TSTP Solution File: ALG102+1 by Zenon---0.7.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG102+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 18:29:14 EDT 2022
% Result : Theorem 42.92s 43.11s
% Output : Proof 43.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG102+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 04:36:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 42.92/43.11 (* PROOF-FOUND *)
% 42.92/43.11 % SZS status Theorem
% 42.92/43.11 (* BEGIN-PROOF *)
% 42.92/43.11 % SZS output start Proof
% 42.92/43.11 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))))))))))))))))))))))))))).
% 42.92/43.11 Proof.
% 42.92/43.11 assert (zenon_L1_ : (((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\(((op2 (e20) (e20)) = (e20))/\(~((op2 (e20) (e20)) = (e20)))))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H12.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H14. zenon_intro zenon_H16.
% 42.92/43.11 exact (zenon_H16 zenon_H14).
% 42.92/43.11 (* end of lemma zenon_L1_ *)
% 42.92/43.11 assert (zenon_L2_ : (((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\(((op2 (e21) (e21)) = (e20))/\(~((op2 (e21) (e20)) = (e21)))))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H17.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H14. zenon_intro zenon_H18.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H16. zenon_intro zenon_H19.
% 42.92/43.11 exact (zenon_H16 zenon_H14).
% 42.92/43.11 (* end of lemma zenon_L2_ *)
% 42.92/43.11 assert (zenon_L3_ : (((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\(((op2 (e22) (e22)) = (e20))/\(~((op2 (e22) (e20)) = (e22)))))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H1a.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H14. zenon_intro zenon_H1b.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H16. zenon_intro zenon_H1c.
% 42.92/43.11 exact (zenon_H16 zenon_H14).
% 42.92/43.11 (* end of lemma zenon_L3_ *)
% 42.92/43.11 assert (zenon_L4_ : (((op2 (e20) (e20)) = (e20))/\((~((op2 (e20) (e20)) = (e20)))/\(((op2 (e23) (e23)) = (e20))/\(~((op2 (e23) (e20)) = (e23)))))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H1d.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H14. zenon_intro zenon_H1e.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H16. zenon_intro zenon_H1f.
% 42.92/43.11 exact (zenon_H16 zenon_H14).
% 42.92/43.11 (* end of lemma zenon_L4_ *)
% 42.92/43.11 assert (zenon_L5_ : (((op2 (e20) (e21)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\(((op2 (e20) (e20)) = (e21))/\(~((op2 (e20) (e21)) = (e20)))))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H20.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H22. zenon_intro zenon_H21.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 42.92/43.11 exact (zenon_H25 zenon_H22).
% 42.92/43.11 (* end of lemma zenon_L5_ *)
% 42.92/43.11 assert (zenon_L6_ : (((op2 (e20) (e21)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\(((op2 (e21) (e21)) = (e21))/\(~((op2 (e21) (e21)) = (e21)))))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H27.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H22. zenon_intro zenon_H28.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H24. zenon_intro zenon_H29.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 42.92/43.11 exact (zenon_H2a zenon_H2b).
% 42.92/43.11 (* end of lemma zenon_L6_ *)
% 42.92/43.11 assert (zenon_L7_ : (~((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H2c zenon_H2d.
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 42.92/43.11 congruence.
% 42.92/43.11 apply zenon_H2e. apply sym_equal. exact zenon_H2d.
% 42.92/43.11 apply zenon_H2e. apply sym_equal. exact zenon_H2d.
% 42.92/43.11 (* end of lemma zenon_L7_ *)
% 42.92/43.11 assert (zenon_L8_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e23) (e21)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H2f zenon_H30 zenon_H31 zenon_H2d.
% 42.92/43.11 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H2f.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H30.
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 42.92/43.11 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e20) = (op2 (e23) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H32.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H33.
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 42.92/43.11 cut (((op2 (e23) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H35].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_H35 zenon_H31).
% 42.92/43.11 apply zenon_H34. apply refl_equal.
% 42.92/43.11 apply zenon_H34. apply refl_equal.
% 42.92/43.11 apply (zenon_L7_); trivial.
% 42.92/43.11 (* end of lemma zenon_L8_ *)
% 42.92/43.11 assert (zenon_L9_ : (~((e20) = (e20))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H36.
% 42.92/43.11 apply zenon_H36. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L9_ *)
% 42.92/43.11 assert (zenon_L10_ : (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H37 zenon_H38 zenon_H39 zenon_H3a.
% 42.92/43.11 cut (((op2 (e20) (op2 (e20) (e21))) = (e21)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H37.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H38.
% 42.92/43.11 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 42.92/43.11 cut (((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (op2 (e20) (e21))) = (op2 (e20) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H3c.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H3d.
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (op2 (e20) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 42.92/43.11 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.11 congruence.
% 42.92/43.11 apply zenon_H36. apply refl_equal.
% 42.92/43.11 apply zenon_H40. apply sym_equal. exact zenon_H39.
% 42.92/43.11 apply zenon_H3e. apply refl_equal.
% 42.92/43.11 apply zenon_H3e. apply refl_equal.
% 42.92/43.11 apply zenon_H3b. apply sym_equal. exact zenon_H3a.
% 42.92/43.11 (* end of lemma zenon_L10_ *)
% 42.92/43.11 assert (zenon_L11_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H41 zenon_H42 zenon_H43.
% 42.92/43.11 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H43.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H33.
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e23) (e21)) = (op2 (e21) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H44.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H41.
% 42.92/43.11 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.92/43.11 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e22) = (op2 (e23) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H46.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H33.
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 42.92/43.11 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_H47 zenon_H42).
% 42.92/43.11 apply zenon_H34. apply refl_equal.
% 42.92/43.11 apply zenon_H34. apply refl_equal.
% 42.92/43.11 apply zenon_H45. apply refl_equal.
% 42.92/43.11 apply zenon_H34. apply refl_equal.
% 42.92/43.11 apply zenon_H34. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L11_ *)
% 42.92/43.11 assert (zenon_L12_ : (~((e21) = (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H48.
% 42.92/43.11 apply zenon_H48. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L12_ *)
% 42.92/43.11 assert (zenon_L13_ : (~((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H49 zenon_H41.
% 42.92/43.11 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.11 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 42.92/43.11 congruence.
% 42.92/43.11 apply zenon_H4a. apply sym_equal. exact zenon_H41.
% 42.92/43.11 apply zenon_H48. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L13_ *)
% 42.92/43.11 assert (zenon_L14_ : ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e21)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H2d zenon_H4b zenon_H41 zenon_H4c.
% 42.92/43.11 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H4c.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H33.
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H4d.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H2d.
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 42.92/43.11 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e23) = (op2 (e23) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H4e.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H33.
% 42.92/43.11 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 42.92/43.11 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_H4f zenon_H4b).
% 42.92/43.11 apply zenon_H34. apply refl_equal.
% 42.92/43.11 apply zenon_H34. apply refl_equal.
% 42.92/43.11 apply (zenon_L13_); trivial.
% 42.92/43.11 apply zenon_H34. apply refl_equal.
% 42.92/43.11 apply zenon_H34. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L14_ *)
% 42.92/43.11 assert (zenon_L15_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (op2 (e20) (e21))) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H50 zenon_H30 zenon_H2f zenon_H39 zenon_H38 zenon_H37 zenon_H43 zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H31 | zenon_intro zenon_H51 ].
% 42.92/43.11 apply (zenon_L8_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H3a | zenon_intro zenon_H52 ].
% 42.92/43.11 apply (zenon_L10_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H42 | zenon_intro zenon_H4b ].
% 42.92/43.11 apply (zenon_L11_); trivial.
% 42.92/43.11 apply (zenon_L14_); trivial.
% 42.92/43.11 (* end of lemma zenon_L15_ *)
% 42.92/43.11 assert (zenon_L16_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> ((op2 (e20) (e22)) = (e21)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H53 zenon_H54 zenon_H55 zenon_H41.
% 42.92/43.11 cut (((op2 (e20) (op2 (e20) (e22))) = (e22)) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H53.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H54.
% 42.92/43.11 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 42.92/43.11 cut (((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H57].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H57.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H3d.
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 42.92/43.11 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.11 congruence.
% 42.92/43.11 apply zenon_H36. apply refl_equal.
% 42.92/43.11 apply zenon_H59. apply sym_equal. exact zenon_H55.
% 42.92/43.11 apply zenon_H3e. apply refl_equal.
% 42.92/43.11 apply zenon_H3e. apply refl_equal.
% 42.92/43.11 exact (zenon_H56 zenon_H41).
% 42.92/43.11 (* end of lemma zenon_L16_ *)
% 42.92/43.11 assert (zenon_L17_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e21)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H5a zenon_H2d zenon_H5b zenon_H41.
% 42.92/43.11 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H5a.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H2d.
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 42.92/43.11 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e23) = (op2 (e20) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H5c.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H3d.
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 42.92/43.11 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_H5d zenon_H5b).
% 42.92/43.11 apply zenon_H3e. apply refl_equal.
% 42.92/43.11 apply zenon_H3e. apply refl_equal.
% 42.92/43.11 apply (zenon_L13_); trivial.
% 42.92/43.11 (* end of lemma zenon_L17_ *)
% 42.92/43.11 assert (zenon_L18_ : (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e21) (e21)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H5e zenon_H2d zenon_H5f zenon_H41.
% 42.92/43.11 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H5e.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H2d.
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 42.92/43.11 cut (((e23) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H45 ].
% 42.92/43.11 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e23) = (op2 (e21) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H60.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H61.
% 42.92/43.11 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.92/43.11 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_H62 zenon_H5f).
% 42.92/43.11 apply zenon_H45. apply refl_equal.
% 42.92/43.11 apply zenon_H45. apply refl_equal.
% 42.92/43.11 apply (zenon_L13_); trivial.
% 42.92/43.11 (* end of lemma zenon_L18_ *)
% 42.92/43.11 assert (zenon_L19_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H5a zenon_H63 zenon_H64 zenon_H65.
% 42.92/43.11 cut (((op2 (e20) (op2 (e20) (e23))) = (e23)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H5a.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H63.
% 42.92/43.11 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 42.92/43.11 cut (((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H67.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H3d.
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 42.92/43.11 cut (((op2 (e20) (e21)) = (op2 (e20) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 42.92/43.11 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.11 congruence.
% 42.92/43.11 apply zenon_H36. apply refl_equal.
% 42.92/43.11 apply zenon_H69. apply sym_equal. exact zenon_H64.
% 42.92/43.11 apply zenon_H3e. apply refl_equal.
% 42.92/43.11 apply zenon_H3e. apply refl_equal.
% 42.92/43.11 apply zenon_H66. apply sym_equal. exact zenon_H65.
% 42.92/43.11 (* end of lemma zenon_L19_ *)
% 42.92/43.11 assert (zenon_L20_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H6a zenon_H5e zenon_H64 zenon_H63 zenon_H5a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.11 apply (zenon_L17_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.11 apply (zenon_L18_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.11 apply (zenon_L19_); trivial.
% 42.92/43.11 apply (zenon_L14_); trivial.
% 42.92/43.11 (* end of lemma zenon_L20_ *)
% 42.92/43.11 assert (zenon_L21_ : (((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H6d zenon_H6e zenon_H24 zenon_H43 zenon_H37 zenon_H2f zenon_H30 zenon_H50 zenon_H53 zenon_H6a zenon_H5e zenon_H5a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H74 ].
% 42.92/43.11 exact (zenon_H24 zenon_H26).
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H39 | zenon_intro zenon_H75 ].
% 42.92/43.11 apply (zenon_L15_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 42.92/43.11 apply (zenon_L16_); trivial.
% 42.92/43.11 apply (zenon_L20_); trivial.
% 42.92/43.11 (* end of lemma zenon_L21_ *)
% 42.92/43.11 assert (zenon_L22_ : (((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))))))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((op2 (e20) (e21)) = (e20)) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H76 zenon_H24 zenon_H22.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 42.92/43.11 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 42.92/43.11 exact (zenon_H25 zenon_H22).
% 42.92/43.11 exact (zenon_H24 zenon_H26).
% 42.92/43.11 (* end of lemma zenon_L22_ *)
% 42.92/43.11 assert (zenon_L23_ : (~((e23) = (e23))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H81.
% 42.92/43.11 apply zenon_H81. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L23_ *)
% 42.92/43.11 assert (zenon_L24_ : (~((e22) = (e23))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e20) (e20)) = (e22)) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H82 zenon_H83 zenon_H84.
% 42.92/43.11 cut (((op2 (e20) (e20)) = (e23)) = ((e22) = (e23))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H82.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H83.
% 42.92/43.11 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 42.92/43.11 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_H85 zenon_H84).
% 42.92/43.11 apply zenon_H81. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L24_ *)
% 42.92/43.11 assert (zenon_L25_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H86 zenon_H30 zenon_H87 zenon_H2d.
% 42.92/43.11 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H86.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H30.
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 42.92/43.11 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ].
% 42.92/43.11 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e20) = (op2 (e22) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H88.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H89.
% 42.92/43.11 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.92/43.11 cut (((op2 (e22) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_H8b zenon_H87).
% 42.92/43.11 apply zenon_H8a. apply refl_equal.
% 42.92/43.11 apply zenon_H8a. apply refl_equal.
% 42.92/43.11 apply (zenon_L7_); trivial.
% 42.92/43.11 (* end of lemma zenon_L25_ *)
% 42.92/43.11 assert (zenon_L26_ : (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H8c zenon_H8d zenon_H8e.
% 42.92/43.11 cut (((op2 (e22) (e22)) = (e21)) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H8c.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H8d.
% 42.92/43.11 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.11 congruence.
% 42.92/43.11 apply zenon_H90. apply refl_equal.
% 42.92/43.11 apply zenon_H8f. apply sym_equal. exact zenon_H8e.
% 42.92/43.11 (* end of lemma zenon_L26_ *)
% 42.92/43.11 assert (zenon_L27_ : (~((e22) = (e22))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H91.
% 42.92/43.11 apply zenon_H91. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L27_ *)
% 42.92/43.11 assert (zenon_L28_ : ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H92 zenon_H93 zenon_H94 zenon_H95.
% 42.92/43.11 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H90 ].
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H95.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H96.
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((op2 (e22) (op2 (e22) (e23))) = (e23)) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H97.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H92.
% 42.92/43.11 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 42.92/43.11 cut (((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H90 ].
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (op2 (e22) (e23))) = (op2 (e22) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H99.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H96.
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e22) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H9b].
% 42.92/43.11 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 42.92/43.11 congruence.
% 42.92/43.11 apply zenon_H91. apply refl_equal.
% 42.92/43.11 apply zenon_H9b. apply sym_equal. exact zenon_H93.
% 42.92/43.11 apply zenon_H90. apply refl_equal.
% 42.92/43.11 apply zenon_H90. apply refl_equal.
% 42.92/43.11 apply zenon_H98. apply sym_equal. exact zenon_H94.
% 42.92/43.11 apply zenon_H90. apply refl_equal.
% 42.92/43.11 apply zenon_H90. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L28_ *)
% 42.92/43.11 assert (zenon_L29_ : ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H2d zenon_H9c zenon_H41 zenon_H9d.
% 42.92/43.11 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ].
% 42.92/43.11 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H9d.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H89.
% 42.92/43.11 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.92/43.11 cut (((op2 (e22) (e23)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e23)) = (op2 (e22) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H9e.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H2d.
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 42.92/43.11 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ].
% 42.92/43.11 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e23) = (op2 (e22) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H9f.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H89.
% 42.92/43.11 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.92/43.11 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_Ha0 zenon_H9c).
% 42.92/43.11 apply zenon_H8a. apply refl_equal.
% 42.92/43.11 apply zenon_H8a. apply refl_equal.
% 42.92/43.11 apply (zenon_L13_); trivial.
% 42.92/43.11 apply zenon_H8a. apply refl_equal.
% 42.92/43.11 apply zenon_H8a. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L29_ *)
% 42.92/43.11 assert (zenon_L30_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H8c zenon_H95 zenon_H94 zenon_H92 zenon_H2d zenon_H41 zenon_H9d.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H87 | zenon_intro zenon_Ha2 ].
% 42.92/43.11 apply (zenon_L25_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8e | zenon_intro zenon_Ha3 ].
% 42.92/43.11 apply (zenon_L26_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H93 | zenon_intro zenon_H9c ].
% 42.92/43.11 apply (zenon_L28_); trivial.
% 42.92/43.11 apply (zenon_L29_); trivial.
% 42.92/43.11 (* end of lemma zenon_L30_ *)
% 42.92/43.11 assert (zenon_L31_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e20) (e23)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Ha4 zenon_H30 zenon_Ha5 zenon_H2d.
% 42.92/43.11 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Ha4.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H30.
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 42.92/43.11 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ].
% 42.92/43.11 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e20) = (op2 (e20) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Ha6.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Ha7.
% 42.92/43.11 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 42.92/43.11 cut (((op2 (e20) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Ha9].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_Ha9 zenon_Ha5).
% 42.92/43.11 apply zenon_Ha8. apply refl_equal.
% 42.92/43.11 apply zenon_Ha8. apply refl_equal.
% 42.92/43.11 apply (zenon_L7_); trivial.
% 42.92/43.11 (* end of lemma zenon_L31_ *)
% 42.92/43.11 assert (zenon_L32_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e21) (e23)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Haa zenon_H30 zenon_Hab zenon_H2d.
% 42.92/43.11 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Haa.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H30.
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 42.92/43.11 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 42.92/43.11 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e20) = (op2 (e21) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hac.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Had.
% 42.92/43.11 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 42.92/43.11 cut (((op2 (e21) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_Haf zenon_Hab).
% 42.92/43.11 apply zenon_Hae. apply refl_equal.
% 42.92/43.11 apply zenon_Hae. apply refl_equal.
% 42.92/43.11 apply (zenon_L7_); trivial.
% 42.92/43.11 (* end of lemma zenon_L32_ *)
% 42.92/43.11 assert (zenon_L33_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e20) (e22)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H41 zenon_Hb0 zenon_Hb1.
% 42.92/43.11 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e21) (e21)) = (op2 (e20) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hb1.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hb2.
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e20) (e22)) = (op2 (e21) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hb4.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H41.
% 42.92/43.11 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.92/43.11 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e22) = (op2 (e20) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hb5.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hb2.
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_Hb6 zenon_Hb0).
% 42.92/43.11 apply zenon_Hb3. apply refl_equal.
% 42.92/43.11 apply zenon_Hb3. apply refl_equal.
% 42.92/43.11 apply zenon_H45. apply refl_equal.
% 42.92/43.11 apply zenon_Hb3. apply refl_equal.
% 42.92/43.11 apply zenon_Hb3. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L33_ *)
% 42.92/43.11 assert (zenon_L34_ : (~((op2 (e21) (e21)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Hb7 zenon_Hb0 zenon_H41 zenon_Hb8.
% 42.92/43.11 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e21) (e21)) = (op2 (e23) (e20)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hb7.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hb0.
% 42.92/43.11 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H45 ].
% 42.92/43.11 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e22)) = (op2 (e21) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hb4.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H61.
% 42.92/43.11 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.92/43.11 cut (((op2 (e21) (e21)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 42.92/43.11 congruence.
% 42.92/43.11 apply (zenon_L33_); trivial.
% 42.92/43.11 apply zenon_H45. apply refl_equal.
% 42.92/43.11 apply zenon_H45. apply refl_equal.
% 42.92/43.11 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 42.92/43.11 (* end of lemma zenon_L34_ *)
% 42.92/43.11 assert (zenon_L35_ : (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Hba zenon_H84 zenon_Hb8 zenon_Hb0 zenon_H41.
% 42.92/43.11 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hba.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H41.
% 42.92/43.11 cut (((op2 (e21) (e21)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 42.92/43.11 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbd ].
% 42.92/43.11 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e22) = (op2 (e20) (e20)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hbb.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hbc.
% 42.92/43.11 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 42.92/43.11 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_H85 zenon_H84).
% 42.92/43.11 apply zenon_Hbd. apply refl_equal.
% 42.92/43.11 apply zenon_Hbd. apply refl_equal.
% 42.92/43.11 apply (zenon_L34_); trivial.
% 42.92/43.11 (* end of lemma zenon_L35_ *)
% 42.92/43.11 assert (zenon_L36_ : (~((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e22) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e20)) = (e20)) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Hbe zenon_Hbf zenon_H2d zenon_Hc0.
% 42.92/43.11 cut (((op2 (e23) (e23)) = (e20)) = ((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e22) (e20)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hbe.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hbf.
% 42.92/43.11 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 42.92/43.11 cut (((op2 (e23) (e23)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc4 ].
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e23) (e23)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hc2.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hc3.
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 42.92/43.11 congruence.
% 42.92/43.11 apply (zenon_L7_); trivial.
% 42.92/43.11 apply zenon_Hc4. apply refl_equal.
% 42.92/43.11 apply zenon_Hc4. apply refl_equal.
% 42.92/43.11 apply zenon_Hc1. apply sym_equal. exact zenon_Hc0.
% 42.92/43.11 (* end of lemma zenon_L36_ *)
% 42.92/43.11 assert (zenon_L37_ : (~((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e20) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Hc5 zenon_H2d zenon_Hc0 zenon_Hbf zenon_H22.
% 42.92/43.11 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e20) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hc5.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hc0.
% 42.92/43.11 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 42.92/43.11 cut (((op2 (e22) (e20)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc4 ].
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e22) (e20)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hc7.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hc3.
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_Hc4].
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 42.92/43.11 congruence.
% 42.92/43.11 apply (zenon_L36_); trivial.
% 42.92/43.11 apply zenon_Hc4. apply refl_equal.
% 42.92/43.11 apply zenon_Hc4. apply refl_equal.
% 42.92/43.11 apply zenon_Hc6. apply sym_equal. exact zenon_H22.
% 42.92/43.11 (* end of lemma zenon_L37_ *)
% 42.92/43.11 assert (zenon_L38_ : ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H30 zenon_Hc8 zenon_H22 zenon_H2d zenon_Hc0 zenon_Hbf zenon_Hc9.
% 42.92/43.11 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hc9.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hb2.
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hca.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H30.
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc5].
% 42.92/43.11 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e20) = (op2 (e20) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hcb.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hb2.
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hcc].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_Hcc zenon_Hc8).
% 42.92/43.11 apply zenon_Hb3. apply refl_equal.
% 42.92/43.11 apply zenon_Hb3. apply refl_equal.
% 42.92/43.11 apply (zenon_L37_); trivial.
% 42.92/43.11 apply zenon_Hb3. apply refl_equal.
% 42.92/43.11 apply zenon_Hb3. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L38_ *)
% 42.92/43.11 assert (zenon_L39_ : (~((op2 (op2 (e21) (e21)) (e21)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e21)) = (e20)) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Hcd zenon_Hce.
% 42.92/43.11 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.11 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_Hcf zenon_Hce).
% 42.92/43.11 apply zenon_H48. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L39_ *)
% 42.92/43.11 assert (zenon_L40_ : ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H2d zenon_H65 zenon_Hce zenon_H5a.
% 42.92/43.11 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd1 ].
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H5a.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hd0.
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd2].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e21)) = (op2 (e20) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hd2.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H2d.
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 42.92/43.11 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd1 ].
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H66.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hd0.
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.92/43.11 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_Hd3 zenon_H65).
% 42.92/43.11 apply zenon_Hd1. apply refl_equal.
% 42.92/43.11 apply zenon_Hd1. apply refl_equal.
% 42.92/43.11 apply (zenon_L39_); trivial.
% 42.92/43.11 apply zenon_Hd1. apply refl_equal.
% 42.92/43.11 apply zenon_Hd1. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L40_ *)
% 42.92/43.11 assert (zenon_L41_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H6a zenon_H5e zenon_H5a zenon_Hce zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.11 apply (zenon_L17_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.11 apply (zenon_L18_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.11 apply (zenon_L40_); trivial.
% 42.92/43.11 apply (zenon_L14_); trivial.
% 42.92/43.11 (* end of lemma zenon_L41_ *)
% 42.92/43.11 assert (zenon_L42_ : ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H30 zenon_Hd4 zenon_Hbf zenon_Hc0 zenon_H2d zenon_Hd5.
% 42.92/43.11 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd1 ].
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hd5.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hd0.
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e22) (e21)) = (op2 (e22) (e20)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hd6.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H30.
% 42.92/43.11 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 42.92/43.11 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd1 ].
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e20) = (op2 (e22) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hd7.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hd0.
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.92/43.11 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_Hd8 zenon_Hd4).
% 42.92/43.11 apply zenon_Hd1. apply refl_equal.
% 42.92/43.11 apply zenon_Hd1. apply refl_equal.
% 42.92/43.11 apply (zenon_L36_); trivial.
% 42.92/43.11 apply zenon_Hd1. apply refl_equal.
% 42.92/43.11 apply zenon_Hd1. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L42_ *)
% 42.92/43.11 assert (zenon_L43_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Hd9 zenon_Hc9 zenon_Hc8 zenon_H4c zenon_H41 zenon_H5a zenon_H5e zenon_H6a zenon_Hd5 zenon_Hc0 zenon_Hbf zenon_H2f zenon_H30 zenon_H2d.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H22 | zenon_intro zenon_Hda ].
% 42.92/43.11 apply (zenon_L38_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ].
% 42.92/43.11 apply (zenon_L41_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H31 ].
% 42.92/43.11 apply (zenon_L42_); trivial.
% 42.92/43.11 apply (zenon_L8_); trivial.
% 42.92/43.11 (* end of lemma zenon_L43_ *)
% 42.92/43.11 assert (zenon_L44_ : ((op2 (e22) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_H8d zenon_H55 zenon_H95.
% 42.92/43.11 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H90 ].
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H95.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H96.
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((op2 (e22) (e22)) = (e21)) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H97.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H8d.
% 42.92/43.11 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 42.92/43.11 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.11 congruence.
% 42.92/43.11 apply zenon_H90. apply refl_equal.
% 42.92/43.11 apply zenon_H59. apply sym_equal. exact zenon_H55.
% 42.92/43.11 apply zenon_H90. apply refl_equal.
% 42.92/43.11 apply zenon_H90. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L44_ *)
% 42.92/43.11 assert (zenon_L45_ : ((op2 (e23) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Hdc zenon_H41 zenon_Hb0 zenon_Hdd.
% 42.92/43.11 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdf ].
% 42.92/43.11 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hdd.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hde.
% 42.92/43.11 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 42.92/43.11 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_He0].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_He0.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H41.
% 42.92/43.11 cut (((op2 (e21) (e21)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 42.92/43.11 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_He1].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdf ].
% 42.92/43.11 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e22) = (op2 (e23) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_He1.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hde.
% 42.92/43.11 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 42.92/43.11 cut (((op2 (e23) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_He2 zenon_Hdc).
% 42.92/43.11 apply zenon_Hdf. apply refl_equal.
% 42.92/43.11 apply zenon_Hdf. apply refl_equal.
% 42.92/43.11 apply (zenon_L33_); trivial.
% 42.92/43.11 apply zenon_Hdf. apply refl_equal.
% 42.92/43.11 apply zenon_Hdf. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L45_ *)
% 42.92/43.11 assert (zenon_L46_ : (~((op2 (op2 (e21) (e21)) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e23)) -> False).
% 42.92/43.11 do 0 intro. intros zenon_He3 zenon_H65 zenon_H41 zenon_He4.
% 42.92/43.11 cut (((op2 (e22) (e21)) = (e23)) = ((op2 (op2 (e21) (e21)) (e21)) = (op2 (e20) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_He3.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H65.
% 42.92/43.11 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 42.92/43.11 cut (((op2 (e22) (e21)) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (op2 (e21) (e21)) (e21)) = (op2 (op2 (e21) (e21)) (e21)))); [ zenon_intro zenon_He7 | zenon_intro zenon_He8 ].
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e21)) = (op2 (op2 (e21) (e21)) (e21)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_He6.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_He7.
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 42.92/43.11 congruence.
% 42.92/43.11 apply (zenon_L13_); trivial.
% 42.92/43.11 apply zenon_He8. apply refl_equal.
% 42.92/43.11 apply zenon_He8. apply refl_equal.
% 42.92/43.11 apply zenon_He5. apply sym_equal. exact zenon_He4.
% 42.92/43.11 (* end of lemma zenon_L46_ *)
% 42.92/43.11 assert (zenon_L47_ : (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_He9 zenon_H2d zenon_H94 zenon_H65 zenon_He4 zenon_H41.
% 42.92/43.11 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_He9.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_H2d.
% 42.92/43.11 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 42.92/43.11 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 42.92/43.11 congruence.
% 42.92/43.11 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e23) = (op2 (e20) (e22)))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_H98.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hb2.
% 42.92/43.11 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 42.92/43.11 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_Hea zenon_H94).
% 42.92/43.11 apply zenon_Hb3. apply refl_equal.
% 42.92/43.11 apply zenon_Hb3. apply refl_equal.
% 42.92/43.11 apply (zenon_L46_); trivial.
% 42.92/43.11 (* end of lemma zenon_L47_ *)
% 42.92/43.11 assert (zenon_L48_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Heb zenon_H30 zenon_H2f zenon_Hbf zenon_Hc0 zenon_Hd5 zenon_H6a zenon_H5e zenon_H5a zenon_H4c zenon_Hc9 zenon_Hd9 zenon_H95 zenon_H8d zenon_Hdd zenon_Hdc zenon_He9 zenon_H2d zenon_H65 zenon_He4 zenon_H41.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hec ].
% 42.92/43.11 apply (zenon_L43_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H55 | zenon_intro zenon_Hed ].
% 42.92/43.11 apply (zenon_L44_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H94 ].
% 42.92/43.11 apply (zenon_L45_); trivial.
% 42.92/43.11 apply (zenon_L47_); trivial.
% 42.92/43.11 (* end of lemma zenon_L48_ *)
% 42.92/43.11 assert (zenon_L49_ : ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e22)) -> (~((e20) = (e22))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Hbf zenon_Hee zenon_Hef.
% 42.92/43.11 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H91 ].
% 42.92/43.11 cut (((e22) = (e22)) = ((e20) = (e22))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hef.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hf0.
% 42.92/43.11 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 42.92/43.11 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 42.92/43.11 congruence.
% 42.92/43.11 cut (((op2 (e23) (e23)) = (e20)) = ((e22) = (e20))).
% 42.92/43.11 intro zenon_D_pnotp.
% 42.92/43.11 apply zenon_Hf1.
% 42.92/43.11 rewrite <- zenon_D_pnotp.
% 42.92/43.11 exact zenon_Hbf.
% 42.92/43.11 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.11 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hf2].
% 42.92/43.11 congruence.
% 42.92/43.11 exact (zenon_Hf2 zenon_Hee).
% 42.92/43.11 apply zenon_H36. apply refl_equal.
% 42.92/43.11 apply zenon_H91. apply refl_equal.
% 42.92/43.11 apply zenon_H91. apply refl_equal.
% 42.92/43.11 (* end of lemma zenon_L49_ *)
% 42.92/43.11 assert (zenon_L50_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Hf3 zenon_Hb0 zenon_H84 zenon_Hba zenon_H43 zenon_H41 zenon_He4 zenon_H65 zenon_H2d zenon_He9 zenon_Hdd zenon_H8d zenon_H95 zenon_Hd9 zenon_Hc9 zenon_H4c zenon_H5a zenon_H5e zenon_H6a zenon_Hd5 zenon_Hc0 zenon_H2f zenon_H30 zenon_Heb zenon_Hbf zenon_Hef.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.11 apply (zenon_L35_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.11 apply (zenon_L11_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.11 apply (zenon_L48_); trivial.
% 42.92/43.11 apply (zenon_L49_); trivial.
% 42.92/43.11 (* end of lemma zenon_L50_ *)
% 42.92/43.11 assert (zenon_L51_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((e20) = (e22))) -> False).
% 42.92/43.11 do 0 intro. intros zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Hf3 zenon_Hb0 zenon_H84 zenon_Hba zenon_H43 zenon_H41 zenon_He4 zenon_H65 zenon_H2d zenon_He9 zenon_Hdd zenon_H8d zenon_H95 zenon_Hd9 zenon_Hc9 zenon_H4c zenon_H5a zenon_H5e zenon_H6a zenon_Hd5 zenon_Hc0 zenon_H2f zenon_H30 zenon_Heb zenon_Hef.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hf7 ].
% 42.92/43.11 apply (zenon_L31_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf8 ].
% 42.92/43.11 apply (zenon_L32_); trivial.
% 42.92/43.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbf ].
% 42.92/43.12 apply (zenon_L25_); trivial.
% 42.92/43.12 apply (zenon_L50_); trivial.
% 42.92/43.12 (* end of lemma zenon_L51_ *)
% 42.92/43.12 assert (zenon_L52_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H41 zenon_Hf9 zenon_Hfa.
% 42.92/43.12 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ].
% 42.92/43.12 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_Hfa.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Hfb.
% 42.92/43.12 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 42.92/43.12 cut (((op2 (e21) (e22)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hfd].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e21) (e22)) = (op2 (e21) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_Hfd.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H41.
% 42.92/43.12 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.92/43.12 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ].
% 42.92/43.12 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e22) = (op2 (e21) (e22)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_Hfe.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Hfb.
% 42.92/43.12 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 42.92/43.12 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_Hff].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_Hff zenon_Hf9).
% 42.92/43.12 apply zenon_Hfc. apply refl_equal.
% 42.92/43.12 apply zenon_Hfc. apply refl_equal.
% 42.92/43.12 apply zenon_H45. apply refl_equal.
% 42.92/43.12 apply zenon_Hfc. apply refl_equal.
% 42.92/43.12 apply zenon_Hfc. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L52_ *)
% 42.92/43.12 assert (zenon_L53_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Heb zenon_H30 zenon_H2f zenon_Hc0 zenon_Hd5 zenon_H6a zenon_H5e zenon_H5a zenon_H4c zenon_Hc9 zenon_Hd9 zenon_H95 zenon_H8d zenon_Hdd zenon_Hdc zenon_He9 zenon_H2d zenon_H65 zenon_He4 zenon_H41.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hf7 ].
% 42.92/43.12 apply (zenon_L31_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf8 ].
% 42.92/43.12 apply (zenon_L32_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbf ].
% 42.92/43.12 apply (zenon_L25_); trivial.
% 42.92/43.12 apply (zenon_L48_); trivial.
% 42.92/43.12 (* end of lemma zenon_L53_ *)
% 42.92/43.12 assert (zenon_L54_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (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 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H100 zenon_Hef zenon_H43 zenon_Hba zenon_H84 zenon_Hf3 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Heb zenon_H30 zenon_H2f zenon_Hc0 zenon_Hd5 zenon_H6a zenon_H5e zenon_H5a zenon_H4c zenon_Hc9 zenon_Hd9 zenon_H95 zenon_H8d zenon_Hdd zenon_He9 zenon_H2d zenon_H65 zenon_He4 zenon_H41.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 42.92/43.12 apply (zenon_L51_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 42.92/43.12 apply (zenon_L52_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 42.92/43.12 exact (zenon_H101 zenon_H104).
% 42.92/43.12 apply (zenon_L53_); trivial.
% 42.92/43.12 (* end of lemma zenon_L54_ *)
% 42.92/43.12 assert (zenon_L55_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H5a zenon_H22 zenon_Hd4.
% 42.92/43.12 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H5a.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H22.
% 42.92/43.12 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 42.92/43.12 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 42.92/43.12 congruence.
% 42.92/43.12 apply zenon_H3e. apply refl_equal.
% 42.92/43.12 apply zenon_Hd7. apply sym_equal. exact zenon_Hd4.
% 42.92/43.12 (* end of lemma zenon_L55_ *)
% 42.92/43.12 assert (zenon_L56_ : ((op2 (e22) (e22)) = (e20)) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H105 zenon_H8d zenon_H106.
% 42.92/43.12 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H107 | zenon_intro zenon_H48 ].
% 42.92/43.12 cut (((e21) = (e21)) = ((e20) = (e21))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H106.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H107.
% 42.92/43.12 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.12 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H108].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((op2 (e22) (e22)) = (e20)) = ((e21) = (e20))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H108.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H105.
% 42.92/43.12 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.12 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H109].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H109 zenon_H8d).
% 42.92/43.12 apply zenon_H36. apply refl_equal.
% 42.92/43.12 apply zenon_H48. apply refl_equal.
% 42.92/43.12 apply zenon_H48. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L56_ *)
% 42.92/43.12 assert (zenon_L57_ : ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (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 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_Hef zenon_H43 zenon_Hba zenon_H84 zenon_Hf3 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_He4 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.12 apply (zenon_L17_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.12 apply (zenon_L18_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 42.92/43.12 apply (zenon_L54_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 42.92/43.12 apply (zenon_L55_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 42.92/43.12 apply (zenon_L56_); trivial.
% 42.92/43.12 apply (zenon_L25_); trivial.
% 42.92/43.12 apply (zenon_L14_); trivial.
% 42.92/43.12 (* end of lemma zenon_L57_ *)
% 42.92/43.12 assert (zenon_L58_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (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 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H10d zenon_H82 zenon_H9d zenon_H92 zenon_H8c zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_Hef zenon_H43 zenon_Hba zenon_H84 zenon_Hf3 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.12 apply (zenon_L24_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.12 apply (zenon_L17_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.12 apply (zenon_L30_); trivial.
% 42.92/43.12 apply (zenon_L57_); trivial.
% 42.92/43.12 (* end of lemma zenon_L58_ *)
% 42.92/43.12 assert (zenon_L59_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e21)) = (e22)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H53 zenon_H41 zenon_H110.
% 42.92/43.12 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H53.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H41.
% 42.92/43.12 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.92/43.12 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H111].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 42.92/43.12 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e22) = (op2 (e20) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H111.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H3d.
% 42.92/43.12 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 42.92/43.12 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H112].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H112 zenon_H110).
% 42.92/43.12 apply zenon_H3e. apply refl_equal.
% 42.92/43.12 apply zenon_H3e. apply refl_equal.
% 42.92/43.12 apply zenon_H45. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L59_ *)
% 42.92/43.12 assert (zenon_L60_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e22)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H113 zenon_H41 zenon_H114.
% 42.92/43.12 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H113.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H41.
% 42.92/43.12 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.92/43.12 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H115].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ].
% 42.92/43.12 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e22) = (op2 (e21) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H115.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H116.
% 42.92/43.12 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 42.92/43.12 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H118].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H118 zenon_H114).
% 42.92/43.12 apply zenon_H117. apply refl_equal.
% 42.92/43.12 apply zenon_H117. apply refl_equal.
% 42.92/43.12 apply zenon_H45. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L60_ *)
% 42.92/43.12 assert (zenon_L61_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H119 zenon_H11a zenon_Hb8 zenon_Hb0 zenon_H41.
% 42.92/43.12 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H119.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H41.
% 42.92/43.12 cut (((op2 (e21) (e21)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb7].
% 42.92/43.12 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H11b].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H11c | zenon_intro zenon_H11d ].
% 42.92/43.12 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e22) = (op2 (e22) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H11b.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H11c.
% 42.92/43.12 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 42.92/43.12 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H11e].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H11e zenon_H11a).
% 42.92/43.12 apply zenon_H11d. apply refl_equal.
% 42.92/43.12 apply zenon_H11d. apply refl_equal.
% 42.92/43.12 apply (zenon_L34_); trivial.
% 42.92/43.12 (* end of lemma zenon_L61_ *)
% 42.92/43.12 assert (zenon_L62_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> (~((e20) = (e22))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_Hee zenon_Hef.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hf7 ].
% 42.92/43.12 apply (zenon_L31_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf8 ].
% 42.92/43.12 apply (zenon_L32_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbf ].
% 42.92/43.12 apply (zenon_L25_); trivial.
% 42.92/43.12 apply (zenon_L49_); trivial.
% 42.92/43.12 (* end of lemma zenon_L62_ *)
% 42.92/43.12 assert (zenon_L63_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_Hf3 zenon_H11a zenon_H119 zenon_H43 zenon_Hdd zenon_Hb0 zenon_H41 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_Hef.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.12 apply (zenon_L61_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.12 apply (zenon_L11_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.12 apply (zenon_L45_); trivial.
% 42.92/43.12 apply (zenon_L62_); trivial.
% 42.92/43.12 (* end of lemma zenon_L63_ *)
% 42.92/43.12 assert (zenon_L64_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e23) (e20)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H11f zenon_H30 zenon_H120 zenon_H2d.
% 42.92/43.12 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H11f.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H30.
% 42.92/43.12 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 42.92/43.12 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ].
% 42.92/43.12 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e20) = (op2 (e23) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H121.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H122.
% 42.92/43.12 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 42.92/43.12 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H124 zenon_H120).
% 42.92/43.12 apply zenon_H123. apply refl_equal.
% 42.92/43.12 apply zenon_H123. apply refl_equal.
% 42.92/43.12 apply (zenon_L7_); trivial.
% 42.92/43.12 (* end of lemma zenon_L64_ *)
% 42.92/43.12 assert (zenon_L65_ : (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e23) (e22)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H125 zenon_H30 zenon_H126 zenon_H2d.
% 42.92/43.12 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H125.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H30.
% 42.92/43.12 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 42.92/43.12 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdf ].
% 42.92/43.12 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e20) = (op2 (e23) (e22)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H127.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Hde.
% 42.92/43.12 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 42.92/43.12 cut (((op2 (e23) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H128].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H128 zenon_H126).
% 42.92/43.12 apply zenon_Hdf. apply refl_equal.
% 42.92/43.12 apply zenon_Hdf. apply refl_equal.
% 42.92/43.12 apply (zenon_L7_); trivial.
% 42.92/43.12 (* end of lemma zenon_L65_ *)
% 42.92/43.12 assert (zenon_L66_ : (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_Hba zenon_H83 zenon_H129.
% 42.92/43.12 cut (((op2 (e20) (e20)) = (e23)) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_Hba.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H83.
% 42.92/43.12 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 42.92/43.12 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 42.92/43.12 congruence.
% 42.92/43.12 apply zenon_Hbd. apply refl_equal.
% 42.92/43.12 apply zenon_H12a. apply sym_equal. exact zenon_H129.
% 42.92/43.12 (* end of lemma zenon_L66_ *)
% 42.92/43.12 assert (zenon_L67_ : ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e23)) = (e23)) -> (~((e20) = (e23))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_Hbf zenon_H12b zenon_H12c.
% 42.92/43.12 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H12d | zenon_intro zenon_H81 ].
% 42.92/43.12 cut (((e23) = (e23)) = ((e20) = (e23))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H12c.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H12d.
% 42.92/43.12 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 42.92/43.12 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((op2 (e23) (e23)) = (e20)) = ((e23) = (e20))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H12e.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Hbf.
% 42.92/43.12 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.12 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H12f].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H12f zenon_H12b).
% 42.92/43.12 apply zenon_H36. apply refl_equal.
% 42.92/43.12 apply zenon_H81. apply refl_equal.
% 42.92/43.12 apply zenon_H81. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L67_ *)
% 42.92/43.12 assert (zenon_L68_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e23) (e22)) = (e23))) -> (~((e20) = (e23))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H30 zenon_H125 zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H41 zenon_H2d zenon_H132 zenon_H12c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 42.92/43.12 apply (zenon_L64_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 42.92/43.12 apply (zenon_L8_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 42.92/43.12 apply (zenon_L65_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 42.92/43.12 apply (zenon_L66_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 42.92/43.12 apply (zenon_L14_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 42.92/43.12 exact (zenon_H132 zenon_H137).
% 42.92/43.12 apply (zenon_L67_); trivial.
% 42.92/43.12 (* end of lemma zenon_L68_ *)
% 42.92/43.12 assert (zenon_L69_ : (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H119 zenon_H11a zenon_Hb8.
% 42.92/43.12 cut (((op2 (e22) (e20)) = (e22)) = ((op2 (e22) (e20)) = (op2 (e23) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H119.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H11a.
% 42.92/43.12 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 42.92/43.12 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 42.92/43.12 congruence.
% 42.92/43.12 apply zenon_H11d. apply refl_equal.
% 42.92/43.12 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 42.92/43.12 (* end of lemma zenon_L69_ *)
% 42.92/43.12 assert (zenon_L70_ : (~((op2 (op2 (e21) (e21)) (e21)) = (op2 (e21) (e20)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H138 zenon_H65 zenon_H41 zenon_H139.
% 42.92/43.12 cut (((op2 (e22) (e21)) = (e23)) = ((op2 (op2 (e21) (e21)) (e21)) = (op2 (e21) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H138.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H65.
% 42.92/43.12 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 42.92/43.12 cut (((op2 (e22) (e21)) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (op2 (e21) (e21)) (e21)) = (op2 (op2 (e21) (e21)) (e21)))); [ zenon_intro zenon_He7 | zenon_intro zenon_He8 ].
% 42.92/43.12 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e21)) = (op2 (op2 (e21) (e21)) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_He6.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_He7.
% 42.92/43.12 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 42.92/43.12 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 42.92/43.12 congruence.
% 42.92/43.12 apply (zenon_L13_); trivial.
% 42.92/43.12 apply zenon_He8. apply refl_equal.
% 42.92/43.12 apply zenon_He8. apply refl_equal.
% 42.92/43.12 apply zenon_H13a. apply sym_equal. exact zenon_H139.
% 42.92/43.12 (* end of lemma zenon_L70_ *)
% 42.92/43.12 assert (zenon_L71_ : ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e20)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H2d zenon_H13b zenon_H65 zenon_H139 zenon_H41 zenon_H13c.
% 42.92/43.12 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ].
% 42.92/43.12 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H13c.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Hfb.
% 42.92/43.12 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 42.92/43.12 cut (((op2 (e21) (e22)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H13d].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e21) (e22)) = (op2 (e21) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H13d.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H2d.
% 42.92/43.12 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H138].
% 42.92/43.12 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H13e].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ].
% 42.92/43.12 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e23) = (op2 (e21) (e22)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H13e.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Hfb.
% 42.92/43.12 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 42.92/43.12 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H13f zenon_H13b).
% 42.92/43.12 apply zenon_Hfc. apply refl_equal.
% 42.92/43.12 apply zenon_Hfc. apply refl_equal.
% 42.92/43.12 apply (zenon_L70_); trivial.
% 42.92/43.12 apply zenon_Hfc. apply refl_equal.
% 42.92/43.12 apply zenon_Hfc. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L71_ *)
% 42.92/43.12 assert (zenon_L72_ : ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e22)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H2d zenon_H140 zenon_H41 zenon_H141.
% 42.92/43.12 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H90 ].
% 42.92/43.12 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H141.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H96.
% 42.92/43.12 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.12 cut (((op2 (e22) (e22)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e22)) = (op2 (e22) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H142.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H2d.
% 42.92/43.12 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 42.92/43.12 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H90 ].
% 42.92/43.12 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e23) = (op2 (e22) (e22)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H143.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H96.
% 42.92/43.12 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.12 cut (((op2 (e22) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H144 zenon_H140).
% 42.92/43.12 apply zenon_H90. apply refl_equal.
% 42.92/43.12 apply zenon_H90. apply refl_equal.
% 42.92/43.12 apply (zenon_L13_); trivial.
% 42.92/43.12 apply zenon_H90. apply refl_equal.
% 42.92/43.12 apply zenon_H90. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L72_ *)
% 42.92/43.12 assert (zenon_L73_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e22)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e22)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H6a zenon_H5a zenon_H5e zenon_H132 zenon_H141 zenon_H139 zenon_H13c zenon_H92 zenon_H95 zenon_H145 zenon_H101 zenon_H146 zenon_H119 zenon_Hb8 zenon_H147 zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.12 apply (zenon_L17_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.12 apply (zenon_L18_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 42.92/43.12 apply (zenon_L69_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 42.92/43.12 exact (zenon_H146 zenon_H14a).
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 42.92/43.12 exact (zenon_H101 zenon_H104).
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H94 | zenon_intro zenon_H14b ].
% 42.92/43.12 apply (zenon_L28_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H13b | zenon_intro zenon_H14c ].
% 42.92/43.12 apply (zenon_L71_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H140 | zenon_intro zenon_H137 ].
% 42.92/43.12 apply (zenon_L72_); trivial.
% 42.92/43.12 exact (zenon_H132 zenon_H137).
% 42.92/43.12 apply (zenon_L14_); trivial.
% 42.92/43.12 (* end of lemma zenon_L73_ *)
% 42.92/43.12 assert (zenon_L74_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e20)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_Hd5 zenon_H2d zenon_H14d zenon_H41.
% 42.92/43.12 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_Hd5.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H2d.
% 42.92/43.12 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 42.92/43.12 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H14e].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H11c | zenon_intro zenon_H11d ].
% 42.92/43.12 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e23) = (op2 (e22) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H14e.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H11c.
% 42.92/43.12 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 42.92/43.12 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14f].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H14f zenon_H14d).
% 42.92/43.12 apply zenon_H11d. apply refl_equal.
% 42.92/43.12 apply zenon_H11d. apply refl_equal.
% 42.92/43.12 apply (zenon_L13_); trivial.
% 42.92/43.12 (* end of lemma zenon_L74_ *)
% 42.92/43.12 assert (zenon_L75_ : (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H150 zenon_H30 zenon_H14 zenon_Hbf zenon_Hc0 zenon_H2d.
% 42.92/43.12 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e20) (e20)) = (op2 (e22) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H150.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H30.
% 42.92/43.12 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 42.92/43.12 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbd ].
% 42.92/43.12 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e20) = (op2 (e20) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H151.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Hbc.
% 42.92/43.12 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 42.92/43.12 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H16 zenon_H14).
% 42.92/43.12 apply zenon_Hbd. apply refl_equal.
% 42.92/43.12 apply zenon_Hbd. apply refl_equal.
% 42.92/43.12 apply (zenon_L36_); trivial.
% 42.92/43.12 (* end of lemma zenon_L75_ *)
% 42.92/43.12 assert (zenon_L76_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((e20) = (e22))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (e20)) = (e23)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H130 zenon_H11f zenon_H125 zenon_H152 zenon_H150 zenon_H24 zenon_Hef zenon_Heb zenon_H30 zenon_H2f zenon_Hc0 zenon_Hd5 zenon_H6a zenon_H5e zenon_H5a zenon_H4c zenon_Hc9 zenon_Hd9 zenon_H95 zenon_H8d zenon_Hdd zenon_He9 zenon_H2d zenon_H65 zenon_He4 zenon_H41 zenon_H43 zenon_Hb0 zenon_Hf3 zenon_Hba zenon_H129.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 42.92/43.12 apply (zenon_L64_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 42.92/43.12 apply (zenon_L8_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 42.92/43.12 apply (zenon_L65_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H14 | zenon_intro zenon_H153 ].
% 42.92/43.12 apply (zenon_L75_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H26 | zenon_intro zenon_H154 ].
% 42.92/43.12 exact (zenon_H24 zenon_H26).
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ].
% 42.92/43.12 apply (zenon_L50_); trivial.
% 42.92/43.12 apply (zenon_L66_); trivial.
% 42.92/43.12 (* end of lemma zenon_L76_ *)
% 42.92/43.12 assert (zenon_L77_ : ((op2 (e20) (e23)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H155 zenon_H41 zenon_Hb0 zenon_He9.
% 42.92/43.12 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ].
% 42.92/43.12 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_He9.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Ha7.
% 42.92/43.12 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 42.92/43.12 cut (((op2 (e20) (e23)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H156].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e20) (e23)) = (op2 (e20) (e22)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H156.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H41.
% 42.92/43.12 cut (((op2 (e21) (e21)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 42.92/43.12 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ].
% 42.92/43.12 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e22) = (op2 (e20) (e23)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H157.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Ha7.
% 42.92/43.12 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 42.92/43.12 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H158].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H158 zenon_H155).
% 42.92/43.12 apply zenon_Ha8. apply refl_equal.
% 42.92/43.12 apply zenon_Ha8. apply refl_equal.
% 42.92/43.12 apply (zenon_L33_); trivial.
% 42.92/43.12 apply zenon_Ha8. apply refl_equal.
% 42.92/43.12 apply zenon_Ha8. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L77_ *)
% 42.92/43.12 assert (zenon_L78_ : ((op2 (e22) (e22)) = (e21)) -> ((op2 (e22) (e22)) = (e22)) -> (~((e21) = (e22))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H8d zenon_H104 zenon_H159.
% 42.92/43.12 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H91 ].
% 42.92/43.12 cut (((e22) = (e22)) = ((e21) = (e22))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H159.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Hf0.
% 42.92/43.12 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 42.92/43.12 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H15a].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((op2 (e22) (e22)) = (e21)) = ((e22) = (e21))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H15a.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H8d.
% 42.92/43.12 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.12 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H101 zenon_H104).
% 42.92/43.12 apply zenon_H48. apply refl_equal.
% 42.92/43.12 apply zenon_H91. apply refl_equal.
% 42.92/43.12 apply zenon_H91. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L78_ *)
% 42.92/43.12 assert (zenon_L79_ : (~((e22) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H82 zenon_H137 zenon_Hdc.
% 42.92/43.12 cut (((op2 (e23) (e22)) = (e23)) = ((e22) = (e23))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H82.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H137.
% 42.92/43.12 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 42.92/43.12 cut (((op2 (e23) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_He2 zenon_Hdc).
% 42.92/43.12 apply zenon_H81. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L79_ *)
% 42.92/43.12 assert (zenon_L80_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e22)) = (e22)) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H41 zenon_H2d zenon_Hdc zenon_H82 zenon_Hbf zenon_H12c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 42.92/43.12 apply (zenon_L66_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 42.92/43.12 apply (zenon_L14_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 42.92/43.12 apply (zenon_L79_); trivial.
% 42.92/43.12 apply (zenon_L67_); trivial.
% 42.92/43.12 (* end of lemma zenon_L80_ *)
% 42.92/43.12 assert (zenon_L81_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e22)) = (e22)) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H30 zenon_H125 zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H41 zenon_H2d zenon_Hdc zenon_H82 zenon_H12c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 42.92/43.12 apply (zenon_L64_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 42.92/43.12 apply (zenon_L8_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 42.92/43.12 apply (zenon_L65_); trivial.
% 42.92/43.12 apply (zenon_L80_); trivial.
% 42.92/43.12 (* end of lemma zenon_L81_ *)
% 42.92/43.12 assert (zenon_L82_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H100 zenon_He9 zenon_H155 zenon_Hfa zenon_H159 zenon_H8d zenon_H130 zenon_H11f zenon_H2f zenon_H30 zenon_H125 zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_H12c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 42.92/43.12 apply (zenon_L77_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 42.92/43.12 apply (zenon_L52_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 42.92/43.12 apply (zenon_L78_); trivial.
% 42.92/43.12 apply (zenon_L81_); trivial.
% 42.92/43.12 (* end of lemma zenon_L82_ *)
% 42.92/43.12 assert (zenon_L83_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H100 zenon_H155 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Heb zenon_H30 zenon_H2f zenon_Hc0 zenon_Hd5 zenon_H6a zenon_H5e zenon_H5a zenon_H4c zenon_Hc9 zenon_Hd9 zenon_H95 zenon_H8d zenon_Hdd zenon_He9 zenon_H2d zenon_H65 zenon_He4 zenon_H41.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 42.92/43.12 apply (zenon_L77_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 42.92/43.12 apply (zenon_L52_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 42.92/43.12 exact (zenon_H101 zenon_H104).
% 42.92/43.12 apply (zenon_L53_); trivial.
% 42.92/43.12 (* end of lemma zenon_L83_ *)
% 42.92/43.12 assert (zenon_L84_ : ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_H155 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_He4 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.12 apply (zenon_L17_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.12 apply (zenon_L18_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 42.92/43.12 apply (zenon_L83_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 42.92/43.12 apply (zenon_L55_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 42.92/43.12 apply (zenon_L56_); trivial.
% 42.92/43.12 apply (zenon_L25_); trivial.
% 42.92/43.12 apply (zenon_L14_); trivial.
% 42.92/43.12 (* end of lemma zenon_L84_ *)
% 42.92/43.12 assert (zenon_L85_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H10d zenon_H12c zenon_H82 zenon_Hba zenon_H131 zenon_H125 zenon_H11f zenon_H130 zenon_H159 zenon_H9d zenon_H92 zenon_H8c zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_H155 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.12 apply (zenon_L82_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.12 apply (zenon_L17_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.12 apply (zenon_L30_); trivial.
% 42.92/43.12 apply (zenon_L84_); trivial.
% 42.92/43.12 (* end of lemma zenon_L85_ *)
% 42.92/43.12 assert (zenon_L86_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H8c zenon_H15b zenon_H2d zenon_H41 zenon_H9d.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H87 | zenon_intro zenon_Ha2 ].
% 42.92/43.12 apply (zenon_L25_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8e | zenon_intro zenon_Ha3 ].
% 42.92/43.12 apply (zenon_L26_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H93 | zenon_intro zenon_H9c ].
% 42.92/43.12 exact (zenon_H15b zenon_H93).
% 42.92/43.12 apply (zenon_L29_); trivial.
% 42.92/43.12 (* end of lemma zenon_L86_ *)
% 42.92/43.12 assert (zenon_L87_ : (((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H15c zenon_H141 zenon_H86 zenon_H30 zenon_H2d zenon_H8c zenon_H8d zenon_H9d zenon_H41 zenon_Ha1.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H168. zenon_intro zenon_H167.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H16a. zenon_intro zenon_H169.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H15b | zenon_intro zenon_H140 ].
% 42.92/43.12 apply (zenon_L86_); trivial.
% 42.92/43.12 apply (zenon_L72_); trivial.
% 42.92/43.12 (* end of lemma zenon_L87_ *)
% 42.92/43.12 assert (zenon_L88_ : (((op2 (e20) (e21)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\(((op2 (e22) (e22)) = (e21))/\(~((op2 (e22) (e21)) = (e22)))))) -> ((((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))))))))))\/((((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))))))))))\/(((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H16b zenon_H16c zenon_H50 zenon_H37 zenon_H6e zenon_H10d zenon_H5e zenon_H10a zenon_H106 zenon_Hf6 zenon_Hba zenon_H43 zenon_Heb zenon_He9 zenon_Hdd zenon_Hc9 zenon_H6a zenon_H4c zenon_Hd5 zenon_H2f zenon_Hd9 zenon_Hef zenon_Hf3 zenon_Haa zenon_Ha4 zenon_Hfa zenon_H100 zenon_H95 zenon_H5a zenon_H82 zenon_H53 zenon_H16d zenon_H130 zenon_H12c zenon_H131 zenon_H125 zenon_H11f zenon_H16e zenon_H152 zenon_H150 zenon_H147 zenon_H13c zenon_H145 zenon_H119 zenon_H113 zenon_H159 zenon_H16f zenon_H141 zenon_H86 zenon_H30 zenon_H2d zenon_H8c zenon_H9d zenon_H41 zenon_Ha1.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H22. zenon_intro zenon_H170.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H24. zenon_intro zenon_H171.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H8d. zenon_intro zenon_H146.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 42.92/43.12 apply (zenon_L21_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 42.92/43.12 apply (zenon_L22_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H176. zenon_intro zenon_H175.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H92. zenon_intro zenon_H17b.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17d. zenon_intro zenon_H17c.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H17f. zenon_intro zenon_H17e.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H181. zenon_intro zenon_H180.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H101 | zenon_intro zenon_H104 ].
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H132 | zenon_intro zenon_Hee ].
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 42.92/43.12 apply (zenon_L58_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 42.92/43.12 apply (zenon_L59_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 42.92/43.12 apply (zenon_L58_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 42.92/43.12 apply (zenon_L60_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 42.92/43.12 apply (zenon_L63_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.12 apply (zenon_L68_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.12 apply (zenon_L17_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.12 apply (zenon_L30_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H83 | zenon_intro zenon_H186 ].
% 42.92/43.12 apply (zenon_L68_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H139 | zenon_intro zenon_H187 ].
% 42.92/43.12 apply (zenon_L73_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H14d | zenon_intro zenon_H129 ].
% 42.92/43.12 apply (zenon_L74_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.12 apply (zenon_L17_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.12 apply (zenon_L18_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 42.92/43.12 apply (zenon_L76_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 42.92/43.12 apply (zenon_L55_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 42.92/43.12 apply (zenon_L56_); trivial.
% 42.92/43.12 apply (zenon_L25_); trivial.
% 42.92/43.12 apply (zenon_L14_); trivial.
% 42.92/43.12 apply (zenon_L85_); trivial.
% 42.92/43.12 apply (zenon_L62_); trivial.
% 42.92/43.12 apply (zenon_L78_); trivial.
% 42.92/43.12 apply (zenon_L87_); trivial.
% 42.92/43.12 (* end of lemma zenon_L88_ *)
% 42.92/43.12 assert (zenon_L89_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H188 zenon_H3a zenon_H2f.
% 42.92/43.12 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H189 | zenon_intro zenon_H18a ].
% 42.92/43.12 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H2f.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H189.
% 42.92/43.12 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 42.92/43.12 cut (((op2 (e23) (e23)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H18b].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (e23) (e23)) = (op2 (e23) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H18b.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H188.
% 42.92/43.12 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b].
% 42.92/43.12 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 42.92/43.12 congruence.
% 42.92/43.12 apply zenon_H18a. apply refl_equal.
% 42.92/43.12 apply zenon_H3b. apply sym_equal. exact zenon_H3a.
% 42.92/43.12 apply zenon_H18a. apply refl_equal.
% 42.92/43.12 apply zenon_H18a. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L89_ *)
% 42.92/43.12 assert (zenon_L90_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e23) (e21)) = (e23))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H50 zenon_H2d zenon_H30 zenon_H2f zenon_H188 zenon_H43 zenon_H41 zenon_H4f.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H31 | zenon_intro zenon_H51 ].
% 42.92/43.12 apply (zenon_L8_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H3a | zenon_intro zenon_H52 ].
% 42.92/43.12 apply (zenon_L89_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H42 | zenon_intro zenon_H4b ].
% 42.92/43.12 apply (zenon_L11_); trivial.
% 42.92/43.12 exact (zenon_H4f zenon_H4b).
% 42.92/43.12 (* end of lemma zenon_L90_ *)
% 42.92/43.12 assert (zenon_L91_ : (((op2 (e20) (e21)) = (e20))/\((~((op2 (e20) (e20)) = (e21)))/\(((op2 (e23) (e23)) = (e21))/\(~((op2 (e23) (e21)) = (e23)))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H18c zenon_H50 zenon_H2d zenon_H30 zenon_H2f zenon_H43 zenon_H41.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H22. zenon_intro zenon_H18d.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H24. zenon_intro zenon_H18e.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H188. zenon_intro zenon_H4f.
% 42.92/43.12 apply (zenon_L90_); trivial.
% 42.92/43.12 (* end of lemma zenon_L91_ *)
% 42.92/43.12 assert (zenon_L92_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e20) (e20)) = (e22))/\(~((op2 (e20) (e22)) = (e20)))))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H18f.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Hc8. zenon_intro zenon_H190.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_H85. zenon_intro zenon_H191.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H84. zenon_intro zenon_Hcc.
% 42.92/43.12 exact (zenon_Hcc zenon_Hc8).
% 42.92/43.12 (* end of lemma zenon_L92_ *)
% 42.92/43.12 assert (zenon_L93_ : (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_Hba zenon_H54 zenon_Hc8 zenon_Hb8.
% 42.92/43.12 cut (((op2 (e20) (op2 (e20) (e22))) = (e22)) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_Hba.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H54.
% 42.92/43.12 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 42.92/43.12 cut (((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbd ].
% 42.92/43.12 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e20) (op2 (e20) (e22))) = (op2 (e20) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H192.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Hbc.
% 42.92/43.12 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 42.92/43.12 cut (((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H193].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 42.92/43.12 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.12 congruence.
% 42.92/43.12 apply zenon_H36. apply refl_equal.
% 42.92/43.12 apply zenon_Hcb. apply sym_equal. exact zenon_Hc8.
% 42.92/43.12 apply zenon_Hbd. apply refl_equal.
% 42.92/43.12 apply zenon_Hbd. apply refl_equal.
% 42.92/43.12 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 42.92/43.12 (* end of lemma zenon_L93_ *)
% 42.92/43.12 assert (zenon_L94_ : ((op2 (e22) (e22)) = (e20)) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H105 zenon_Hc8 zenon_H95.
% 42.92/43.12 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H90 ].
% 42.92/43.12 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H95.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H96.
% 42.92/43.12 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.12 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((op2 (e22) (e22)) = (e20)) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H97.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H105.
% 42.92/43.12 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 42.92/43.12 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.12 congruence.
% 42.92/43.12 apply zenon_H90. apply refl_equal.
% 42.92/43.12 apply zenon_Hcb. apply sym_equal. exact zenon_Hc8.
% 42.92/43.12 apply zenon_H90. apply refl_equal.
% 42.92/43.12 apply zenon_H90. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L94_ *)
% 42.92/43.12 assert (zenon_L95_ : (((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))))))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H6d zenon_H95 zenon_H85 zenon_H113 zenon_H41 zenon_Hba zenon_Hc8 zenon_H16d.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H195. zenon_intro zenon_H194.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196.
% 42.92/43.12 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H11e | zenon_intro zenon_H105 ].
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 42.92/43.12 exact (zenon_H85 zenon_H84).
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 42.92/43.12 apply (zenon_L60_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 42.92/43.12 exact (zenon_H11e zenon_H11a).
% 42.92/43.12 apply (zenon_L93_); trivial.
% 42.92/43.12 apply (zenon_L94_); trivial.
% 42.92/43.12 (* end of lemma zenon_L95_ *)
% 42.92/43.12 assert (zenon_L96_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H19a zenon_H19b zenon_H19c.
% 42.92/43.12 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H19a.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H19b.
% 42.92/43.12 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 42.92/43.12 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 42.92/43.12 congruence.
% 42.92/43.12 apply zenon_H117. apply refl_equal.
% 42.92/43.12 apply zenon_H19d. apply sym_equal. exact zenon_H19c.
% 42.92/43.12 (* end of lemma zenon_L96_ *)
% 42.92/43.12 assert (zenon_L97_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_Hf3 zenon_H11a zenon_H119 zenon_H43 zenon_H41 zenon_H137 zenon_H82 zenon_Hbf zenon_Hef.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.12 apply (zenon_L69_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.12 apply (zenon_L11_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.12 apply (zenon_L79_); trivial.
% 42.92/43.12 apply (zenon_L49_); trivial.
% 42.92/43.12 (* end of lemma zenon_L97_ *)
% 42.92/43.12 assert (zenon_L98_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e22) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H19e zenon_Hd4 zenon_H30 zenon_H19b zenon_H19a zenon_Hef zenon_Hbf zenon_H82 zenon_H137 zenon_H43 zenon_H119 zenon_Hf3 zenon_Hd5 zenon_H2d zenon_H41.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H19f ].
% 42.92/43.12 apply (zenon_L42_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H19c | zenon_intro zenon_H1a0 ].
% 42.92/43.12 apply (zenon_L96_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H11a | zenon_intro zenon_H14d ].
% 42.92/43.12 apply (zenon_L97_); trivial.
% 42.92/43.12 apply (zenon_L74_); trivial.
% 42.92/43.12 (* end of lemma zenon_L98_ *)
% 42.92/43.12 assert (zenon_L99_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e21)) = (e23))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((e20) = (e23))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H125 zenon_H131 zenon_H83 zenon_Hba zenon_H4f zenon_H41 zenon_H2d zenon_Hd5 zenon_Hf3 zenon_H119 zenon_H43 zenon_H82 zenon_Hef zenon_H19a zenon_H19b zenon_H30 zenon_Hd4 zenon_H19e zenon_H12c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 42.92/43.12 apply (zenon_L64_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 42.92/43.12 apply (zenon_L8_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 42.92/43.12 apply (zenon_L65_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 42.92/43.12 apply (zenon_L66_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 42.92/43.12 exact (zenon_H4f zenon_H4b).
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 42.92/43.12 apply (zenon_L98_); trivial.
% 42.92/43.12 apply (zenon_L67_); trivial.
% 42.92/43.12 (* end of lemma zenon_L99_ *)
% 42.92/43.12 assert (zenon_L100_ : (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H5e zenon_H7e zenon_H1a1 zenon_H65.
% 42.92/43.12 cut (((op2 (e21) (op2 (e21) (e23))) = (e23)) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H5e.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H7e.
% 42.92/43.12 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 42.92/43.12 cut (((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H61 | zenon_intro zenon_H45 ].
% 42.92/43.12 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H1a2.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H61.
% 42.92/43.12 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.92/43.12 cut (((op2 (e21) (e21)) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1a3].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 42.92/43.12 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.12 congruence.
% 42.92/43.12 apply zenon_H48. apply refl_equal.
% 42.92/43.12 apply zenon_H1a4. apply sym_equal. exact zenon_H1a1.
% 42.92/43.12 apply zenon_H45. apply refl_equal.
% 42.92/43.12 apply zenon_H45. apply refl_equal.
% 42.92/43.12 apply zenon_H66. apply sym_equal. exact zenon_H65.
% 42.92/43.12 (* end of lemma zenon_L100_ *)
% 42.92/43.12 assert (zenon_L101_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H6a zenon_H5a zenon_H1a1 zenon_H7e zenon_H5e zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.12 apply (zenon_L17_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.12 apply (zenon_L18_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.12 apply (zenon_L100_); trivial.
% 42.92/43.12 apply (zenon_L14_); trivial.
% 42.92/43.12 (* end of lemma zenon_L101_ *)
% 42.92/43.12 assert (zenon_L102_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e22) (e21)) = (e20)) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((op2 (e21) (e22)) = (e21))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H1a5 zenon_H12c zenon_H19e zenon_Hd4 zenon_H30 zenon_H19a zenon_Hef zenon_H82 zenon_H43 zenon_H119 zenon_Hf3 zenon_Hd5 zenon_H4f zenon_Hba zenon_H83 zenon_H131 zenon_H125 zenon_H2f zenon_H11f zenon_H130 zenon_H2a zenon_H1a6 zenon_H6a zenon_H5a zenon_H7e zenon_H5e zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H19b | zenon_intro zenon_H1a7 ].
% 42.92/43.12 apply (zenon_L99_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H2b | zenon_intro zenon_H1a8 ].
% 42.92/43.12 exact (zenon_H2a zenon_H2b).
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1a1 ].
% 42.92/43.12 exact (zenon_H1a6 zenon_H1a9).
% 42.92/43.12 apply (zenon_L101_); trivial.
% 42.92/43.12 (* end of lemma zenon_L102_ *)
% 42.92/43.12 assert (zenon_L103_ : ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_Hc8 zenon_H94 zenon_H12c.
% 42.92/43.12 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H12d | zenon_intro zenon_H81 ].
% 42.92/43.12 cut (((e23) = (e23)) = ((e20) = (e23))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H12c.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H12d.
% 42.92/43.12 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 42.92/43.12 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12e].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((op2 (e20) (e22)) = (e20)) = ((e23) = (e20))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H12e.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Hc8.
% 42.92/43.12 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.12 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hea].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_Hea zenon_H94).
% 42.92/43.12 apply zenon_H36. apply refl_equal.
% 42.92/43.12 apply zenon_H81. apply refl_equal.
% 42.92/43.12 apply zenon_H81. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L103_ *)
% 42.92/43.12 assert (zenon_L104_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H41 zenon_H1aa zenon_H1ab.
% 42.92/43.12 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (e21)) = (op2 (e21) (e23)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H1ab.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Had.
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e21) (e23)) = (op2 (e21) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H1ac.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H41.
% 42.92/43.12 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.92/43.12 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1ad].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e22) = (op2 (e21) (e23)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H1ad.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Had.
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 42.92/43.12 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H1ae zenon_H1aa).
% 42.92/43.12 apply zenon_Hae. apply refl_equal.
% 42.92/43.12 apply zenon_Hae. apply refl_equal.
% 42.92/43.12 apply zenon_H45. apply refl_equal.
% 42.92/43.12 apply zenon_Hae. apply refl_equal.
% 42.92/43.12 apply zenon_Hae. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L104_ *)
% 42.92/43.12 assert (zenon_L105_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H1af zenon_H2d zenon_H30 zenon_Haa zenon_H65 zenon_H5e zenon_H1ab zenon_H41 zenon_H7e zenon_He4 zenon_H1b0.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b1 ].
% 42.92/43.12 apply (zenon_L32_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1b2 ].
% 42.92/43.12 apply (zenon_L100_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b3 ].
% 42.92/43.12 apply (zenon_L104_); trivial.
% 42.92/43.12 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H1b0.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Had.
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b4].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((op2 (e21) (op2 (e21) (e23))) = (e23)) = ((op2 (e21) (e23)) = (op2 (e20) (e23)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H1b4.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H7e.
% 42.92/43.12 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 42.92/43.12 cut (((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (op2 (e21) (e23))) = (op2 (e21) (e23)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H1b5.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_Had.
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 42.92/43.12 cut (((op2 (e21) (e23)) = (op2 (e21) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 42.92/43.12 congruence.
% 42.92/43.12 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 42.92/43.12 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.12 congruence.
% 42.92/43.12 apply zenon_H48. apply refl_equal.
% 42.92/43.12 apply zenon_H1b7. apply sym_equal. exact zenon_H1b3.
% 42.92/43.12 apply zenon_Hae. apply refl_equal.
% 42.92/43.12 apply zenon_Hae. apply refl_equal.
% 42.92/43.12 apply zenon_He5. apply sym_equal. exact zenon_He4.
% 42.92/43.12 apply zenon_Hae. apply refl_equal.
% 42.92/43.12 apply zenon_Hae. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L105_ *)
% 42.92/43.12 assert (zenon_L106_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H6a zenon_H5a zenon_H1b0 zenon_He4 zenon_H7e zenon_H1ab zenon_H5e zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.12 apply (zenon_L17_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.12 apply (zenon_L18_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.12 apply (zenon_L105_); trivial.
% 42.92/43.12 apply (zenon_L14_); trivial.
% 42.92/43.12 (* end of lemma zenon_L106_ *)
% 42.92/43.12 assert (zenon_L107_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H50 zenon_H30 zenon_H2f zenon_H188 zenon_H43 zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H31 | zenon_intro zenon_H51 ].
% 42.92/43.12 apply (zenon_L8_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H3a | zenon_intro zenon_H52 ].
% 42.92/43.12 apply (zenon_L89_); trivial.
% 42.92/43.12 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H42 | zenon_intro zenon_H4b ].
% 42.92/43.12 apply (zenon_L11_); trivial.
% 42.92/43.12 apply (zenon_L14_); trivial.
% 42.92/43.12 (* end of lemma zenon_L107_ *)
% 42.92/43.12 assert (zenon_L108_ : (~((op2 (op2 (e21) (e21)) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H1b8 zenon_H2b.
% 42.92/43.12 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.12 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H2a zenon_H2b).
% 42.92/43.12 apply zenon_H48. apply refl_equal.
% 42.92/43.12 (* end of lemma zenon_L108_ *)
% 42.92/43.12 assert (zenon_L109_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e21) (e21)) = (e21)) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H53 zenon_H2d zenon_H5b zenon_H2b.
% 42.92/43.12 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H53.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H2d.
% 42.92/43.12 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 42.92/43.12 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 42.92/43.12 congruence.
% 42.92/43.12 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 42.92/43.12 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e23) = (op2 (e20) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H5c.
% 42.92/43.12 rewrite <- zenon_D_pnotp.
% 42.92/43.12 exact zenon_H3d.
% 42.92/43.12 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 42.92/43.12 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 42.92/43.12 congruence.
% 42.92/43.12 exact (zenon_H5d zenon_H5b).
% 42.92/43.12 apply zenon_H3e. apply refl_equal.
% 42.92/43.12 apply zenon_H3e. apply refl_equal.
% 42.92/43.12 apply (zenon_L108_); trivial.
% 42.92/43.12 (* end of lemma zenon_L109_ *)
% 42.92/43.12 assert (zenon_L110_ : ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False).
% 42.92/43.12 do 0 intro. intros zenon_H2d zenon_H65 zenon_H2b zenon_H5e.
% 42.92/43.12 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd1 ].
% 42.92/43.12 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 42.92/43.12 intro zenon_D_pnotp.
% 42.92/43.12 apply zenon_H5e.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_Hd0.
% 42.92/43.13 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.92/43.13 cut (((op2 (e22) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1b9].
% 42.92/43.13 congruence.
% 42.92/43.13 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e21)) = (op2 (e21) (e21)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1b9.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H2d.
% 42.92/43.13 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 42.92/43.13 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 42.92/43.13 congruence.
% 42.92/43.13 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd1 ].
% 42.92/43.13 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e23) = (op2 (e22) (e21)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H66.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_Hd0.
% 42.92/43.13 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.92/43.13 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hd3].
% 42.92/43.13 congruence.
% 42.92/43.13 exact (zenon_Hd3 zenon_H65).
% 42.92/43.13 apply zenon_Hd1. apply refl_equal.
% 42.92/43.13 apply zenon_Hd1. apply refl_equal.
% 42.92/43.13 apply (zenon_L108_); trivial.
% 42.92/43.13 apply zenon_Hd1. apply refl_equal.
% 42.92/43.13 apply zenon_Hd1. apply refl_equal.
% 42.92/43.13 (* end of lemma zenon_L110_ *)
% 42.92/43.13 assert (zenon_L111_ : ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H2d zenon_H4b zenon_H2b zenon_H43.
% 42.92/43.13 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 42.92/43.13 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H43.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H33.
% 42.92/43.13 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 42.92/43.13 cut (((op2 (e23) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 42.92/43.13 congruence.
% 42.92/43.13 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e23) (e21)) = (op2 (e21) (e21)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H44.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H2d.
% 42.92/43.13 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1b8].
% 42.92/43.13 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 42.92/43.13 congruence.
% 42.92/43.13 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 42.92/43.13 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e23) = (op2 (e23) (e21)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H4e.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H33.
% 42.92/43.13 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H34].
% 42.92/43.13 cut (((op2 (e23) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 42.92/43.13 congruence.
% 42.92/43.13 exact (zenon_H4f zenon_H4b).
% 42.92/43.13 apply zenon_H34. apply refl_equal.
% 42.92/43.13 apply zenon_H34. apply refl_equal.
% 42.92/43.13 apply (zenon_L108_); trivial.
% 42.92/43.13 apply zenon_H34. apply refl_equal.
% 42.92/43.13 apply zenon_H34. apply refl_equal.
% 42.92/43.13 (* end of lemma zenon_L111_ *)
% 42.92/43.13 assert (zenon_L112_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H6a zenon_H53 zenon_H41 zenon_H5e zenon_H2d zenon_H2b zenon_H43.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.13 apply (zenon_L109_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.13 apply (zenon_L18_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.13 apply (zenon_L110_); trivial.
% 42.92/43.13 apply (zenon_L111_); trivial.
% 42.92/43.13 (* end of lemma zenon_L112_ *)
% 42.92/43.13 assert (zenon_L113_ : (~((e21) = (e23))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e20) (e20)) = (e21)) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1ba zenon_H83 zenon_H26.
% 42.92/43.13 cut (((op2 (e20) (e20)) = (e23)) = ((e21) = (e23))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1ba.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H83.
% 42.92/43.13 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 42.92/43.13 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H24].
% 42.92/43.13 congruence.
% 42.92/43.13 exact (zenon_H24 zenon_H26).
% 42.92/43.13 apply zenon_H81. apply refl_equal.
% 42.92/43.13 (* end of lemma zenon_L113_ *)
% 42.92/43.13 assert (zenon_L114_ : (((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))))))))) -> (~((op2 (e20) (e20)) = (e22))) -> ((op2 (e20) (e22)) = (e20)) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H174 zenon_H85 zenon_Hc8.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H176. zenon_intro zenon_H175.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H92. zenon_intro zenon_H17b.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17d. zenon_intro zenon_H17c.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_Hcc | zenon_intro zenon_H84 ].
% 42.92/43.13 exact (zenon_Hcc zenon_Hc8).
% 42.92/43.13 exact (zenon_H85 zenon_H84).
% 42.92/43.13 (* end of lemma zenon_L114_ *)
% 42.92/43.13 assert (zenon_L115_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1bb zenon_H164 zenon_Hbf zenon_H137.
% 42.92/43.13 cut (((op2 (e23) (op2 (e23) (e23))) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1bb.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H164.
% 42.92/43.13 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 42.92/43.13 cut (((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 42.92/43.13 congruence.
% 42.92/43.13 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ].
% 42.92/43.13 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (op2 (e23) (e23))) = (op2 (e23) (e20)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1bd.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H122.
% 42.92/43.13 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 42.92/43.13 cut (((op2 (e23) (e20)) = (op2 (e23) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H1be].
% 42.92/43.13 congruence.
% 42.92/43.13 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 42.92/43.13 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 42.92/43.13 congruence.
% 42.92/43.13 apply zenon_H81. apply refl_equal.
% 42.92/43.13 apply zenon_H1bf. apply sym_equal. exact zenon_Hbf.
% 42.92/43.13 apply zenon_H123. apply refl_equal.
% 42.92/43.13 apply zenon_H123. apply refl_equal.
% 42.92/43.13 apply zenon_H1bc. apply sym_equal. exact zenon_H137.
% 42.92/43.13 (* end of lemma zenon_L115_ *)
% 42.92/43.13 assert (zenon_L116_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e23)) = (e23))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H30 zenon_H125 zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H41 zenon_H2d zenon_H164 zenon_H1bb zenon_H12f.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 42.92/43.13 apply (zenon_L64_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 42.92/43.13 apply (zenon_L8_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 42.92/43.13 apply (zenon_L65_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 42.92/43.13 apply (zenon_L66_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 42.92/43.13 apply (zenon_L14_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 42.92/43.13 apply (zenon_L115_); trivial.
% 42.92/43.13 exact (zenon_H12f zenon_H12b).
% 42.92/43.13 (* end of lemma zenon_L116_ *)
% 42.92/43.13 assert (zenon_L117_ : ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H2d zenon_H1b3 zenon_H65 zenon_He4 zenon_H41 zenon_H1b0.
% 42.92/43.13 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 42.92/43.13 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1b0.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_Had.
% 42.92/43.13 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 42.92/43.13 cut (((op2 (e21) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b4].
% 42.92/43.13 congruence.
% 42.92/43.13 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e21) (e23)) = (op2 (e20) (e23)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1b4.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H2d.
% 42.92/43.13 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 42.92/43.13 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 42.92/43.13 congruence.
% 42.92/43.13 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 42.92/43.13 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e23) = (op2 (e21) (e23)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1b7.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_Had.
% 42.92/43.13 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 42.92/43.13 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 42.92/43.13 congruence.
% 42.92/43.13 exact (zenon_H1c0 zenon_H1b3).
% 42.92/43.13 apply zenon_Hae. apply refl_equal.
% 42.92/43.13 apply zenon_Hae. apply refl_equal.
% 42.92/43.13 apply (zenon_L46_); trivial.
% 42.92/43.13 apply zenon_Hae. apply refl_equal.
% 42.92/43.13 apply zenon_Hae. apply refl_equal.
% 42.92/43.13 (* end of lemma zenon_L117_ *)
% 42.92/43.13 assert (zenon_L118_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1af zenon_H30 zenon_Haa zenon_H1c1 zenon_H1ab zenon_H2d zenon_H65 zenon_He4 zenon_H41 zenon_H1b0.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b1 ].
% 42.92/43.13 apply (zenon_L32_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1b2 ].
% 42.92/43.13 exact (zenon_H1c1 zenon_H1a1).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b3 ].
% 42.92/43.13 apply (zenon_L104_); trivial.
% 42.92/43.13 apply (zenon_L117_); trivial.
% 42.92/43.13 (* end of lemma zenon_L118_ *)
% 42.92/43.13 assert (zenon_L119_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H6a zenon_H5a zenon_H5e zenon_H1b0 zenon_He4 zenon_H1ab zenon_H1c1 zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.13 apply (zenon_L17_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.13 apply (zenon_L18_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.13 apply (zenon_L118_); trivial.
% 42.92/43.13 apply (zenon_L14_); trivial.
% 42.92/43.13 (* end of lemma zenon_L119_ *)
% 42.92/43.13 assert (zenon_L120_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> (~((e20) = (e23))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_Hf6 zenon_Ha9 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_H12b zenon_H12c.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hf7 ].
% 42.92/43.13 exact (zenon_Ha9 zenon_Ha5).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf8 ].
% 42.92/43.13 apply (zenon_L32_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbf ].
% 42.92/43.13 apply (zenon_L25_); trivial.
% 42.92/43.13 apply (zenon_L67_); trivial.
% 42.92/43.13 (* end of lemma zenon_L120_ *)
% 42.92/43.13 assert (zenon_L121_ : (((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H15c zenon_H86 zenon_Hf6 zenon_H130 zenon_Hba zenon_H4c zenon_H41 zenon_H1bb zenon_H131 zenon_H125 zenon_H2f zenon_H2d zenon_H30 zenon_H11f zenon_H5a zenon_H12c zenon_Hc8 zenon_H6a zenon_Haa zenon_H1ab zenon_H1b0 zenon_H1af zenon_H5e zenon_H10d.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H168. zenon_intro zenon_H167.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H16a. zenon_intro zenon_H169.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H83 ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H5f ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H12f | zenon_intro zenon_H12b ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.13 apply (zenon_L116_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.13 apply (zenon_L17_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.13 apply (zenon_L103_); trivial.
% 42.92/43.13 apply (zenon_L119_); trivial.
% 42.92/43.13 apply (zenon_L120_); trivial.
% 42.92/43.13 apply (zenon_L18_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H12f | zenon_intro zenon_H12b ].
% 42.92/43.13 apply (zenon_L116_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 42.92/43.13 apply (zenon_L64_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 42.92/43.13 apply (zenon_L8_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 42.92/43.13 apply (zenon_L65_); trivial.
% 42.92/43.13 apply (zenon_L67_); trivial.
% 42.92/43.13 (* end of lemma zenon_L121_ *)
% 42.92/43.13 assert (zenon_L122_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> ((((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))))))))))\/((((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))))))))))\/(((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1c2 zenon_H16c zenon_H16d zenon_H113 zenon_H95 zenon_H53 zenon_H1a5 zenon_Hd5 zenon_H19a zenon_Hf3 zenon_Hef zenon_H82 zenon_H43 zenon_H119 zenon_H19e zenon_Hd9 zenon_H50 zenon_H1ba zenon_H86 zenon_Hf6 zenon_H130 zenon_Hba zenon_H4c zenon_H41 zenon_H1bb zenon_H131 zenon_H125 zenon_H2f zenon_H2d zenon_H30 zenon_H11f zenon_H5a zenon_H12c zenon_H6a zenon_Haa zenon_H1ab zenon_H1b0 zenon_H1af zenon_H5e zenon_H10d.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_Hc8. zenon_intro zenon_H1c3.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H85. zenon_intro zenon_H1c4.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 42.92/43.13 apply (zenon_L95_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H1c7. zenon_intro zenon_H1c6.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1c9. zenon_intro zenon_H1c8.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H2a | zenon_intro zenon_H2b ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H4f | zenon_intro zenon_H188 ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H22 | zenon_intro zenon_Hda ].
% 42.92/43.13 exact (zenon_H25 zenon_H22).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ].
% 42.92/43.13 apply (zenon_L41_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H31 ].
% 42.92/43.13 apply (zenon_L102_); trivial.
% 42.92/43.13 apply (zenon_L8_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.13 apply (zenon_L17_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.13 apply (zenon_L103_); trivial.
% 42.92/43.13 apply (zenon_L106_); trivial.
% 42.92/43.13 apply (zenon_L107_); trivial.
% 42.92/43.13 apply (zenon_L112_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.13 apply (zenon_L113_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.13 apply (zenon_L17_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.13 apply (zenon_L103_); trivial.
% 42.92/43.13 apply (zenon_L106_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 42.92/43.13 apply (zenon_L114_); trivial.
% 42.92/43.13 apply (zenon_L121_); trivial.
% 42.92/43.13 (* end of lemma zenon_L122_ *)
% 42.92/43.13 assert (zenon_L123_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e22) (e22)) = (e22))/\(~((op2 (e22) (e22)) = (e22)))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1ca.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1ca). zenon_intro zenon_Hc8. zenon_intro zenon_H1cb.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1cb). zenon_intro zenon_H85. zenon_intro zenon_H1cc.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H104. zenon_intro zenon_H101.
% 42.92/43.13 exact (zenon_H101 zenon_H104).
% 42.92/43.13 (* end of lemma zenon_L123_ *)
% 42.92/43.13 assert (zenon_L124_ : (((op2 (e20) (e22)) = (e20))/\((~((op2 (e20) (e20)) = (e22)))/\(((op2 (e23) (e23)) = (e22))/\(~((op2 (e23) (e22)) = (e23)))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1cd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_Hef.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1cd). zenon_intro zenon_Hc8. zenon_intro zenon_H1ce.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1ce). zenon_intro zenon_H85. zenon_intro zenon_H1cf.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_Hee. zenon_intro zenon_H132.
% 42.92/43.13 apply (zenon_L62_); trivial.
% 42.92/43.13 (* end of lemma zenon_L124_ *)
% 42.92/43.13 assert (zenon_L125_ : (((op2 (e20) (e23)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\(((op2 (e20) (e20)) = (e23))/\(~((op2 (e20) (e23)) = (e20)))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1d0.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1d0). zenon_intro zenon_Ha5. zenon_intro zenon_H1d1.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1d1). zenon_intro zenon_H1d3. zenon_intro zenon_H1d2.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H83. zenon_intro zenon_Ha9.
% 42.92/43.13 exact (zenon_Ha9 zenon_Ha5).
% 42.92/43.13 (* end of lemma zenon_L125_ *)
% 42.92/43.13 assert (zenon_L126_ : (((op2 (e20) (e23)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1d4 zenon_H5e zenon_H2d zenon_H41.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Ha5. zenon_intro zenon_H1d5.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1d3. zenon_intro zenon_H1d6.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H5f. zenon_intro zenon_H1c1.
% 42.92/43.13 apply (zenon_L18_); trivial.
% 42.92/43.13 (* end of lemma zenon_L126_ *)
% 42.92/43.13 assert (zenon_L127_ : (((op2 (e20) (e23)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\(((op2 (e22) (e22)) = (e23))/\(~((op2 (e22) (e23)) = (e22)))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1d7 zenon_H2d zenon_H41 zenon_H141.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_Ha5. zenon_intro zenon_H1d8.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d3. zenon_intro zenon_H1d9.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H140. zenon_intro zenon_H15b.
% 42.92/43.13 apply (zenon_L72_); trivial.
% 42.92/43.13 (* end of lemma zenon_L127_ *)
% 42.92/43.13 assert (zenon_L128_ : (((op2 (e20) (e23)) = (e20))/\((~((op2 (e20) (e20)) = (e23)))/\(((op2 (e23) (e23)) = (e23))/\(~((op2 (e23) (e23)) = (e23)))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1da.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1da). zenon_intro zenon_Ha5. zenon_intro zenon_H1db.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1db). zenon_intro zenon_H1d3. zenon_intro zenon_H1dc.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H12b. zenon_intro zenon_H12f.
% 42.92/43.13 exact (zenon_H12f zenon_H12b).
% 42.92/43.13 (* end of lemma zenon_L128_ *)
% 42.92/43.13 assert (zenon_L129_ : (((op2 (e21) (e20)) = (e21))/\((~((op2 (e21) (e21)) = (e20)))/\(((op2 (e20) (e20)) = (e20))/\(~((op2 (e20) (e20)) = (e20)))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1dd.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H19b. zenon_intro zenon_H1de.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Hcf. zenon_intro zenon_H15.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H14. zenon_intro zenon_H16.
% 42.92/43.13 exact (zenon_H16 zenon_H14).
% 42.92/43.13 (* end of lemma zenon_L129_ *)
% 42.92/43.13 assert (zenon_L130_ : (((op2 (e21) (e20)) = (e21))/\((~((op2 (e21) (e21)) = (e20)))/\(((op2 (e21) (e21)) = (e20))/\(~((op2 (e21) (e20)) = (e21)))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1df.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H19b. zenon_intro zenon_H1e0.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Hcf. zenon_intro zenon_H19.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_Hce. zenon_intro zenon_H1e1.
% 42.92/43.13 exact (zenon_H1e1 zenon_H19b).
% 42.92/43.13 (* end of lemma zenon_L130_ *)
% 42.92/43.13 assert (zenon_L131_ : ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H30 zenon_H105 zenon_Hbf zenon_Hc0 zenon_H2d zenon_H1e2.
% 42.92/43.13 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H90 ].
% 42.92/43.13 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1e2.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H96.
% 42.92/43.13 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.13 cut (((op2 (e22) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e3].
% 42.92/43.13 congruence.
% 42.92/43.13 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e22) (e22)) = (op2 (e22) (e20)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1e3.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H30.
% 42.92/43.13 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 42.92/43.13 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e4].
% 42.92/43.13 congruence.
% 42.92/43.13 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H90 ].
% 42.92/43.13 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e20) = (op2 (e22) (e22)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1e4.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H96.
% 42.92/43.13 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.13 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 42.92/43.13 congruence.
% 42.92/43.13 exact (zenon_H1e5 zenon_H105).
% 42.92/43.13 apply zenon_H90. apply refl_equal.
% 42.92/43.13 apply zenon_H90. apply refl_equal.
% 42.92/43.13 apply (zenon_L36_); trivial.
% 42.92/43.13 apply zenon_H90. apply refl_equal.
% 42.92/43.13 apply zenon_H90. apply refl_equal.
% 42.92/43.13 (* end of lemma zenon_L131_ *)
% 42.92/43.13 assert (zenon_L132_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H19e zenon_H1e2 zenon_Hbf zenon_H105 zenon_H30 zenon_H19b zenon_H19a zenon_H11e zenon_Hd5 zenon_H2d zenon_H41.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H19f ].
% 42.92/43.13 apply (zenon_L131_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H19c | zenon_intro zenon_H1a0 ].
% 42.92/43.13 apply (zenon_L96_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H11a | zenon_intro zenon_H14d ].
% 42.92/43.13 exact (zenon_H11e zenon_H11a).
% 42.92/43.13 apply (zenon_L74_); trivial.
% 42.92/43.13 (* end of lemma zenon_L132_ *)
% 42.92/43.13 assert (zenon_L133_ : (((op2 (e21) (e20)) = (e21))/\((~((op2 (e21) (e21)) = (e20)))/\(((op2 (e22) (e22)) = (e20))/\(~((op2 (e22) (e20)) = (e22)))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1e6 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_H19e zenon_H1e2 zenon_H30 zenon_H19a zenon_Hd5 zenon_H2d zenon_H41.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H19b. zenon_intro zenon_H1e7.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Hcf. zenon_intro zenon_H1c.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H105. zenon_intro zenon_H11e.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hf7 ].
% 42.92/43.13 apply (zenon_L31_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf8 ].
% 42.92/43.13 apply (zenon_L32_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbf ].
% 42.92/43.13 apply (zenon_L25_); trivial.
% 42.92/43.13 apply (zenon_L132_); trivial.
% 42.92/43.13 (* end of lemma zenon_L133_ *)
% 42.92/43.13 assert (zenon_L134_ : (((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))))))))) -> (~((op2 (e21) (e21)) = (e20))) -> ((op2 (e21) (e20)) = (e21)) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H6d zenon_Hcf zenon_H19b.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H195. zenon_intro zenon_H194.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H1e1 | zenon_intro zenon_Hce ].
% 42.92/43.13 exact (zenon_H1e1 zenon_H19b).
% 42.92/43.13 exact (zenon_Hcf zenon_Hce).
% 42.92/43.13 (* end of lemma zenon_L134_ *)
% 42.92/43.13 assert (zenon_L135_ : (~((e20) = (e23))) -> ((op2 (e20) (e20)) = (e23)) -> ((op2 (e20) (e20)) = (e20)) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H12c zenon_H83 zenon_H14.
% 42.92/43.13 cut (((op2 (e20) (e20)) = (e23)) = ((e20) = (e23))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H12c.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H83.
% 42.92/43.13 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 42.92/43.13 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 42.92/43.13 congruence.
% 42.92/43.13 exact (zenon_H16 zenon_H14).
% 42.92/43.13 apply zenon_H81. apply refl_equal.
% 42.92/43.13 (* end of lemma zenon_L135_ *)
% 42.92/43.13 assert (zenon_L136_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H137 zenon_H94 zenon_Hdd.
% 42.92/43.13 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdf ].
% 42.92/43.13 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_Hdd.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_Hde.
% 42.92/43.13 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 42.92/43.13 cut (((op2 (e23) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_He0].
% 42.92/43.13 congruence.
% 42.92/43.13 cut (((op2 (e23) (e22)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e20) (e22)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_He0.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H137.
% 42.92/43.13 cut (((e23) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 42.92/43.13 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 42.92/43.13 congruence.
% 42.92/43.13 apply zenon_Hdf. apply refl_equal.
% 42.92/43.13 apply zenon_H98. apply sym_equal. exact zenon_H94.
% 42.92/43.13 apply zenon_Hdf. apply refl_equal.
% 42.92/43.13 apply zenon_Hdf. apply refl_equal.
% 42.92/43.13 (* end of lemma zenon_L136_ *)
% 42.92/43.13 assert (zenon_L137_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H131 zenon_H1e8 zenon_H4f zenon_Hdd zenon_H94 zenon_Hbf zenon_H12c.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 42.92/43.13 exact (zenon_H1e8 zenon_H129).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 42.92/43.13 exact (zenon_H4f zenon_H4b).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 42.92/43.13 apply (zenon_L136_); trivial.
% 42.92/43.13 apply (zenon_L67_); trivial.
% 42.92/43.13 (* end of lemma zenon_L137_ *)
% 42.92/43.13 assert (zenon_L138_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e21) (e20)) = (e20)) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H19a zenon_H30 zenon_H1e9 zenon_Hbf zenon_Hc0 zenon_H2d.
% 42.92/43.13 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H19a.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H30.
% 42.92/43.13 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 42.92/43.13 cut (((e20) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ea].
% 42.92/43.13 congruence.
% 42.92/43.13 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ].
% 42.92/43.13 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e20) = (op2 (e21) (e20)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1ea.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H116.
% 42.92/43.13 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 42.92/43.13 cut (((op2 (e21) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 42.92/43.13 congruence.
% 42.92/43.13 exact (zenon_H1eb zenon_H1e9).
% 42.92/43.13 apply zenon_H117. apply refl_equal.
% 42.92/43.13 apply zenon_H117. apply refl_equal.
% 42.92/43.13 apply (zenon_L36_); trivial.
% 42.92/43.13 (* end of lemma zenon_L138_ *)
% 42.92/43.13 assert (zenon_L139_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e22)) = (e22)) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H2d zenon_Hdc zenon_H82 zenon_Hbf zenon_H12c.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 42.92/43.13 exact (zenon_H1e8 zenon_H129).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 42.92/43.13 apply (zenon_L14_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 42.92/43.13 apply (zenon_L79_); trivial.
% 42.92/43.13 apply (zenon_L67_); trivial.
% 42.92/43.13 (* end of lemma zenon_L139_ *)
% 42.92/43.13 assert (zenon_L140_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e22) = (e23))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_Hf3 zenon_Hb0 zenon_H84 zenon_Hba zenon_H43 zenon_H12c zenon_Hbf zenon_H82 zenon_H41 zenon_H4c zenon_H1e8 zenon_H131 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_Hef.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.13 apply (zenon_L35_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.13 apply (zenon_L11_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.13 apply (zenon_L139_); trivial.
% 42.92/43.13 apply (zenon_L62_); trivial.
% 42.92/43.13 (* end of lemma zenon_L140_ *)
% 42.92/43.13 assert (zenon_L141_ : ((op2 (e22) (e22)) = (e20)) -> ((op2 (e22) (e22)) = (e22)) -> (~((e20) = (e22))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H105 zenon_H104 zenon_Hef.
% 42.92/43.13 elim (classic ((e22) = (e22))); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H91 ].
% 42.92/43.13 cut (((e22) = (e22)) = ((e20) = (e22))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_Hef.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_Hf0.
% 42.92/43.13 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 42.92/43.13 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 42.92/43.13 congruence.
% 42.92/43.13 cut (((op2 (e22) (e22)) = (e20)) = ((e22) = (e20))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_Hf1.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H105.
% 42.92/43.13 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.13 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 42.92/43.13 congruence.
% 42.92/43.13 exact (zenon_H101 zenon_H104).
% 42.92/43.13 apply zenon_H36. apply refl_equal.
% 42.92/43.13 apply zenon_H91. apply refl_equal.
% 42.92/43.13 apply zenon_H91. apply refl_equal.
% 42.92/43.13 (* end of lemma zenon_L141_ *)
% 42.92/43.13 assert (zenon_L142_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (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 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H100 zenon_H86 zenon_H30 zenon_Haa zenon_Ha4 zenon_Hf6 zenon_H43 zenon_Hba zenon_H84 zenon_Hf3 zenon_Hfa zenon_Hef zenon_H105 zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_Hbf zenon_H12c.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 42.92/43.13 apply (zenon_L140_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 42.92/43.13 apply (zenon_L52_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 42.92/43.13 apply (zenon_L141_); trivial.
% 42.92/43.13 apply (zenon_L139_); trivial.
% 42.92/43.13 (* end of lemma zenon_L142_ *)
% 42.92/43.13 assert (zenon_L143_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e22) = (e23))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H10a zenon_H1e9 zenon_H19a zenon_H22 zenon_H5a zenon_H12c zenon_Hbf zenon_H82 zenon_H41 zenon_H4c zenon_H1e8 zenon_H131 zenon_Hef zenon_Hfa zenon_Hf3 zenon_H84 zenon_Hba zenon_H43 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H100 zenon_H86 zenon_H30 zenon_H2d.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 42.92/43.13 apply (zenon_L138_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 42.92/43.13 apply (zenon_L55_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 42.92/43.13 apply (zenon_L142_); trivial.
% 42.92/43.13 apply (zenon_L25_); trivial.
% 42.92/43.13 (* end of lemma zenon_L143_ *)
% 42.92/43.13 assert (zenon_L144_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1ec zenon_H7c zenon_H1ed zenon_Hb8.
% 42.92/43.13 cut (((op2 (e21) (op2 (e21) (e22))) = (e22)) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1ec.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H7c.
% 42.92/43.13 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 42.92/43.13 cut (((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ee].
% 42.92/43.13 congruence.
% 42.92/43.13 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ].
% 42.92/43.13 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (op2 (e21) (e22))) = (op2 (e21) (e20)))).
% 42.92/43.13 intro zenon_D_pnotp.
% 42.92/43.13 apply zenon_H1ee.
% 42.92/43.13 rewrite <- zenon_D_pnotp.
% 42.92/43.13 exact zenon_H116.
% 42.92/43.13 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 42.92/43.13 cut (((op2 (e21) (e20)) = (op2 (e21) (op2 (e21) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H1ef].
% 42.92/43.13 congruence.
% 42.92/43.13 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1f0].
% 42.92/43.13 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.13 congruence.
% 42.92/43.13 apply zenon_H48. apply refl_equal.
% 42.92/43.13 apply zenon_H1f0. apply sym_equal. exact zenon_H1ed.
% 42.92/43.13 apply zenon_H117. apply refl_equal.
% 42.92/43.13 apply zenon_H117. apply refl_equal.
% 42.92/43.13 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 42.92/43.13 (* end of lemma zenon_L144_ *)
% 42.92/43.13 assert (zenon_L145_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_Hf3 zenon_H1ed zenon_H7c zenon_H1ec zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_H1e8 zenon_H131 zenon_Hbf zenon_Hef.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.13 apply (zenon_L144_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.13 apply (zenon_L11_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.13 apply (zenon_L139_); trivial.
% 42.92/43.13 apply (zenon_L49_); trivial.
% 42.92/43.13 (* end of lemma zenon_L145_ *)
% 42.92/43.13 assert (zenon_L146_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((e20) = (e22))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1f1 zenon_H86 zenon_H100 zenon_Ha4 zenon_Hf6 zenon_Hba zenon_H84 zenon_Hfa zenon_H5a zenon_H22 zenon_H19a zenon_H10a zenon_Hcf zenon_Hef zenon_Hbf zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H82 zenon_H12c zenon_H43 zenon_H1ec zenon_H7c zenon_Hf3 zenon_Haa zenon_H30 zenon_H2d.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f2 ].
% 42.92/43.13 apply (zenon_L143_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hce | zenon_intro zenon_H1f3 ].
% 42.92/43.13 exact (zenon_Hcf zenon_Hce).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1ed | zenon_intro zenon_Hab ].
% 42.92/43.13 apply (zenon_L145_); trivial.
% 42.92/43.13 apply (zenon_L32_); trivial.
% 42.92/43.13 (* end of lemma zenon_L146_ *)
% 42.92/43.13 assert (zenon_L147_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e23) (e21)) = (e23))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H131 zenon_H1e8 zenon_H4f zenon_H41 zenon_H2d zenon_Hd5 zenon_Hf3 zenon_H119 zenon_H43 zenon_H82 zenon_Hef zenon_H19a zenon_H19b zenon_H30 zenon_Hd4 zenon_H19e zenon_Hbf zenon_H12c.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 42.92/43.13 exact (zenon_H1e8 zenon_H129).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 42.92/43.13 exact (zenon_H4f zenon_H4b).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 42.92/43.13 apply (zenon_L98_); trivial.
% 42.92/43.13 apply (zenon_L67_); trivial.
% 42.92/43.13 (* end of lemma zenon_L147_ *)
% 42.92/43.13 assert (zenon_L148_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_Hd9 zenon_Haa zenon_H7c zenon_H1ec zenon_H4c zenon_H10a zenon_H5a zenon_Hfa zenon_H84 zenon_Hba zenon_Hf6 zenon_Ha4 zenon_H100 zenon_H86 zenon_H1f1 zenon_Hcf zenon_H12c zenon_Hbf zenon_H19e zenon_H19b zenon_H19a zenon_Hef zenon_H82 zenon_H43 zenon_H119 zenon_Hf3 zenon_Hd5 zenon_H41 zenon_H4f zenon_H1e8 zenon_H131 zenon_H2f zenon_H30 zenon_H2d.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H22 | zenon_intro zenon_Hda ].
% 42.92/43.13 apply (zenon_L146_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ].
% 42.92/43.13 exact (zenon_Hcf zenon_Hce).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H31 ].
% 42.92/43.13 apply (zenon_L147_); trivial.
% 42.92/43.13 apply (zenon_L8_); trivial.
% 42.92/43.13 (* end of lemma zenon_L148_ *)
% 42.92/43.13 assert (zenon_L149_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H19e zenon_H30 zenon_H2f zenon_Hbf zenon_H6a zenon_H5e zenon_H5a zenon_H4c zenon_Hc8 zenon_Hc9 zenon_Hd9 zenon_H19b zenon_H19a zenon_Hb0 zenon_Hb8 zenon_H119 zenon_Hd5 zenon_H2d zenon_H41.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H19f ].
% 42.92/43.13 apply (zenon_L43_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H19c | zenon_intro zenon_H1a0 ].
% 42.92/43.13 apply (zenon_L96_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H11a | zenon_intro zenon_H14d ].
% 42.92/43.13 apply (zenon_L61_); trivial.
% 42.92/43.13 apply (zenon_L74_); trivial.
% 42.92/43.13 (* end of lemma zenon_L149_ *)
% 42.92/43.13 assert (zenon_L150_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H130 zenon_H11f zenon_H125 zenon_H19e zenon_H30 zenon_H2f zenon_H6a zenon_H5e zenon_H5a zenon_H4c zenon_Hc8 zenon_Hc9 zenon_Hd9 zenon_H19b zenon_H19a zenon_Hb0 zenon_Hb8 zenon_H119 zenon_Hd5 zenon_H2d zenon_H41.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 42.92/43.13 apply (zenon_L64_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 42.92/43.13 apply (zenon_L8_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 42.92/43.13 apply (zenon_L65_); trivial.
% 42.92/43.13 apply (zenon_L149_); trivial.
% 42.92/43.13 (* end of lemma zenon_L150_ *)
% 42.92/43.13 assert (zenon_L151_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1f1 zenon_Hc0 zenon_H19a zenon_H5a zenon_H5e zenon_H6a zenon_Hef zenon_Hbf zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H82 zenon_H12c zenon_H43 zenon_H1ec zenon_H7c zenon_Hf3 zenon_Haa zenon_H30 zenon_H2d.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f2 ].
% 42.92/43.13 apply (zenon_L138_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hce | zenon_intro zenon_H1f3 ].
% 42.92/43.13 apply (zenon_L41_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1ed | zenon_intro zenon_Hab ].
% 42.92/43.13 apply (zenon_L145_); trivial.
% 42.92/43.13 apply (zenon_L32_); trivial.
% 42.92/43.13 (* end of lemma zenon_L151_ *)
% 42.92/43.13 assert (zenon_L152_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H100 zenon_He9 zenon_H155 zenon_Hfa zenon_Hef zenon_H105 zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_Hbf zenon_H12c.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 42.92/43.13 apply (zenon_L77_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 42.92/43.13 apply (zenon_L52_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 42.92/43.13 apply (zenon_L141_); trivial.
% 42.92/43.13 apply (zenon_L139_); trivial.
% 42.92/43.13 (* end of lemma zenon_L152_ *)
% 42.92/43.13 assert (zenon_L153_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e22) = (e23))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H10a zenon_Haa zenon_Hf3 zenon_H7c zenon_H1ec zenon_H43 zenon_H6a zenon_H5e zenon_H19a zenon_H1f1 zenon_H22 zenon_H5a zenon_H12c zenon_Hbf zenon_H82 zenon_H41 zenon_H4c zenon_H1e8 zenon_H131 zenon_Hef zenon_Hfa zenon_H155 zenon_He9 zenon_H100 zenon_H86 zenon_H30 zenon_H2d.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 42.92/43.13 apply (zenon_L151_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 42.92/43.13 apply (zenon_L55_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 42.92/43.13 apply (zenon_L152_); trivial.
% 42.92/43.13 apply (zenon_L25_); trivial.
% 42.92/43.13 (* end of lemma zenon_L153_ *)
% 42.92/43.13 assert (zenon_L154_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_Hd9 zenon_H86 zenon_H100 zenon_He9 zenon_H155 zenon_Hfa zenon_H4c zenon_H5a zenon_H1f1 zenon_H5e zenon_H6a zenon_H1ec zenon_H7c zenon_Haa zenon_H10a zenon_Hcf zenon_H12c zenon_Hbf zenon_H19e zenon_H19b zenon_H19a zenon_Hef zenon_H82 zenon_H43 zenon_H119 zenon_Hf3 zenon_Hd5 zenon_H41 zenon_H4f zenon_H1e8 zenon_H131 zenon_H2f zenon_H30 zenon_H2d.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H22 | zenon_intro zenon_Hda ].
% 42.92/43.13 apply (zenon_L153_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ].
% 42.92/43.13 exact (zenon_Hcf zenon_Hce).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H31 ].
% 42.92/43.13 apply (zenon_L147_); trivial.
% 42.92/43.13 apply (zenon_L8_); trivial.
% 42.92/43.13 (* end of lemma zenon_L154_ *)
% 42.92/43.13 assert (zenon_L155_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (e20))) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e20) = (e22))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e23) (e21)) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H16f zenon_H53 zenon_Hc9 zenon_Hc8 zenon_H125 zenon_H11f zenon_H130 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_H113 zenon_Hba zenon_H16d zenon_Hd9 zenon_H86 zenon_H100 zenon_He9 zenon_Hfa zenon_H4c zenon_H5a zenon_H1f1 zenon_H5e zenon_H6a zenon_H1ec zenon_H7c zenon_Haa zenon_H10a zenon_Hcf zenon_H12c zenon_Hbf zenon_H19e zenon_H19b zenon_H19a zenon_Hef zenon_H82 zenon_H43 zenon_H119 zenon_Hf3 zenon_Hd5 zenon_H41 zenon_H4f zenon_H1e8 zenon_H131 zenon_H2f zenon_H30 zenon_H2d.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 42.92/43.13 apply (zenon_L148_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 42.92/43.13 apply (zenon_L59_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 42.92/43.13 apply (zenon_L140_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 42.92/43.13 apply (zenon_L60_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 42.92/43.13 apply (zenon_L63_); trivial.
% 42.92/43.13 apply (zenon_L150_); trivial.
% 42.92/43.13 apply (zenon_L154_); trivial.
% 42.92/43.13 (* end of lemma zenon_L155_ *)
% 42.92/43.13 assert (zenon_L156_ : (((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))))))))) -> (~((e20) = (e22))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H174 zenon_Hef zenon_H1e8 zenon_H4c zenon_H2d zenon_H41 zenon_H12c zenon_Hbf zenon_H131.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H176. zenon_intro zenon_H175.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H92. zenon_intro zenon_H17b.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17d. zenon_intro zenon_H17c.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H17f. zenon_intro zenon_H17e.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H181. zenon_intro zenon_H180.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H132 | zenon_intro zenon_Hee ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 42.92/43.13 exact (zenon_H1e8 zenon_H129).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 42.92/43.13 apply (zenon_L14_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 42.92/43.13 exact (zenon_H132 zenon_H137).
% 42.92/43.13 apply (zenon_L67_); trivial.
% 42.92/43.13 apply (zenon_L49_); trivial.
% 42.92/43.13 (* end of lemma zenon_L156_ *)
% 42.92/43.13 assert (zenon_L157_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (op2 (e23) (e23))) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H2d zenon_H30 zenon_H125 zenon_H1bb zenon_H164 zenon_H137.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 42.92/43.13 apply (zenon_L64_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 42.92/43.13 apply (zenon_L8_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 42.92/43.13 apply (zenon_L65_); trivial.
% 42.92/43.13 apply (zenon_L115_); trivial.
% 42.92/43.13 (* end of lemma zenon_L157_ *)
% 42.92/43.13 assert (zenon_L158_ : (((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H15c zenon_H130 zenon_H11f zenon_H2f zenon_H2d zenon_H30 zenon_H125 zenon_H1bb zenon_H137.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 42.92/43.13 apply (zenon_L157_); trivial.
% 42.92/43.13 (* end of lemma zenon_L158_ *)
% 42.92/43.13 assert (zenon_L159_ : ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_Hbf zenon_H12c zenon_H1e8 zenon_H4c zenon_H2d zenon_H41 zenon_H15c zenon_H11f zenon_H30 zenon_H2f zenon_H125 zenon_H1bb zenon_H130 zenon_H131.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H168. zenon_intro zenon_H167.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H16a. zenon_intro zenon_H169.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H12f | zenon_intro zenon_H12b ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 42.92/43.13 exact (zenon_H1e8 zenon_H129).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 42.92/43.13 apply (zenon_L14_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 42.92/43.13 apply (zenon_L158_); trivial.
% 42.92/43.13 exact (zenon_H12f zenon_H12b).
% 42.92/43.13 apply (zenon_L67_); trivial.
% 42.92/43.13 (* end of lemma zenon_L159_ *)
% 42.92/43.13 assert (zenon_L160_ : (((op2 (e21) (e20)) = (e21))/\((~((op2 (e21) (e21)) = (e20)))/\(((op2 (e23) (e23)) = (e20))/\(~((op2 (e23) (e20)) = (e23)))))) -> ((((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))))))))))\/((((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))))))))))\/(((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e21) = (e23))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1f4 zenon_H16c zenon_H50 zenon_H10d zenon_H5e zenon_H1af zenon_H1b0 zenon_H1ab zenon_Haa zenon_H6a zenon_Hdd zenon_H5a zenon_H16f zenon_He9 zenon_H113 zenon_Hc9 zenon_H16d zenon_H53 zenon_H1f1 zenon_H1ec zenon_H19a zenon_H100 zenon_Hfa zenon_Hba zenon_H43 zenon_H82 zenon_Hf6 zenon_H86 zenon_Ha4 zenon_Hf3 zenon_H10a zenon_Hd5 zenon_H119 zenon_H19e zenon_Hd9 zenon_H1f5 zenon_H1ba zenon_Hef zenon_H12c zenon_H4c zenon_H2d zenon_H41 zenon_H11f zenon_H30 zenon_H2f zenon_H125 zenon_H1bb zenon_H130 zenon_H131.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H19b. zenon_intro zenon_H1f6.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_Hcf. zenon_intro zenon_H1f.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hbf. zenon_intro zenon_H1e8.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 42.92/43.13 apply (zenon_L134_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H1c7. zenon_intro zenon_H1c6.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1c9. zenon_intro zenon_H1c8.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H4f | zenon_intro zenon_H188 ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H14 | zenon_intro zenon_H1f7 ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.13 apply (zenon_L135_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.13 apply (zenon_L17_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.13 apply (zenon_L137_); trivial.
% 42.92/43.13 apply (zenon_L106_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H22 | zenon_intro zenon_H1f8 ].
% 42.92/43.13 exact (zenon_H25 zenon_H22).
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Ha5 ].
% 42.92/43.13 apply (zenon_L155_); trivial.
% 42.92/43.13 apply (zenon_L31_); trivial.
% 42.92/43.13 apply (zenon_L107_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H4f | zenon_intro zenon_H188 ].
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.13 apply (zenon_L113_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.13 apply (zenon_L17_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.13 apply (zenon_L137_); trivial.
% 42.92/43.13 apply (zenon_L106_); trivial.
% 42.92/43.13 apply (zenon_L107_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 42.92/43.13 apply (zenon_L156_); trivial.
% 42.92/43.13 apply (zenon_L159_); trivial.
% 42.92/43.13 (* end of lemma zenon_L160_ *)
% 42.92/43.13 assert (zenon_L161_ : (((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (e21)) = (e21)))/\(((op2 (e20) (e20)) = (e21))/\(~((op2 (e20) (e21)) = (e20)))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1f9.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_H2b. zenon_intro zenon_H1fa.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H2a. zenon_intro zenon_H23.
% 42.92/43.13 exact (zenon_H2a zenon_H2b).
% 42.92/43.13 (* end of lemma zenon_L161_ *)
% 42.92/43.13 assert (zenon_L162_ : (((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (e21)) = (e21)))/\(((op2 (e21) (e21)) = (e21))/\(~((op2 (e21) (e21)) = (e21)))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1fb.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H2b. zenon_intro zenon_H1fc.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 42.92/43.13 exact (zenon_H2a zenon_H2b).
% 42.92/43.13 (* end of lemma zenon_L162_ *)
% 42.92/43.13 assert (zenon_L163_ : (((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (e21)) = (e21)))/\(((op2 (e22) (e22)) = (e21))/\(~((op2 (e22) (e21)) = (e22)))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1fd.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H2b. zenon_intro zenon_H1fe.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H2a. zenon_intro zenon_H171.
% 42.92/43.13 exact (zenon_H2a zenon_H2b).
% 42.92/43.13 (* end of lemma zenon_L163_ *)
% 42.92/43.13 assert (zenon_L164_ : (((op2 (e21) (e21)) = (e21))/\((~((op2 (e21) (e21)) = (e21)))/\(((op2 (e23) (e23)) = (e21))/\(~((op2 (e23) (e21)) = (e23)))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H1ff.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H2b. zenon_intro zenon_H200.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H2a. zenon_intro zenon_H18e.
% 42.92/43.13 exact (zenon_H2a zenon_H2b).
% 42.92/43.13 (* end of lemma zenon_L164_ *)
% 42.92/43.13 assert (zenon_L165_ : (((op2 (e21) (e22)) = (e21))/\((~((op2 (e21) (e21)) = (e22)))/\(((op2 (e20) (e20)) = (e22))/\(~((op2 (e20) (e22)) = (e20)))))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H201 zenon_H41.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H201). zenon_intro zenon_H1a9. zenon_intro zenon_H202.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_H4a. zenon_intro zenon_H191.
% 42.92/43.13 apply zenon_H4a. apply sym_equal. exact zenon_H41.
% 42.92/43.13 (* end of lemma zenon_L165_ *)
% 42.92/43.13 assert (zenon_L166_ : (((op2 (e21) (e22)) = (e21))/\((~((op2 (e21) (e21)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H203.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1a9. zenon_intro zenon_H204.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H4a. zenon_intro zenon_H1c4.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 42.92/43.13 exact (zenon_H1a6 zenon_H1a9).
% 42.92/43.13 (* end of lemma zenon_L166_ *)
% 42.92/43.13 assert (zenon_L167_ : (((op2 (e21) (e22)) = (e21))/\((~((op2 (e21) (e21)) = (e22)))/\(((op2 (e22) (e22)) = (e22))/\(~((op2 (e22) (e22)) = (e22)))))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H205 zenon_H41.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1a9. zenon_intro zenon_H206.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H4a. zenon_intro zenon_H1cc.
% 42.92/43.13 apply zenon_H4a. apply sym_equal. exact zenon_H41.
% 42.92/43.13 (* end of lemma zenon_L167_ *)
% 42.92/43.13 assert (zenon_L168_ : (((op2 (e21) (e22)) = (e21))/\((~((op2 (e21) (e21)) = (e22)))/\(((op2 (e23) (e23)) = (e22))/\(~((op2 (e23) (e22)) = (e23)))))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H207 zenon_H41.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H207). zenon_intro zenon_H1a9. zenon_intro zenon_H208.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_H4a. zenon_intro zenon_H1cf.
% 42.92/43.13 apply zenon_H4a. apply sym_equal. exact zenon_H41.
% 42.92/43.13 (* end of lemma zenon_L168_ *)
% 42.92/43.13 assert (zenon_L169_ : (((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))))))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((e21) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H6d zenon_H6e zenon_H83 zenon_H1ba zenon_H43 zenon_H37 zenon_H2f zenon_H30 zenon_H50 zenon_H53 zenon_H6a zenon_H5e zenon_H5a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H74 ].
% 42.92/43.13 apply (zenon_L113_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H39 | zenon_intro zenon_H75 ].
% 42.92/43.13 apply (zenon_L15_); trivial.
% 42.92/43.13 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 42.92/43.13 apply (zenon_L16_); trivial.
% 42.92/43.13 apply (zenon_L20_); trivial.
% 42.92/43.13 (* end of lemma zenon_L169_ *)
% 42.92/43.13 assert (zenon_L170_ : (((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))))))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.13 do 0 intro. intros zenon_H76 zenon_H6a zenon_H5a zenon_H1a1 zenon_H5e zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 42.92/43.13 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 42.92/43.14 apply (zenon_L101_); trivial.
% 42.92/43.14 (* end of lemma zenon_L170_ *)
% 42.92/43.14 assert (zenon_L171_ : (((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))))))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H174 zenon_Ha4 zenon_Hef zenon_Hba zenon_H83 zenon_H4c zenon_H2d zenon_H41 zenon_Hf6 zenon_H12c zenon_H86 zenon_H30 zenon_Haa zenon_Ha9 zenon_H131.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H176. zenon_intro zenon_H175.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H92. zenon_intro zenon_H17b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17d. zenon_intro zenon_H17c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H17f. zenon_intro zenon_H17e.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H181. zenon_intro zenon_H180.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H132 | zenon_intro zenon_Hee ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 42.92/43.14 apply (zenon_L66_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 42.92/43.14 apply (zenon_L14_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 42.92/43.14 exact (zenon_H132 zenon_H137).
% 42.92/43.14 apply (zenon_L120_); trivial.
% 42.92/43.14 apply (zenon_L62_); trivial.
% 42.92/43.14 (* end of lemma zenon_L171_ *)
% 42.92/43.14 assert (zenon_L172_ : (((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (~((op2 (e21) (e21)) = (e23))) -> ((op2 (e21) (e23)) = (e21)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H15c zenon_H62 zenon_H1a1.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H168. zenon_intro zenon_H167.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H5f ].
% 42.92/43.14 exact (zenon_H1c1 zenon_H1a1).
% 42.92/43.14 exact (zenon_H62 zenon_H5f).
% 42.92/43.14 (* end of lemma zenon_L172_ *)
% 42.92/43.14 assert (zenon_L173_ : (((op2 (e21) (e23)) = (e21))/\((~((op2 (e21) (e21)) = (e23)))/\(((op2 (e20) (e20)) = (e23))/\(~((op2 (e20) (e23)) = (e20)))))) -> ((((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))))))))))\/((((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))))))))))\/(((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((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 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H209 zenon_H16c zenon_H53 zenon_H50 zenon_H2f zenon_H37 zenon_H43 zenon_H1ba zenon_H6e zenon_H5e zenon_H5a zenon_H6a zenon_H131 zenon_Haa zenon_H30 zenon_H86 zenon_H12c zenon_Hf6 zenon_H41 zenon_H2d zenon_H4c zenon_Hba zenon_Hef zenon_Ha4.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H20a.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H62. zenon_intro zenon_H1d2.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H83. zenon_intro zenon_Ha9.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 42.92/43.14 apply (zenon_L169_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 42.92/43.14 apply (zenon_L170_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 42.92/43.14 apply (zenon_L171_); trivial.
% 42.92/43.14 apply (zenon_L172_); trivial.
% 42.92/43.14 (* end of lemma zenon_L173_ *)
% 42.92/43.14 assert (zenon_L174_ : (((op2 (e21) (e23)) = (e21))/\((~((op2 (e21) (e21)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H20b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a1. zenon_intro zenon_H20c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H62. zenon_intro zenon_H1d6.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H5f. zenon_intro zenon_H1c1.
% 42.92/43.14 exact (zenon_H1c1 zenon_H1a1).
% 42.92/43.14 (* end of lemma zenon_L174_ *)
% 42.92/43.14 assert (zenon_L175_ : (((op2 (e21) (e23)) = (e21))/\((~((op2 (e21) (e21)) = (e23)))/\(((op2 (e22) (e22)) = (e23))/\(~((op2 (e22) (e23)) = (e22)))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H20d zenon_H2d zenon_H41 zenon_H141.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H1a1. zenon_intro zenon_H20e.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H62. zenon_intro zenon_H1d9.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H140. zenon_intro zenon_H15b.
% 42.92/43.14 apply (zenon_L72_); trivial.
% 42.92/43.14 (* end of lemma zenon_L175_ *)
% 42.92/43.14 assert (zenon_L176_ : (((op2 (e21) (e23)) = (e21))/\((~((op2 (e21) (e21)) = (e23)))/\(((op2 (e23) (e23)) = (e23))/\(~((op2 (e23) (e23)) = (e23)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H20f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H1a1. zenon_intro zenon_H210.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H62. zenon_intro zenon_H1dc.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H12b. zenon_intro zenon_H12f.
% 42.92/43.14 exact (zenon_H12f zenon_H12b).
% 42.92/43.14 (* end of lemma zenon_L176_ *)
% 42.92/43.14 assert (zenon_L177_ : (((op2 (e22) (e20)) = (e22))/\((~((op2 (e22) (e22)) = (e20)))/\(((op2 (e20) (e20)) = (e20))/\(~((op2 (e20) (e20)) = (e20)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H211.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H211). zenon_intro zenon_H11a. zenon_intro zenon_H212.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H212). zenon_intro zenon_H1e5. zenon_intro zenon_H15.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H14. zenon_intro zenon_H16.
% 42.92/43.14 exact (zenon_H16 zenon_H14).
% 42.92/43.14 (* end of lemma zenon_L177_ *)
% 42.92/43.14 assert (zenon_L178_ : (((op2 (e22) (e20)) = (e22))/\((~((op2 (e22) (e22)) = (e20)))/\(((op2 (e21) (e21)) = (e20))/\(~((op2 (e21) (e20)) = (e21)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H213 zenon_H6a zenon_H5e zenon_H5a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H213). zenon_intro zenon_H11a. zenon_intro zenon_H214.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H214). zenon_intro zenon_H1e5. zenon_intro zenon_H19.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_Hce. zenon_intro zenon_H1e1.
% 42.92/43.14 apply (zenon_L41_); trivial.
% 42.92/43.14 (* end of lemma zenon_L178_ *)
% 42.92/43.14 assert (zenon_L179_ : (((op2 (e22) (e20)) = (e22))/\((~((op2 (e22) (e22)) = (e20)))/\(((op2 (e22) (e22)) = (e20))/\(~((op2 (e22) (e20)) = (e22)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H215.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H215). zenon_intro zenon_H11a. zenon_intro zenon_H216.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1e5. zenon_intro zenon_H1c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H105. zenon_intro zenon_H11e.
% 42.92/43.14 exact (zenon_H11e zenon_H11a).
% 42.92/43.14 (* end of lemma zenon_L179_ *)
% 42.92/43.14 assert (zenon_L180_ : (((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20)))))))))) -> (~((op2 (e22) (e22)) = (e20))) -> ((op2 (e22) (e20)) = (e22)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H6d zenon_H1e5 zenon_H11a.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H195. zenon_intro zenon_H194.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H11e | zenon_intro zenon_H105 ].
% 42.92/43.14 exact (zenon_H11e zenon_H11a).
% 42.92/43.14 exact (zenon_H1e5 zenon_H105).
% 42.92/43.14 (* end of lemma zenon_L180_ *)
% 42.92/43.14 assert (zenon_L181_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e22) = (e23))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_Hf3 zenon_H11a zenon_H119 zenon_H43 zenon_H12c zenon_Hbf zenon_H82 zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_Hef.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.14 apply (zenon_L69_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.14 apply (zenon_L11_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.14 apply (zenon_L80_); trivial.
% 42.92/43.14 apply (zenon_L62_); trivial.
% 42.92/43.14 (* end of lemma zenon_L181_ *)
% 42.92/43.14 assert (zenon_L182_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e22))) -> ((op2 (e23) (e23)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H217 zenon_H94 zenon_Hef zenon_Hbf zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H82 zenon_H12c zenon_H43 zenon_H1ec zenon_H7c zenon_Hf3 zenon_H1e5 zenon_H125 zenon_H30 zenon_H2d.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 42.92/43.14 apply (zenon_L103_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 42.92/43.14 apply (zenon_L145_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 42.92/43.14 exact (zenon_H1e5 zenon_H105).
% 42.92/43.14 apply (zenon_L65_); trivial.
% 42.92/43.14 (* end of lemma zenon_L182_ *)
% 42.92/43.14 assert (zenon_L183_ : (((op2 (e22) (e20)) = (e22))/\((~((op2 (e22) (e22)) = (e20)))/\(((op2 (e23) (e23)) = (e20))/\(~((op2 (e23) (e20)) = (e23)))))) -> ((((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))))))))))\/((((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))))))))))\/(((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H21a zenon_H16c zenon_H1af zenon_Haa zenon_H5e zenon_H1ab zenon_H1b0 zenon_H5a zenon_H6a zenon_H217 zenon_H82 zenon_H43 zenon_H1ec zenon_Hf3 zenon_H119 zenon_Hba zenon_Hf6 zenon_Ha4 zenon_H86 zenon_H10d zenon_Hef zenon_H12c zenon_H4c zenon_H2d zenon_H41 zenon_H11f zenon_H30 zenon_H2f zenon_H125 zenon_H1bb zenon_H130 zenon_H131.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H11a. zenon_intro zenon_H21b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1e5. zenon_intro zenon_H1f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hbf. zenon_intro zenon_H1e8.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 42.92/43.14 apply (zenon_L180_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.14 apply (zenon_L181_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.14 apply (zenon_L17_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.14 apply (zenon_L182_); trivial.
% 42.92/43.14 apply (zenon_L106_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 42.92/43.14 apply (zenon_L156_); trivial.
% 42.92/43.14 apply (zenon_L159_); trivial.
% 42.92/43.14 (* end of lemma zenon_L183_ *)
% 42.92/43.14 assert (zenon_L184_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H41 zenon_H14a zenon_H5e.
% 42.92/43.14 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd1 ].
% 42.92/43.14 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H5e.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_Hd0.
% 42.92/43.14 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.92/43.14 cut (((op2 (e22) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1b9].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e22) (e21)) = (op2 (e21) (e21)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H1b9.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H41.
% 42.92/43.14 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 42.92/43.14 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H21c].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd1 ].
% 42.92/43.14 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e22) = (op2 (e22) (e21)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H21c.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_Hd0.
% 42.92/43.14 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 42.92/43.14 cut (((op2 (e22) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H146 zenon_H14a).
% 42.92/43.14 apply zenon_Hd1. apply refl_equal.
% 42.92/43.14 apply zenon_Hd1. apply refl_equal.
% 42.92/43.14 apply zenon_H45. apply refl_equal.
% 42.92/43.14 apply zenon_Hd1. apply refl_equal.
% 42.92/43.14 apply zenon_Hd1. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L184_ *)
% 42.92/43.14 assert (zenon_L185_ : (((op2 (e22) (e21)) = (e22))/\((~((op2 (e22) (e22)) = (e21)))/\(((op2 (e20) (e20)) = (e21))/\(~((op2 (e20) (e21)) = (e20)))))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H21d zenon_H41 zenon_H5e.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H14a. zenon_intro zenon_H21e.
% 42.92/43.14 apply (zenon_L184_); trivial.
% 42.92/43.14 (* end of lemma zenon_L185_ *)
% 42.92/43.14 assert (zenon_L186_ : (((op2 (e22) (e21)) = (e22))/\((~((op2 (e22) (e22)) = (e21)))/\(((op2 (e21) (e21)) = (e21))/\(~((op2 (e21) (e21)) = (e21)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H21f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H21f). zenon_intro zenon_H14a. zenon_intro zenon_H220.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H109. zenon_intro zenon_H29.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 42.92/43.14 exact (zenon_H2a zenon_H2b).
% 42.92/43.14 (* end of lemma zenon_L186_ *)
% 42.92/43.14 assert (zenon_L187_ : (((op2 (e22) (e21)) = (e22))/\((~((op2 (e22) (e22)) = (e21)))/\(((op2 (e22) (e22)) = (e21))/\(~((op2 (e22) (e21)) = (e22)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H221.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H14a. zenon_intro zenon_H222.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H109. zenon_intro zenon_H171.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H8d. zenon_intro zenon_H146.
% 42.92/43.14 exact (zenon_H146 zenon_H14a).
% 42.92/43.14 (* end of lemma zenon_L187_ *)
% 42.92/43.14 assert (zenon_L188_ : (((op2 (e22) (e21)) = (e22))/\((~((op2 (e22) (e22)) = (e21)))/\(((op2 (e23) (e23)) = (e21))/\(~((op2 (e23) (e21)) = (e23)))))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H223 zenon_H41 zenon_H5e.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H14a. zenon_intro zenon_H224.
% 42.92/43.14 apply (zenon_L184_); trivial.
% 42.92/43.14 (* end of lemma zenon_L188_ *)
% 42.92/43.14 assert (zenon_L189_ : (((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (e22)) = (e22)))/\(((op2 (e20) (e20)) = (e22))/\(~((op2 (e20) (e22)) = (e20)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H225.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H225). zenon_intro zenon_H104. zenon_intro zenon_H226.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H101. zenon_intro zenon_H191.
% 42.92/43.14 exact (zenon_H101 zenon_H104).
% 42.92/43.14 (* end of lemma zenon_L189_ *)
% 42.92/43.14 assert (zenon_L190_ : (((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (e22)) = (e22)))/\(((op2 (e21) (e21)) = (e22))/\(~((op2 (e21) (e22)) = (e21)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H227.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H104. zenon_intro zenon_H228.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H101. zenon_intro zenon_H1c4.
% 42.92/43.14 exact (zenon_H101 zenon_H104).
% 42.92/43.14 (* end of lemma zenon_L190_ *)
% 42.92/43.14 assert (zenon_L191_ : (((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (e22)) = (e22)))/\(((op2 (e22) (e22)) = (e22))/\(~((op2 (e22) (e22)) = (e22)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H229.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H104. zenon_intro zenon_H22a.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H22a). zenon_intro zenon_H101. zenon_intro zenon_H1cc.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H104. zenon_intro zenon_H101.
% 42.92/43.14 exact (zenon_H101 zenon_H104).
% 42.92/43.14 (* end of lemma zenon_L191_ *)
% 42.92/43.14 assert (zenon_L192_ : (((op2 (e22) (e22)) = (e22))/\((~((op2 (e22) (e22)) = (e22)))/\(((op2 (e23) (e23)) = (e22))/\(~((op2 (e23) (e22)) = (e23)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H22b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H22b). zenon_intro zenon_H104. zenon_intro zenon_H22c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H22c). zenon_intro zenon_H101. zenon_intro zenon_H1cf.
% 42.92/43.14 exact (zenon_H101 zenon_H104).
% 42.92/43.14 (* end of lemma zenon_L192_ *)
% 42.92/43.14 assert (zenon_L193_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (op2 (e21) (e21))) = (e21)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e22) (e22)) = (e21)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H22d zenon_H7a zenon_H41 zenon_H8d.
% 42.92/43.14 cut (((op2 (e21) (op2 (e21) (e21))) = (e21)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H22d.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H7a.
% 42.92/43.14 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H22e].
% 42.92/43.14 cut (((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ].
% 42.92/43.14 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (op2 (e21) (e21))) = (op2 (e21) (e22)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H22f.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_Hfb.
% 42.92/43.14 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 42.92/43.14 cut (((op2 (e21) (e22)) = (op2 (e21) (op2 (e21) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H230].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 42.92/43.14 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H48. apply refl_equal.
% 42.92/43.14 exact (zenon_H56 zenon_H41).
% 42.92/43.14 apply zenon_Hfc. apply refl_equal.
% 42.92/43.14 apply zenon_Hfc. apply refl_equal.
% 42.92/43.14 apply zenon_H22e. apply sym_equal. exact zenon_H8d.
% 42.92/43.14 (* end of lemma zenon_L193_ *)
% 42.92/43.14 assert (zenon_L194_ : ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H104 zenon_H41 zenon_Hb0 zenon_H95.
% 42.92/43.14 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H90 ].
% 42.92/43.14 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H95.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H96.
% 42.92/43.14 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.14 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H97.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H41.
% 42.92/43.14 cut (((op2 (e21) (e21)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 42.92/43.14 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H231].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H90 ].
% 42.92/43.14 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e22) = (op2 (e22) (e22)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H231.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H96.
% 42.92/43.14 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 42.92/43.14 cut (((op2 (e22) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H101].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H101 zenon_H104).
% 42.92/43.14 apply zenon_H90. apply refl_equal.
% 42.92/43.14 apply zenon_H90. apply refl_equal.
% 42.92/43.14 apply (zenon_L33_); trivial.
% 42.92/43.14 apply zenon_H90. apply refl_equal.
% 42.92/43.14 apply zenon_H90. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L194_ *)
% 42.92/43.14 assert (zenon_L195_ : ((op2 (e22) (e23)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H93 zenon_H155 zenon_H232.
% 42.92/43.14 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H89 | zenon_intro zenon_H8a ].
% 42.92/43.14 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H232.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H89.
% 42.92/43.14 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.92/43.14 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H233].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((op2 (e22) (e23)) = (e22)) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H233.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H93.
% 42.92/43.14 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 42.92/43.14 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H8a. apply refl_equal.
% 42.92/43.14 apply zenon_H157. apply sym_equal. exact zenon_H155.
% 42.92/43.14 apply zenon_H8a. apply refl_equal.
% 42.92/43.14 apply zenon_H8a. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L195_ *)
% 42.92/43.14 assert (zenon_L196_ : (((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H15c zenon_H144 zenon_H93.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H168. zenon_intro zenon_H167.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H16a. zenon_intro zenon_H169.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H15b | zenon_intro zenon_H140 ].
% 42.92/43.14 exact (zenon_H15b zenon_H93).
% 42.92/43.14 exact (zenon_H144 zenon_H140).
% 42.92/43.14 (* end of lemma zenon_L196_ *)
% 42.92/43.14 assert (zenon_L197_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e20) (e20)) = (e23))/\(~((op2 (e20) (e23)) = (e20)))))) -> ((((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))))))))))\/((((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))))))))))\/(((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e22)) = (e20))\/((op2 (e20) (e23)) = (e20))))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e21) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H234 zenon_H16c zenon_H5a zenon_H5e zenon_H6a zenon_H50 zenon_H2f zenon_H37 zenon_H43 zenon_H6e zenon_H1f5 zenon_H82 zenon_H53 zenon_H235 zenon_H22d zenon_H95 zenon_H232 zenon_H16f zenon_H1ba zenon_H131 zenon_Haa zenon_H30 zenon_H86 zenon_H12c zenon_Hf6 zenon_H41 zenon_H2d zenon_H4c zenon_Hba zenon_Hef zenon_Ha4.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H93. zenon_intro zenon_H236.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H144. zenon_intro zenon_H1d2.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H83. zenon_intro zenon_Ha9.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 42.92/43.14 apply (zenon_L169_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H14 | zenon_intro zenon_H1f7 ].
% 42.92/43.14 apply (zenon_L135_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H22 | zenon_intro zenon_H1f8 ].
% 42.92/43.14 exact (zenon_H25 zenon_H22).
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Ha5 ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 42.92/43.14 apply (zenon_L24_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 42.92/43.14 apply (zenon_L59_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H105 | zenon_intro zenon_H237 ].
% 42.92/43.14 apply (zenon_L94_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H8d | zenon_intro zenon_H238 ].
% 42.92/43.14 apply (zenon_L193_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H104 | zenon_intro zenon_H140 ].
% 42.92/43.14 apply (zenon_L194_); trivial.
% 42.92/43.14 exact (zenon_H144 zenon_H140).
% 42.92/43.14 apply (zenon_L195_); trivial.
% 42.92/43.14 exact (zenon_Ha9 zenon_Ha5).
% 42.92/43.14 apply (zenon_L113_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 42.92/43.14 apply (zenon_L171_); trivial.
% 42.92/43.14 apply (zenon_L196_); trivial.
% 42.92/43.14 (* end of lemma zenon_L197_ *)
% 42.92/43.14 assert (zenon_L198_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H239 zenon_H5e zenon_H2d zenon_H41.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H239). zenon_intro zenon_H93. zenon_intro zenon_H23a.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H23a). zenon_intro zenon_H144. zenon_intro zenon_H1d6.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H5f. zenon_intro zenon_H1c1.
% 42.92/43.14 apply (zenon_L18_); trivial.
% 42.92/43.14 (* end of lemma zenon_L198_ *)
% 42.92/43.14 assert (zenon_L199_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e22) (e22)) = (e23))/\(~((op2 (e22) (e23)) = (e22)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H23b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H23b). zenon_intro zenon_H93. zenon_intro zenon_H23c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H23c). zenon_intro zenon_H144. zenon_intro zenon_H1d9.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H140. zenon_intro zenon_H15b.
% 42.92/43.14 exact (zenon_H15b zenon_H93).
% 42.92/43.14 (* end of lemma zenon_L199_ *)
% 42.92/43.14 assert (zenon_L200_ : (((op2 (e22) (e23)) = (e22))/\((~((op2 (e22) (e22)) = (e23)))/\(((op2 (e23) (e23)) = (e23))/\(~((op2 (e23) (e23)) = (e23)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H23d.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H23d). zenon_intro zenon_H93. zenon_intro zenon_H23e.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_H144. zenon_intro zenon_H1dc.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H12b. zenon_intro zenon_H12f.
% 42.92/43.14 exact (zenon_H12f zenon_H12b).
% 42.92/43.14 (* end of lemma zenon_L200_ *)
% 42.92/43.14 assert (zenon_L201_ : (((op2 (e23) (e20)) = (e23))/\((~((op2 (e23) (e23)) = (e20)))/\(((op2 (e20) (e20)) = (e20))/\(~((op2 (e20) (e20)) = (e20)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H23f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H23f). zenon_intro zenon_H129. zenon_intro zenon_H240.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H241. zenon_intro zenon_H15.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H14. zenon_intro zenon_H16.
% 42.92/43.14 exact (zenon_H16 zenon_H14).
% 42.92/43.14 (* end of lemma zenon_L201_ *)
% 42.92/43.14 assert (zenon_L202_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e23)) = (e20))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_H241.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hf7 ].
% 42.92/43.14 apply (zenon_L31_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf8 ].
% 42.92/43.14 apply (zenon_L32_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbf ].
% 42.92/43.14 apply (zenon_L25_); trivial.
% 42.92/43.14 exact (zenon_H241 zenon_Hbf).
% 42.92/43.14 (* end of lemma zenon_L202_ *)
% 42.92/43.14 assert (zenon_L203_ : (((op2 (e23) (e20)) = (e23))/\((~((op2 (e23) (e23)) = (e20)))/\(((op2 (e21) (e21)) = (e20))/\(~((op2 (e21) (e20)) = (e21)))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H242 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H129. zenon_intro zenon_H243.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H241. zenon_intro zenon_H19.
% 42.92/43.14 apply (zenon_L202_); trivial.
% 42.92/43.14 (* end of lemma zenon_L203_ *)
% 42.92/43.14 assert (zenon_L204_ : (((op2 (e23) (e20)) = (e23))/\((~((op2 (e23) (e23)) = (e20)))/\(((op2 (e22) (e22)) = (e20))/\(~((op2 (e22) (e20)) = (e22)))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H244 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H129. zenon_intro zenon_H245.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H241. zenon_intro zenon_H1c.
% 42.92/43.14 apply (zenon_L202_); trivial.
% 42.92/43.14 (* end of lemma zenon_L204_ *)
% 42.92/43.14 assert (zenon_L205_ : (((op2 (e23) (e20)) = (e23))/\((~((op2 (e23) (e23)) = (e20)))/\(((op2 (e23) (e23)) = (e20))/\(~((op2 (e23) (e20)) = (e23)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H246.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H129. zenon_intro zenon_H247.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H241. zenon_intro zenon_H1f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hbf. zenon_intro zenon_H1e8.
% 42.92/43.14 exact (zenon_H1e8 zenon_H129).
% 42.92/43.14 (* end of lemma zenon_L205_ *)
% 42.92/43.14 assert (zenon_L206_ : (((op2 (e23) (e21)) = (e23))/\((~((op2 (e23) (e23)) = (e21)))/\(((op2 (e20) (e20)) = (e21))/\(~((op2 (e20) (e21)) = (e20)))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H248 zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H4b. zenon_intro zenon_H249.
% 42.92/43.14 apply (zenon_L14_); trivial.
% 42.92/43.14 (* end of lemma zenon_L206_ *)
% 42.92/43.14 assert (zenon_L207_ : (((op2 (e23) (e21)) = (e23))/\((~((op2 (e23) (e23)) = (e21)))/\(((op2 (e21) (e21)) = (e21))/\(~((op2 (e21) (e21)) = (e21)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H24a.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_H4b. zenon_intro zenon_H24b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H24c. zenon_intro zenon_H29.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 42.92/43.14 exact (zenon_H2a zenon_H2b).
% 42.92/43.14 (* end of lemma zenon_L207_ *)
% 42.92/43.14 assert (zenon_L208_ : (((op2 (e23) (e21)) = (e23))/\((~((op2 (e23) (e23)) = (e21)))/\(((op2 (e22) (e22)) = (e21))/\(~((op2 (e22) (e21)) = (e22)))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H24d zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H4b. zenon_intro zenon_H24e.
% 42.92/43.14 apply (zenon_L14_); trivial.
% 42.92/43.14 (* end of lemma zenon_L208_ *)
% 42.92/43.14 assert (zenon_L209_ : (((op2 (e23) (e21)) = (e23))/\((~((op2 (e23) (e23)) = (e21)))/\(((op2 (e23) (e23)) = (e21))/\(~((op2 (e23) (e21)) = (e23)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H24f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H4b. zenon_intro zenon_H250.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H250). zenon_intro zenon_H24c. zenon_intro zenon_H18e.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_H188. zenon_intro zenon_H4f.
% 42.92/43.14 exact (zenon_H4f zenon_H4b).
% 42.92/43.14 (* end of lemma zenon_L209_ *)
% 42.92/43.14 assert (zenon_L210_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_Hf3 zenon_H1ed zenon_H7c zenon_H1ec zenon_H43 zenon_H41 zenon_H137 zenon_H82 zenon_Hf2.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.14 apply (zenon_L144_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.14 apply (zenon_L11_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.14 apply (zenon_L79_); trivial.
% 42.92/43.14 exact (zenon_Hf2 zenon_Hee).
% 42.92/43.14 (* end of lemma zenon_L210_ *)
% 42.92/43.14 assert (zenon_L211_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (~((e22) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H2d zenon_H12c zenon_H43 zenon_H84 zenon_Hf3 zenon_H125 zenon_H30 zenon_H2f zenon_H11f zenon_H130 zenon_Hfa zenon_H41 zenon_Hef zenon_H105 zenon_H82 zenon_H137.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 42.92/43.14 apply (zenon_L64_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 42.92/43.14 apply (zenon_L8_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 42.92/43.14 apply (zenon_L65_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.14 apply (zenon_L35_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.14 apply (zenon_L11_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.14 apply (zenon_L80_); trivial.
% 42.92/43.14 exact (zenon_Hf2 zenon_Hee).
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 42.92/43.14 apply (zenon_L52_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 42.92/43.14 apply (zenon_L141_); trivial.
% 42.92/43.14 apply (zenon_L79_); trivial.
% 42.92/43.14 (* end of lemma zenon_L211_ *)
% 42.92/43.14 assert (zenon_L212_ : (~((op2 (op2 (e21) (e21)) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H251 zenon_H5f.
% 42.92/43.14 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.14 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H62 zenon_H5f).
% 42.92/43.14 apply zenon_H48. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L212_ *)
% 42.92/43.14 assert (zenon_L213_ : ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e21) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2d zenon_H137 zenon_H5f zenon_H252.
% 42.92/43.14 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdf ].
% 42.92/43.14 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H252.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_Hde.
% 42.92/43.14 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 42.92/43.14 cut (((op2 (e23) (e22)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H253].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e23) (e22)) = (op2 (e23) (e21)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H253.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2d.
% 42.92/43.14 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H251].
% 42.92/43.14 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdf ].
% 42.92/43.14 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e23) = (op2 (e23) (e22)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H1bc.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_Hde.
% 42.92/43.14 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 42.92/43.14 cut (((op2 (e23) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H132].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H132 zenon_H137).
% 42.92/43.14 apply zenon_Hdf. apply refl_equal.
% 42.92/43.14 apply zenon_Hdf. apply refl_equal.
% 42.92/43.14 apply (zenon_L212_); trivial.
% 42.92/43.14 apply zenon_Hdf. apply refl_equal.
% 42.92/43.14 apply zenon_Hdf. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L213_ *)
% 42.92/43.14 assert (zenon_L214_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H6a zenon_H5a zenon_H252 zenon_H137 zenon_H1b0 zenon_He4 zenon_H7e zenon_H1ab zenon_H5e zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.14 apply (zenon_L17_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.14 apply (zenon_L213_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.14 apply (zenon_L105_); trivial.
% 42.92/43.14 apply (zenon_L14_); trivial.
% 42.92/43.14 (* end of lemma zenon_L214_ *)
% 42.92/43.14 assert (zenon_L215_ : (((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22)))))))))) -> (~((op2 (e23) (e23)) = (e22))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H174 zenon_Hf2 zenon_H137.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H176. zenon_intro zenon_H175.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H92. zenon_intro zenon_H17b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17d. zenon_intro zenon_H17c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H17f. zenon_intro zenon_H17e.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H181. zenon_intro zenon_H180.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H132 | zenon_intro zenon_Hee ].
% 42.92/43.14 exact (zenon_H132 zenon_H137).
% 42.92/43.14 exact (zenon_Hf2 zenon_Hee).
% 42.92/43.14 (* end of lemma zenon_L215_ *)
% 42.92/43.14 assert (zenon_L216_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e20) (e20)) = (e22))/\(~((op2 (e20) (e22)) = (e20)))))) -> ((((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) (e20)) = (e21)))\/((op2 (e21) (e21)) = (e20)))/\(((~((op2 (e22) (e20)) = (e22)))\/((op2 (e22) (e22)) = (e20)))/\((~((op2 (e23) (e20)) = (e23)))\/((op2 (e23) (e23)) = (e20))))))))))\/((((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21))))))))))\/((((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) (e22)) = (e20)))\/((op2 (e20) (e20)) = (e22)))/\(((~((op2 (e21) (e22)) = (e21)))\/((op2 (e21) (e21)) = (e22)))/\(((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22)))/\((~((op2 (e23) (e22)) = (e23)))\/((op2 (e23) (e23)) = (e22))))))))))\/(((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23))))))))))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (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) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H254 zenon_H16c zenon_Heb zenon_H53 zenon_H4c zenon_H41 zenon_H1af zenon_Haa zenon_H5e zenon_H1ab zenon_H1b0 zenon_H252 zenon_H5a zenon_H6a zenon_Hdd zenon_H217 zenon_H1ec zenon_H82 zenon_Hef zenon_Hfa zenon_Hf3 zenon_H43 zenon_H12c zenon_Hba zenon_H131 zenon_H100 zenon_H10d zenon_H130 zenon_H11f zenon_H2f zenon_H2d zenon_H30 zenon_H125 zenon_H1bb.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H137. zenon_intro zenon_H255.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf2. zenon_intro zenon_H191.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H84. zenon_intro zenon_Hcc.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hec ].
% 42.92/43.14 exact (zenon_Hcc zenon_Hc8).
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H55 | zenon_intro zenon_Hed ].
% 42.92/43.14 apply (zenon_L16_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H94 ].
% 42.92/43.14 apply (zenon_L35_); trivial.
% 42.92/43.14 apply (zenon_L136_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.14 apply (zenon_L11_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.14 apply (zenon_L79_); trivial.
% 42.92/43.14 exact (zenon_Hf2 zenon_Hee).
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 42.92/43.14 exact (zenon_Hcc zenon_Hc8).
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 42.92/43.14 apply (zenon_L210_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 42.92/43.14 apply (zenon_L211_); trivial.
% 42.92/43.14 apply (zenon_L65_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.14 apply (zenon_L17_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.14 apply (zenon_L136_); trivial.
% 42.92/43.14 apply (zenon_L214_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 42.92/43.14 apply (zenon_L215_); trivial.
% 42.92/43.14 apply (zenon_L158_); trivial.
% 42.92/43.14 (* end of lemma zenon_L216_ *)
% 42.92/43.14 assert (zenon_L217_ : (((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H256.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H258. zenon_intro zenon_H257.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H25a. zenon_intro zenon_H259.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H258. zenon_intro zenon_H25a.
% 42.92/43.14 exact (zenon_H25a zenon_H258).
% 42.92/43.14 (* end of lemma zenon_L217_ *)
% 42.92/43.14 assert (zenon_L218_ : (((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H25b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H258. zenon_intro zenon_H25c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H25a. zenon_intro zenon_H25d.
% 42.92/43.14 exact (zenon_H25a zenon_H258).
% 42.92/43.14 (* end of lemma zenon_L218_ *)
% 42.92/43.14 assert (zenon_L219_ : (((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H25e.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H258. zenon_intro zenon_H25f.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H25a. zenon_intro zenon_H260.
% 42.92/43.14 exact (zenon_H25a zenon_H258).
% 42.92/43.14 (* end of lemma zenon_L219_ *)
% 42.92/43.14 assert (zenon_L220_ : (((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H261.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H258. zenon_intro zenon_H262.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H25a. zenon_intro zenon_H263.
% 42.92/43.14 exact (zenon_H25a zenon_H258).
% 42.92/43.14 (* end of lemma zenon_L220_ *)
% 42.92/43.14 assert (zenon_L221_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H264.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_H266. zenon_intro zenon_H265.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H268. zenon_intro zenon_H267.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H267). zenon_intro zenon_H26a. zenon_intro zenon_H269.
% 42.92/43.14 exact (zenon_H269 zenon_H266).
% 42.92/43.14 (* end of lemma zenon_L221_ *)
% 42.92/43.14 assert (zenon_L222_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H26b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_H266. zenon_intro zenon_H26c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_H268. zenon_intro zenon_H26d.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26f. zenon_intro zenon_H26e.
% 42.92/43.14 exact (zenon_H26e zenon_H26f).
% 42.92/43.14 (* end of lemma zenon_L222_ *)
% 42.92/43.14 assert (zenon_L223_ : (~((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H270 zenon_H271.
% 42.92/43.14 cut (((op1 (op1 (e11) (e11)) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 42.92/43.14 cut (((op1 (op1 (e11) (e11)) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H272].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H272. apply sym_equal. exact zenon_H271.
% 42.92/43.14 apply zenon_H272. apply sym_equal. exact zenon_H271.
% 42.92/43.14 (* end of lemma zenon_L223_ *)
% 42.92/43.14 assert (zenon_L224_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e13) (e11)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H273 zenon_H274 zenon_H275 zenon_H271.
% 42.92/43.14 cut (((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H273.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H274.
% 42.92/43.14 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 42.92/43.14 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H276].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e10) = (op1 (e13) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H276.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H277.
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 42.92/43.14 cut (((op1 (e13) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H279 zenon_H275).
% 42.92/43.14 apply zenon_H278. apply refl_equal.
% 42.92/43.14 apply zenon_H278. apply refl_equal.
% 42.92/43.14 apply (zenon_L223_); trivial.
% 42.92/43.14 (* end of lemma zenon_L224_ *)
% 42.92/43.14 assert (zenon_L225_ : (~((e10) = (e10))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H27a.
% 42.92/43.14 apply zenon_H27a. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L225_ *)
% 42.92/43.14 assert (zenon_L226_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H27b zenon_H27c zenon_H27d zenon_H27e.
% 42.92/43.14 cut (((op1 (e10) (op1 (e10) (e11))) = (e11)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H27b.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H27c.
% 42.92/43.14 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H27f].
% 42.92/43.14 cut (((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H280].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H281 | zenon_intro zenon_H282 ].
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (op1 (e10) (e11))) = (op1 (e10) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H280.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H281.
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H282].
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H283].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H284].
% 42.92/43.14 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H27a. apply refl_equal.
% 42.92/43.14 apply zenon_H284. apply sym_equal. exact zenon_H27d.
% 42.92/43.14 apply zenon_H282. apply refl_equal.
% 42.92/43.14 apply zenon_H282. apply refl_equal.
% 42.92/43.14 apply zenon_H27f. apply sym_equal. exact zenon_H27e.
% 42.92/43.14 (* end of lemma zenon_L226_ *)
% 42.92/43.14 assert (zenon_L227_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H285 zenon_H286 zenon_H287.
% 42.92/43.14 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H287.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H277.
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H288].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e13) (e11)) = (op1 (e11) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H288.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H285.
% 42.92/43.14 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.92/43.14 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28a].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e12) = (op1 (e13) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H28a.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H277.
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 42.92/43.14 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H28b zenon_H286).
% 42.92/43.14 apply zenon_H278. apply refl_equal.
% 42.92/43.14 apply zenon_H278. apply refl_equal.
% 42.92/43.14 apply zenon_H289. apply refl_equal.
% 42.92/43.14 apply zenon_H278. apply refl_equal.
% 42.92/43.14 apply zenon_H278. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L227_ *)
% 42.92/43.14 assert (zenon_L228_ : (~((e11) = (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H28c.
% 42.92/43.14 apply zenon_H28c. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L228_ *)
% 42.92/43.14 assert (zenon_L229_ : (~((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H28d zenon_H285.
% 42.92/43.14 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 42.92/43.14 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H28e].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H28e. apply sym_equal. exact zenon_H285.
% 42.92/43.14 apply zenon_H28c. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L229_ *)
% 42.92/43.14 assert (zenon_L230_ : ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e13) (e11)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H271 zenon_H28f zenon_H285 zenon_H290.
% 42.92/43.14 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H290.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H277.
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e13) (e11)) = (op1 (e12) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H291.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H271.
% 42.92/43.14 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 42.92/43.14 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H292].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e13) = (op1 (e13) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H292.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H277.
% 42.92/43.14 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 42.92/43.14 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H293].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H293 zenon_H28f).
% 42.92/43.14 apply zenon_H278. apply refl_equal.
% 42.92/43.14 apply zenon_H278. apply refl_equal.
% 42.92/43.14 apply (zenon_L229_); trivial.
% 42.92/43.14 apply zenon_H278. apply refl_equal.
% 42.92/43.14 apply zenon_H278. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L230_ *)
% 42.92/43.14 assert (zenon_L231_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (op1 (e10) (e11))) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H294 zenon_H274 zenon_H273 zenon_H27d zenon_H27c zenon_H27b zenon_H287 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H275 | zenon_intro zenon_H295 ].
% 42.92/43.14 apply (zenon_L224_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H27e | zenon_intro zenon_H296 ].
% 42.92/43.14 apply (zenon_L226_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 42.92/43.14 apply (zenon_L227_); trivial.
% 42.92/43.14 apply (zenon_L230_); trivial.
% 42.92/43.14 (* end of lemma zenon_L231_ *)
% 42.92/43.14 assert (zenon_L232_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((op1 (e10) (e12)) = (e11)) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H297 zenon_H298 zenon_H299 zenon_H285.
% 42.92/43.14 cut (((op1 (e10) (op1 (e10) (e12))) = (e12)) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H297.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H298.
% 42.92/43.14 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29a].
% 42.92/43.14 cut (((op1 (e10) (op1 (e10) (e12))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29b].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H281 | zenon_intro zenon_H282 ].
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (op1 (e10) (e12))) = (op1 (e10) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H29b.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H281.
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H282].
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H29d].
% 42.92/43.14 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H27a. apply refl_equal.
% 42.92/43.14 apply zenon_H29d. apply sym_equal. exact zenon_H299.
% 42.92/43.14 apply zenon_H282. apply refl_equal.
% 42.92/43.14 apply zenon_H282. apply refl_equal.
% 42.92/43.14 exact (zenon_H29a zenon_H285).
% 42.92/43.14 (* end of lemma zenon_L232_ *)
% 42.92/43.14 assert (zenon_L233_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H29e zenon_H271 zenon_H29f zenon_H285.
% 42.92/43.14 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H29e.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H271.
% 42.92/43.14 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 42.92/43.14 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2a0].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H281 | zenon_intro zenon_H282 ].
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e13) = (op1 (e10) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2a0.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H281.
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H282].
% 42.92/43.14 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2a1].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H2a1 zenon_H29f).
% 42.92/43.14 apply zenon_H282. apply refl_equal.
% 42.92/43.14 apply zenon_H282. apply refl_equal.
% 42.92/43.14 apply (zenon_L229_); trivial.
% 42.92/43.14 (* end of lemma zenon_L233_ *)
% 42.92/43.14 assert (zenon_L234_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e11) (e11)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2a2 zenon_H271 zenon_H2a3 zenon_H285.
% 42.92/43.14 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2a2.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H271.
% 42.92/43.14 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 42.92/43.14 cut (((e13) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2a4].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H289 ].
% 42.92/43.14 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e13) = (op1 (e11) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2a4.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2a5.
% 42.92/43.14 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.92/43.14 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2a6].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H2a6 zenon_H2a3).
% 42.92/43.14 apply zenon_H289. apply refl_equal.
% 42.92/43.14 apply zenon_H289. apply refl_equal.
% 42.92/43.14 apply (zenon_L229_); trivial.
% 42.92/43.14 (* end of lemma zenon_L234_ *)
% 42.92/43.14 assert (zenon_L235_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H29e zenon_H2a7 zenon_H2a8 zenon_H2a9.
% 42.92/43.14 cut (((op1 (e10) (op1 (e10) (e13))) = (e13)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H29e.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2a7.
% 42.92/43.14 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2aa].
% 42.92/43.14 cut (((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2ab].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H281 | zenon_intro zenon_H282 ].
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2ab.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H281.
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H282].
% 42.92/43.14 cut (((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2ac].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2ad].
% 42.92/43.14 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H27a. apply refl_equal.
% 42.92/43.14 apply zenon_H2ad. apply sym_equal. exact zenon_H2a8.
% 42.92/43.14 apply zenon_H282. apply refl_equal.
% 42.92/43.14 apply zenon_H282. apply refl_equal.
% 42.92/43.14 apply zenon_H2aa. apply sym_equal. exact zenon_H2a9.
% 42.92/43.14 (* end of lemma zenon_L235_ *)
% 42.92/43.14 assert (zenon_L236_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2ae zenon_H2a2 zenon_H2a8 zenon_H2a7 zenon_H29e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.14 apply (zenon_L233_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.14 apply (zenon_L234_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.14 apply (zenon_L235_); trivial.
% 42.92/43.14 apply (zenon_L230_); trivial.
% 42.92/43.14 (* end of lemma zenon_L236_ *)
% 42.92/43.14 assert (zenon_L237_ : (((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))))))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2b1 zenon_H2b2 zenon_H268 zenon_H287 zenon_H27b zenon_H273 zenon_H274 zenon_H294 zenon_H297 zenon_H2ae zenon_H2a2 zenon_H29e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H26a | zenon_intro zenon_H2b8 ].
% 42.92/43.14 exact (zenon_H268 zenon_H26a).
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H27d | zenon_intro zenon_H2b9 ].
% 42.92/43.14 apply (zenon_L231_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H299 | zenon_intro zenon_H2a8 ].
% 42.92/43.14 apply (zenon_L232_); trivial.
% 42.92/43.14 apply (zenon_L236_); trivial.
% 42.92/43.14 (* end of lemma zenon_L237_ *)
% 42.92/43.14 assert (zenon_L238_ : (((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))))))))) -> (~((op1 (e10) (e10)) = (e11))) -> ((op1 (e10) (e11)) = (e10)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2ba zenon_H268 zenon_H266.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 42.92/43.14 exact (zenon_H269 zenon_H266).
% 42.92/43.14 exact (zenon_H268 zenon_H26a).
% 42.92/43.14 (* end of lemma zenon_L238_ *)
% 42.92/43.14 assert (zenon_L239_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e12) (e13)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2c5 zenon_H274 zenon_H2c6 zenon_H271.
% 42.92/43.14 cut (((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2c5.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H274.
% 42.92/43.14 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 42.92/43.14 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c7].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2c9 ].
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e10) = (op1 (e12) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2c7.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2c8.
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c9].
% 42.92/43.14 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2ca].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H2ca zenon_H2c6).
% 42.92/43.14 apply zenon_H2c9. apply refl_equal.
% 42.92/43.14 apply zenon_H2c9. apply refl_equal.
% 42.92/43.14 apply (zenon_L223_); trivial.
% 42.92/43.14 (* end of lemma zenon_L239_ *)
% 42.92/43.14 assert (zenon_L240_ : (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2cb zenon_H2cc zenon_H2cd.
% 42.92/43.14 cut (((op1 (e12) (e12)) = (e11)) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2cb.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2cc.
% 42.92/43.14 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2ce].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply zenon_H2ce. apply sym_equal. exact zenon_H2cd.
% 42.92/43.14 (* end of lemma zenon_L240_ *)
% 42.92/43.14 assert (zenon_L241_ : ((op1 (e12) (e13)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2d0 zenon_H2d1 zenon_H2d2.
% 42.92/43.14 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2c9 ].
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2d2.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2c8.
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c9].
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2d3].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((op1 (e12) (e13)) = (e12)) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2d3.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2d0.
% 42.92/43.14 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2d4].
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c9].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H2c9. apply refl_equal.
% 42.92/43.14 apply zenon_H2d4. apply sym_equal. exact zenon_H2d1.
% 42.92/43.14 apply zenon_H2c9. apply refl_equal.
% 42.92/43.14 apply zenon_H2c9. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L241_ *)
% 42.92/43.14 assert (zenon_L242_ : ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e13)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H271 zenon_H2d5 zenon_H285 zenon_H2d6.
% 42.92/43.14 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2c9 ].
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2d6.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2c8.
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c9].
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2d7].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e13)) = (op1 (e12) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2d7.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H271.
% 42.92/43.14 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 42.92/43.14 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2d8].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2c9 ].
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e13) = (op1 (e12) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2d8.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2c8.
% 42.92/43.14 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c9].
% 42.92/43.14 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H2d9 zenon_H2d5).
% 42.92/43.14 apply zenon_H2c9. apply refl_equal.
% 42.92/43.14 apply zenon_H2c9. apply refl_equal.
% 42.92/43.14 apply (zenon_L229_); trivial.
% 42.92/43.14 apply zenon_H2c9. apply refl_equal.
% 42.92/43.14 apply zenon_H2c9. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L242_ *)
% 42.92/43.14 assert (zenon_L243_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2da zenon_H274 zenon_H2c5 zenon_H2cc zenon_H2cb zenon_H2d2 zenon_H2d1 zenon_H271 zenon_H285 zenon_H2d6.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2db ].
% 42.92/43.14 apply (zenon_L239_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2dc ].
% 42.92/43.14 apply (zenon_L240_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2d5 ].
% 42.92/43.14 apply (zenon_L241_); trivial.
% 42.92/43.14 apply (zenon_L242_); trivial.
% 42.92/43.14 (* end of lemma zenon_L243_ *)
% 42.92/43.14 assert (zenon_L244_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H285 zenon_H2dd zenon_H2de.
% 42.92/43.14 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e0 ].
% 42.92/43.14 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e11)) = (op1 (e11) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2de.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2df.
% 42.92/43.14 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.92/43.14 cut (((op1 (e11) (e13)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2e1].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e11) (e13)) = (op1 (e11) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2e1.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H285.
% 42.92/43.14 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.92/43.14 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e2].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e0 ].
% 42.92/43.14 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e12) = (op1 (e11) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2e2.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2df.
% 42.92/43.14 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.92/43.14 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2e3].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H2e3 zenon_H2dd).
% 42.92/43.14 apply zenon_H2e0. apply refl_equal.
% 42.92/43.14 apply zenon_H2e0. apply refl_equal.
% 42.92/43.14 apply zenon_H289. apply refl_equal.
% 42.92/43.14 apply zenon_H2e0. apply refl_equal.
% 42.92/43.14 apply zenon_H2e0. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L244_ *)
% 42.92/43.14 assert (zenon_L245_ : (~((e12) = (e12))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2e4.
% 42.92/43.14 apply zenon_H2e4. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L245_ *)
% 42.92/43.14 assert (zenon_L246_ : (~((e13) = (e13))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2e5.
% 42.92/43.14 apply zenon_H2e5. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L246_ *)
% 42.92/43.14 assert (zenon_L247_ : (((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))))))))) -> (~((op1 (e12) (e12)) = (e13))) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2e6 zenon_H2e7 zenon_H2d0.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2eb. zenon_intro zenon_H2ea.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ed. zenon_intro zenon_H2ec.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ef. zenon_intro zenon_H2ee.
% 42.92/43.14 cut (((op1 (e12) (op1 (e12) (e13))) = (e13)) = ((op1 (e12) (e12)) = (e13))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2e7.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2ef.
% 42.92/43.14 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 42.92/43.14 cut (((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2cf ].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (op1 (e12) (e13))) = (op1 (e12) (e12)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2f0.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2f1.
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f3].
% 42.92/43.14 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2e4].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H2e4. apply refl_equal.
% 42.92/43.14 apply zenon_H2f3. apply sym_equal. exact zenon_H2d0.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply zenon_H2e5. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L247_ *)
% 42.92/43.14 assert (zenon_L248_ : ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e13)) = (e12)) -> (((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))))))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H271 zenon_H2d0 zenon_H2e6 zenon_H285 zenon_H2f4.
% 42.92/43.14 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2cf ].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2f4.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2f1.
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2f5].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e12)) = (op1 (e12) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2f5.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H271.
% 42.92/43.14 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 42.92/43.14 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2f6].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2cf ].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e13) = (op1 (e12) (e12)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2f6.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2f1.
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e7].
% 42.92/43.14 congruence.
% 42.92/43.14 apply (zenon_L247_); trivial.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply (zenon_L229_); trivial.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L248_ *)
% 42.92/43.14 assert (zenon_L249_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e10) (e13)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2f7 zenon_H274 zenon_H2f8 zenon_H271.
% 42.92/43.14 cut (((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2f7.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H274.
% 42.92/43.14 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 42.92/43.14 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f9].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H2fa | zenon_intro zenon_H2fb ].
% 42.92/43.14 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e10) = (op1 (e10) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2f9.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2fa.
% 42.92/43.14 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2fb].
% 42.92/43.14 cut (((op1 (e10) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2fc].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H2fc zenon_H2f8).
% 42.92/43.14 apply zenon_H2fb. apply refl_equal.
% 42.92/43.14 apply zenon_H2fb. apply refl_equal.
% 42.92/43.14 apply (zenon_L223_); trivial.
% 42.92/43.14 (* end of lemma zenon_L249_ *)
% 42.92/43.14 assert (zenon_L250_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e11) (e13)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2fd zenon_H274 zenon_H2fe zenon_H271.
% 42.92/43.14 cut (((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2fd.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H274.
% 42.92/43.14 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 42.92/43.14 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2ff].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e0 ].
% 42.92/43.14 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e10) = (op1 (e11) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2ff.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2df.
% 42.92/43.14 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.92/43.14 cut (((op1 (e11) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H300].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H300 zenon_H2fe).
% 42.92/43.14 apply zenon_H2e0. apply refl_equal.
% 42.92/43.14 apply zenon_H2e0. apply refl_equal.
% 42.92/43.14 apply (zenon_L223_); trivial.
% 42.92/43.14 (* end of lemma zenon_L250_ *)
% 42.92/43.14 assert (zenon_L251_ : (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e13) (e13)) = (e10)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H301 zenon_H302 zenon_H303.
% 42.92/43.14 cut (((op1 (e13) (e13)) = (e12)) = ((e10) = (e12))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H301.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H302.
% 42.92/43.14 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2e4].
% 42.92/43.14 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H304].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H304 zenon_H303).
% 42.92/43.14 apply zenon_H2e4. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L251_ *)
% 42.92/43.14 assert (zenon_L252_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H301 zenon_H302.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 42.92/43.14 apply (zenon_L249_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 42.92/43.14 apply (zenon_L250_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 42.92/43.14 apply (zenon_L239_); trivial.
% 42.92/43.14 apply (zenon_L251_); trivial.
% 42.92/43.14 (* end of lemma zenon_L252_ *)
% 42.92/43.14 assert (zenon_L253_ : ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e12)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H271 zenon_H308 zenon_H285 zenon_H2f4.
% 42.92/43.14 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2cf ].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2f4.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2f1.
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2f5].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e12)) = (op1 (e12) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2f5.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H271.
% 42.92/43.14 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 42.92/43.14 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2f6].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2cf ].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e13) = (op1 (e12) (e12)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2f6.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2f1.
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e7].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H2e7 zenon_H308).
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply (zenon_L229_); trivial.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L253_ *)
% 42.92/43.14 assert (zenon_L254_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H309 zenon_H30a zenon_H290 zenon_H29e zenon_H2a2 zenon_H2ae zenon_H297 zenon_H294 zenon_H273 zenon_H27b zenon_H287 zenon_H2b2 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H2de zenon_H2d2 zenon_H30b zenon_H2f4 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2cb zenon_H2d6 zenon_H285 zenon_H2da.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H266. zenon_intro zenon_H30c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H268. zenon_intro zenon_H30d.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2cc. zenon_intro zenon_H30e.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.14 apply (zenon_L237_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.14 apply (zenon_L238_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H312 ].
% 42.92/43.14 apply (zenon_L243_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H2dd | zenon_intro zenon_H313 ].
% 42.92/43.14 apply (zenon_L244_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H302 ].
% 42.92/43.14 apply (zenon_L248_); trivial.
% 42.92/43.14 apply (zenon_L252_); trivial.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H315. zenon_intro zenon_H314.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H317. zenon_intro zenon_H316.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31d. zenon_intro zenon_H31c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H321. zenon_intro zenon_H320.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H322 | zenon_intro zenon_H308 ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2db ].
% 42.92/43.14 apply (zenon_L239_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2dc ].
% 42.92/43.14 apply (zenon_L240_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2d5 ].
% 42.92/43.14 exact (zenon_H322 zenon_H2d0).
% 42.92/43.14 apply (zenon_L242_); trivial.
% 42.92/43.14 apply (zenon_L253_); trivial.
% 42.92/43.14 (* end of lemma zenon_L254_ *)
% 42.92/43.14 assert (zenon_L255_ : ((op1 (e13) (e13)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H323 zenon_H2cd zenon_H2c5.
% 42.92/43.14 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H324 | zenon_intro zenon_H325 ].
% 42.92/43.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2c5.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H324.
% 42.92/43.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 42.92/43.14 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H326].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H326.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H323.
% 42.92/43.14 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2ce].
% 42.92/43.14 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H325. apply refl_equal.
% 42.92/43.14 apply zenon_H2ce. apply sym_equal. exact zenon_H2cd.
% 42.92/43.14 apply zenon_H325. apply refl_equal.
% 42.92/43.14 apply zenon_H325. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L255_ *)
% 42.92/43.14 assert (zenon_L256_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H2d1 zenon_H271 zenon_H285 zenon_H2d6.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2db ].
% 42.92/43.14 apply (zenon_L239_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2dc ].
% 42.92/43.14 apply (zenon_L255_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2d5 ].
% 42.92/43.14 apply (zenon_L241_); trivial.
% 42.92/43.14 apply (zenon_L242_); trivial.
% 42.92/43.14 (* end of lemma zenon_L256_ *)
% 42.92/43.14 assert (zenon_L257_ : (((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H327 zenon_H30a zenon_H290 zenon_H29e zenon_H2a2 zenon_H2ae zenon_H297 zenon_H294 zenon_H273 zenon_H27b zenon_H287 zenon_H2b2 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H2de zenon_H2d2 zenon_H30b zenon_H2f4 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2d6 zenon_H285 zenon_H2da.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H266. zenon_intro zenon_H328.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H268. zenon_intro zenon_H329.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H323. zenon_intro zenon_H293.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.14 apply (zenon_L237_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.14 apply (zenon_L238_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H312 ].
% 42.92/43.14 apply (zenon_L256_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H2dd | zenon_intro zenon_H313 ].
% 42.92/43.14 apply (zenon_L244_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H302 ].
% 42.92/43.14 apply (zenon_L248_); trivial.
% 42.92/43.14 apply (zenon_L252_); trivial.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H315. zenon_intro zenon_H314.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H317. zenon_intro zenon_H316.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31d. zenon_intro zenon_H31c.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H321. zenon_intro zenon_H320.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H322 | zenon_intro zenon_H308 ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2db ].
% 42.92/43.14 apply (zenon_L239_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2dc ].
% 42.92/43.14 apply (zenon_L255_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2d5 ].
% 42.92/43.14 exact (zenon_H322 zenon_H2d0).
% 42.92/43.14 apply (zenon_L242_); trivial.
% 42.92/43.14 apply (zenon_L253_); trivial.
% 42.92/43.14 (* end of lemma zenon_L257_ *)
% 42.92/43.14 assert (zenon_L258_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10)))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H32a.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H32c. zenon_intro zenon_H32b.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32e. zenon_intro zenon_H32d.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f.
% 42.92/43.14 exact (zenon_H32f zenon_H32c).
% 42.92/43.14 (* end of lemma zenon_L258_ *)
% 42.92/43.14 assert (zenon_L259_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e12)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H331 zenon_H285 zenon_H332.
% 42.92/43.14 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H331.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H285.
% 42.92/43.14 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.92/43.14 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H333].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H334 | zenon_intro zenon_H335 ].
% 42.92/43.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e12) = (op1 (e11) (e10)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H333.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H334.
% 42.92/43.14 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H335].
% 42.92/43.14 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H336].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H336 zenon_H332).
% 42.92/43.14 apply zenon_H335. apply refl_equal.
% 42.92/43.14 apply zenon_H335. apply refl_equal.
% 42.92/43.14 apply zenon_H289. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L259_ *)
% 42.92/43.14 assert (zenon_L260_ : (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H337 zenon_H298 zenon_H32c zenon_H338.
% 42.92/43.14 cut (((op1 (e10) (op1 (e10) (e12))) = (e12)) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H337.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H298.
% 42.92/43.14 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H339].
% 42.92/43.14 cut (((op1 (e10) (op1 (e10) (e12))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H33a].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H33b | zenon_intro zenon_H33c ].
% 42.92/43.14 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (e10) (op1 (e10) (e12))) = (op1 (e10) (e10)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H33a.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H33b.
% 42.92/43.14 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 42.92/43.14 cut (((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33d].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 42.92/43.14 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H27a. apply refl_equal.
% 42.92/43.14 apply zenon_H33e. apply sym_equal. exact zenon_H32c.
% 42.92/43.14 apply zenon_H33c. apply refl_equal.
% 42.92/43.14 apply zenon_H33c. apply refl_equal.
% 42.92/43.14 apply zenon_H339. apply sym_equal. exact zenon_H338.
% 42.92/43.14 (* end of lemma zenon_L260_ *)
% 42.92/43.14 assert (zenon_L261_ : ((op1 (e12) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H33f zenon_H32c zenon_H340.
% 42.92/43.14 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2cf ].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H340.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H2f1.
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H341].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((op1 (e12) (e12)) = (e10)) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H341.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H33f.
% 42.92/43.14 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H33e].
% 42.92/43.14 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply zenon_H33e. apply sym_equal. exact zenon_H32c.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 apply zenon_H2cf. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L261_ *)
% 42.92/43.14 assert (zenon_L262_ : (((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2b1 zenon_H340 zenon_H32e zenon_H331 zenon_H285 zenon_H337 zenon_H32c zenon_H342.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H344. zenon_intro zenon_H343.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H346. zenon_intro zenon_H345.
% 42.92/43.14 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H348. zenon_intro zenon_H347.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H349 | zenon_intro zenon_H33f ].
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H330 | zenon_intro zenon_H34a ].
% 42.92/43.14 exact (zenon_H32e zenon_H330).
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H332 | zenon_intro zenon_H34b ].
% 42.92/43.14 apply (zenon_L259_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H34c | zenon_intro zenon_H338 ].
% 42.92/43.14 exact (zenon_H349 zenon_H34c).
% 42.92/43.14 apply (zenon_L260_); trivial.
% 42.92/43.14 apply (zenon_L261_); trivial.
% 42.92/43.14 (* end of lemma zenon_L262_ *)
% 42.92/43.14 assert (zenon_L263_ : (~((op1 (op1 (e11) (e11)) (e11)) = (op1 (e10) (e11)))) -> ((op1 (e11) (e11)) = (e10)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H34d zenon_H34e.
% 42.92/43.14 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 42.92/43.14 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H34f].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H34f zenon_H34e).
% 42.92/43.14 apply zenon_H28c. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L263_ *)
% 42.92/43.14 assert (zenon_L264_ : ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H271 zenon_H2a9 zenon_H34e zenon_H29e.
% 42.92/43.14 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H350 | zenon_intro zenon_H351 ].
% 42.92/43.14 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H29e.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H350.
% 42.92/43.14 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 42.92/43.14 cut (((op1 (e12) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H352].
% 42.92/43.14 congruence.
% 42.92/43.14 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e11)) = (op1 (e10) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H352.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H271.
% 42.92/43.14 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H34d].
% 42.92/43.14 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2aa].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H350 | zenon_intro zenon_H351 ].
% 42.92/43.14 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H2aa.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H350.
% 42.92/43.14 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 42.92/43.14 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H353 zenon_H2a9).
% 42.92/43.14 apply zenon_H351. apply refl_equal.
% 42.92/43.14 apply zenon_H351. apply refl_equal.
% 42.92/43.14 apply (zenon_L263_); trivial.
% 42.92/43.14 apply zenon_H351. apply refl_equal.
% 42.92/43.14 apply zenon_H351. apply refl_equal.
% 42.92/43.14 (* end of lemma zenon_L264_ *)
% 42.92/43.14 assert (zenon_L265_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H2ae zenon_H2a2 zenon_H29e zenon_H34e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.14 apply (zenon_L233_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.14 apply (zenon_L234_); trivial.
% 42.92/43.14 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.14 apply (zenon_L264_); trivial.
% 42.92/43.14 apply (zenon_L230_); trivial.
% 42.92/43.14 (* end of lemma zenon_L265_ *)
% 42.92/43.14 assert (zenon_L266_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H354 zenon_H274 zenon_H355 zenon_H271.
% 42.92/43.14 cut (((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H354.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H274.
% 42.92/43.14 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 42.92/43.14 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H356].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H357 | zenon_intro zenon_H358 ].
% 42.92/43.14 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e10) = (op1 (e13) (e10)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H356.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H357.
% 42.92/43.14 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H358].
% 42.92/43.14 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H359].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H359 zenon_H355).
% 42.92/43.14 apply zenon_H358. apply refl_equal.
% 42.92/43.14 apply zenon_H358. apply refl_equal.
% 42.92/43.14 apply (zenon_L223_); trivial.
% 42.92/43.14 (* end of lemma zenon_L266_ *)
% 42.92/43.14 assert (zenon_L267_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e13) (e12)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H35a zenon_H274 zenon_H35b zenon_H271.
% 42.92/43.14 cut (((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H35a.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H274.
% 42.92/43.14 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 42.92/43.14 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H35d | zenon_intro zenon_H35e ].
% 42.92/43.14 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e10) = (op1 (e13) (e12)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H35c.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H35d.
% 42.92/43.14 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.14 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H35f].
% 42.92/43.14 congruence.
% 42.92/43.14 exact (zenon_H35f zenon_H35b).
% 42.92/43.14 apply zenon_H35e. apply refl_equal.
% 42.92/43.14 apply zenon_H35e. apply refl_equal.
% 42.92/43.14 apply (zenon_L223_); trivial.
% 42.92/43.14 (* end of lemma zenon_L267_ *)
% 42.92/43.14 assert (zenon_L268_ : (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H337 zenon_H360 zenon_H361.
% 42.92/43.14 cut (((op1 (e10) (e10)) = (e13)) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H337.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H360.
% 42.92/43.14 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H362].
% 42.92/43.14 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 42.92/43.14 congruence.
% 42.92/43.14 apply zenon_H33c. apply refl_equal.
% 42.92/43.14 apply zenon_H362. apply sym_equal. exact zenon_H361.
% 42.92/43.14 (* end of lemma zenon_L268_ *)
% 42.92/43.14 assert (zenon_L269_ : (~((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e12) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e10)) = (e10)) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H363 zenon_H303 zenon_H271 zenon_H364.
% 42.92/43.14 cut (((op1 (e13) (e13)) = (e10)) = ((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e12) (e10)))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H363.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H303.
% 42.92/43.14 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H365].
% 42.92/43.14 cut (((op1 (e13) (e13)) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H366].
% 42.92/43.14 congruence.
% 42.92/43.14 elim (classic ((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))))); [ zenon_intro zenon_H367 | zenon_intro zenon_H368 ].
% 42.92/43.14 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e13) (e13)) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))))).
% 42.92/43.14 intro zenon_D_pnotp.
% 42.92/43.14 apply zenon_H366.
% 42.92/43.14 rewrite <- zenon_D_pnotp.
% 42.92/43.14 exact zenon_H367.
% 42.92/43.14 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H368].
% 42.92/43.14 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H270].
% 42.92/43.14 congruence.
% 42.92/43.14 apply (zenon_L223_); trivial.
% 42.92/43.14 apply zenon_H368. apply refl_equal.
% 42.92/43.14 apply zenon_H368. apply refl_equal.
% 42.92/43.14 apply zenon_H365. apply sym_equal. exact zenon_H364.
% 42.92/43.14 (* end of lemma zenon_L269_ *)
% 42.92/43.14 assert (zenon_L270_ : ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> False).
% 42.92/43.14 do 0 intro. intros zenon_H274 zenon_H369 zenon_H303 zenon_H364 zenon_H271 zenon_H36a.
% 42.92/43.14 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H350 | zenon_intro zenon_H351 ].
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H36a.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H350.
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H36b].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e12) (e11)) = (op1 (e12) (e10)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H36b.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H274.
% 42.92/43.15 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H363].
% 42.92/43.15 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H36c].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H350 | zenon_intro zenon_H351 ].
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e10) = (op1 (e12) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H36c.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H350.
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 42.92/43.15 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H36d].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H36d zenon_H369).
% 42.92/43.15 apply zenon_H351. apply refl_equal.
% 42.92/43.15 apply zenon_H351. apply refl_equal.
% 42.92/43.15 apply (zenon_L269_); trivial.
% 42.92/43.15 apply zenon_H351. apply refl_equal.
% 42.92/43.15 apply zenon_H351. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L270_ *)
% 42.92/43.15 assert (zenon_L271_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e11)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H36e zenon_H36f zenon_H370.
% 42.92/43.15 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H36e.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H36f.
% 42.92/43.15 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H371].
% 42.92/43.15 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H335].
% 42.92/43.15 congruence.
% 42.92/43.15 apply zenon_H335. apply refl_equal.
% 42.92/43.15 apply zenon_H371. apply sym_equal. exact zenon_H370.
% 42.92/43.15 (* end of lemma zenon_L271_ *)
% 42.92/43.15 assert (zenon_L272_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H372 zenon_H34c zenon_H338.
% 42.92/43.15 cut (((op1 (e12) (e10)) = (e12)) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H372.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H34c.
% 42.92/43.15 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H339].
% 42.92/43.15 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H373].
% 42.92/43.15 congruence.
% 42.92/43.15 apply zenon_H373. apply refl_equal.
% 42.92/43.15 apply zenon_H339. apply sym_equal. exact zenon_H338.
% 42.92/43.15 (* end of lemma zenon_L272_ *)
% 42.92/43.15 assert (zenon_L273_ : (~((e12) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H374 zenon_H375 zenon_H376.
% 42.92/43.15 cut (((op1 (e13) (e12)) = (e13)) = ((e12) = (e13))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H374.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H375.
% 42.92/43.15 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 42.92/43.15 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H377].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H377 zenon_H376).
% 42.92/43.15 apply zenon_H2e5. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L273_ *)
% 42.92/43.15 assert (zenon_L274_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e10)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H378 zenon_H34c zenon_H372 zenon_H287 zenon_H285 zenon_H375 zenon_H374 zenon_H301 zenon_H303.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 42.92/43.15 apply (zenon_L272_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 42.92/43.15 apply (zenon_L227_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 42.92/43.15 apply (zenon_L273_); trivial.
% 42.92/43.15 apply (zenon_L251_); trivial.
% 42.92/43.15 (* end of lemma zenon_L274_ *)
% 42.92/43.15 assert (zenon_L275_ : (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e10)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H36a zenon_H271 zenon_H37b zenon_H285.
% 42.92/43.15 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H36a.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H271.
% 42.92/43.15 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 42.92/43.15 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H37c].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H37d | zenon_intro zenon_H373 ].
% 42.92/43.15 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e13) = (op1 (e12) (e10)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H37c.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H37d.
% 42.92/43.15 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H373].
% 42.92/43.15 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37e].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H37e zenon_H37b).
% 42.92/43.15 apply zenon_H373. apply refl_equal.
% 42.92/43.15 apply zenon_H373. apply refl_equal.
% 42.92/43.15 apply (zenon_L229_); trivial.
% 42.92/43.15 (* end of lemma zenon_L275_ *)
% 42.92/43.15 assert (zenon_L276_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e12) (e11)) = (e10)) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (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) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H37f zenon_H369 zenon_H274 zenon_H36f zenon_H36e zenon_H303 zenon_H301 zenon_H374 zenon_H375 zenon_H287 zenon_H372 zenon_H378 zenon_H36a zenon_H271 zenon_H285.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H364 | zenon_intro zenon_H380 ].
% 42.92/43.15 apply (zenon_L270_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H370 | zenon_intro zenon_H381 ].
% 42.92/43.15 apply (zenon_L271_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H34c | zenon_intro zenon_H37b ].
% 42.92/43.15 apply (zenon_L274_); trivial.
% 42.92/43.15 apply (zenon_L275_); trivial.
% 42.92/43.15 (* end of lemma zenon_L276_ *)
% 42.92/43.15 assert (zenon_L277_ : ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e13)) -> (~((e10) = (e13))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H303 zenon_H382 zenon_H383.
% 42.92/43.15 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H384 | zenon_intro zenon_H2e5 ].
% 42.92/43.15 cut (((e13) = (e13)) = ((e10) = (e13))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H383.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H384.
% 42.92/43.15 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 42.92/43.15 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H385].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((op1 (e13) (e13)) = (e10)) = ((e13) = (e10))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H385.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H303.
% 42.92/43.15 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 42.92/43.15 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H386].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H386 zenon_H382).
% 42.92/43.15 apply zenon_H27a. apply refl_equal.
% 42.92/43.15 apply zenon_H2e5. apply refl_equal.
% 42.92/43.15 apply zenon_H2e5. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L277_ *)
% 42.92/43.15 assert (zenon_L278_ : (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2a2 zenon_H2c2 zenon_H387 zenon_H2a9.
% 42.92/43.15 cut (((op1 (e11) (op1 (e11) (e13))) = (e13)) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H2a2.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2c2.
% 42.92/43.15 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2aa].
% 42.92/43.15 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H388].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H289 ].
% 42.92/43.15 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H388.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2a5.
% 42.92/43.15 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.92/43.15 cut (((op1 (e11) (e11)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H389].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H38a].
% 42.92/43.15 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 42.92/43.15 congruence.
% 42.92/43.15 apply zenon_H28c. apply refl_equal.
% 42.92/43.15 apply zenon_H38a. apply sym_equal. exact zenon_H387.
% 42.92/43.15 apply zenon_H289. apply refl_equal.
% 42.92/43.15 apply zenon_H289. apply refl_equal.
% 42.92/43.15 apply zenon_H2aa. apply sym_equal. exact zenon_H2a9.
% 42.92/43.15 (* end of lemma zenon_L278_ *)
% 42.92/43.15 assert (zenon_L279_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H387 zenon_H2c2 zenon_H2a2 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.15 apply (zenon_L233_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.15 apply (zenon_L234_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.15 apply (zenon_L278_); trivial.
% 42.92/43.15 apply (zenon_L230_); trivial.
% 42.92/43.15 (* end of lemma zenon_L279_ *)
% 42.92/43.15 assert (zenon_L280_ : ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H32c zenon_H38b zenon_H383.
% 42.92/43.15 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H384 | zenon_intro zenon_H2e5 ].
% 42.92/43.15 cut (((e13) = (e13)) = ((e10) = (e13))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H383.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H384.
% 42.92/43.15 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 42.92/43.15 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H385].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((op1 (e10) (e12)) = (e10)) = ((e13) = (e10))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H385.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H32c.
% 42.92/43.15 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 42.92/43.15 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H38c].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H38c zenon_H38b).
% 42.92/43.15 apply zenon_H27a. apply refl_equal.
% 42.92/43.15 apply zenon_H2e5. apply refl_equal.
% 42.92/43.15 apply zenon_H2e5. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L280_ *)
% 42.92/43.15 assert (zenon_L281_ : (~((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H38d zenon_H38e.
% 42.92/43.15 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H38f].
% 42.92/43.15 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 42.92/43.15 congruence.
% 42.92/43.15 apply zenon_H28c. apply refl_equal.
% 42.92/43.15 apply zenon_H38f. apply sym_equal. exact zenon_H38e.
% 42.92/43.15 (* end of lemma zenon_L281_ *)
% 42.92/43.15 assert (zenon_L282_ : ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2c2 zenon_H38e zenon_H390 zenon_H391.
% 42.92/43.15 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e0 ].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H391.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2df.
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H392].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((op1 (e11) (op1 (e11) (e13))) = (e13)) = ((op1 (e11) (e13)) = (op1 (e10) (e13)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H392.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2c2.
% 42.92/43.15 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 42.92/43.15 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H394].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e0 ].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e13)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H394.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2df.
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 42.92/43.15 congruence.
% 42.92/43.15 apply (zenon_L281_); trivial.
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 apply zenon_H393. apply sym_equal. exact zenon_H390.
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L282_ *)
% 42.92/43.15 assert (zenon_L283_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H395 zenon_H271 zenon_H274 zenon_H2fd zenon_H2a9 zenon_H2a2 zenon_H2de zenon_H285 zenon_H2c2 zenon_H390 zenon_H391.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H2fe | zenon_intro zenon_H396 ].
% 42.92/43.15 apply (zenon_L250_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H387 | zenon_intro zenon_H397 ].
% 42.92/43.15 apply (zenon_L278_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H2dd | zenon_intro zenon_H38e ].
% 42.92/43.15 apply (zenon_L244_); trivial.
% 42.92/43.15 apply (zenon_L282_); trivial.
% 42.92/43.15 (* end of lemma zenon_L283_ *)
% 42.92/43.15 assert (zenon_L284_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H391 zenon_H390 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.15 apply (zenon_L233_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.15 apply (zenon_L234_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.15 apply (zenon_L283_); trivial.
% 42.92/43.15 apply (zenon_L230_); trivial.
% 42.92/43.15 (* end of lemma zenon_L284_ *)
% 42.92/43.15 assert (zenon_L285_ : (~((op1 (op1 (e11) (e11)) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H398 zenon_H26f.
% 42.92/43.15 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 42.92/43.15 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H26e zenon_H26f).
% 42.92/43.15 apply zenon_H28c. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L285_ *)
% 42.92/43.15 assert (zenon_L286_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e11)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H297 zenon_H271 zenon_H29f zenon_H26f.
% 42.92/43.15 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H297.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H271.
% 42.92/43.15 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 42.92/43.15 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2a0].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H281 | zenon_intro zenon_H282 ].
% 42.92/43.15 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e13) = (op1 (e10) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H2a0.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H281.
% 42.92/43.15 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H282].
% 42.92/43.15 cut (((op1 (e10) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2a1].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H2a1 zenon_H29f).
% 42.92/43.15 apply zenon_H282. apply refl_equal.
% 42.92/43.15 apply zenon_H282. apply refl_equal.
% 42.92/43.15 apply (zenon_L285_); trivial.
% 42.92/43.15 (* end of lemma zenon_L286_ *)
% 42.92/43.15 assert (zenon_L287_ : ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H271 zenon_H2a9 zenon_H26f zenon_H2a2.
% 42.92/43.15 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H350 | zenon_intro zenon_H351 ].
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H2a2.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H350.
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e11)) = (op1 (e11) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H399.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H271.
% 42.92/43.15 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 42.92/43.15 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2aa].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H350 | zenon_intro zenon_H351 ].
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e13) = (op1 (e12) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H2aa.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H350.
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 42.92/43.15 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H353 zenon_H2a9).
% 42.92/43.15 apply zenon_H351. apply refl_equal.
% 42.92/43.15 apply zenon_H351. apply refl_equal.
% 42.92/43.15 apply (zenon_L285_); trivial.
% 42.92/43.15 apply zenon_H351. apply refl_equal.
% 42.92/43.15 apply zenon_H351. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L287_ *)
% 42.92/43.15 assert (zenon_L288_ : ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H271 zenon_H28f zenon_H26f zenon_H287.
% 42.92/43.15 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 42.92/43.15 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H287.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H277.
% 42.92/43.15 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 42.92/43.15 cut (((op1 (e13) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H288].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e13) (e11)) = (op1 (e11) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H288.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H271.
% 42.92/43.15 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 42.92/43.15 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H292].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H277 | zenon_intro zenon_H278 ].
% 42.92/43.15 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e13) = (op1 (e13) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H292.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H277.
% 42.92/43.15 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H278].
% 42.92/43.15 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H293].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H293 zenon_H28f).
% 42.92/43.15 apply zenon_H278. apply refl_equal.
% 42.92/43.15 apply zenon_H278. apply refl_equal.
% 42.92/43.15 apply (zenon_L285_); trivial.
% 42.92/43.15 apply zenon_H278. apply refl_equal.
% 42.92/43.15 apply zenon_H278. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L288_ *)
% 42.92/43.15 assert (zenon_L289_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2ae zenon_H297 zenon_H285 zenon_H2a2 zenon_H271 zenon_H26f zenon_H287.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.15 apply (zenon_L286_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.15 apply (zenon_L234_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.15 apply (zenon_L287_); trivial.
% 42.92/43.15 apply (zenon_L288_); trivial.
% 42.92/43.15 (* end of lemma zenon_L289_ *)
% 42.92/43.15 assert (zenon_L290_ : (~((e11) = (e13))) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e10) (e10)) = (e11)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H39a zenon_H360 zenon_H26a.
% 42.92/43.15 cut (((op1 (e10) (e10)) = (e13)) = ((e11) = (e13))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H39a.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H360.
% 42.92/43.15 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 42.92/43.15 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H268].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H268 zenon_H26a).
% 42.92/43.15 apply zenon_H2e5. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L290_ *)
% 42.92/43.15 assert (zenon_L291_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H39b zenon_H26a zenon_H39a zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 42.92/43.15 apply (zenon_L290_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 42.92/43.15 apply (zenon_L233_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 42.92/43.15 apply (zenon_L280_); trivial.
% 42.92/43.15 apply (zenon_L284_); trivial.
% 42.92/43.15 (* end of lemma zenon_L291_ *)
% 42.92/43.15 assert (zenon_L292_ : (((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))))))))) -> (~((op1 (e10) (e10)) = (e12))) -> ((op1 (e10) (e12)) = (e10)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2e6 zenon_H32e zenon_H32c.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2eb. zenon_intro zenon_H2ea.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ed. zenon_intro zenon_H2ec.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ef. zenon_intro zenon_H2ee.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H39f. zenon_intro zenon_H39e.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39f); [ zenon_intro zenon_H32f | zenon_intro zenon_H330 ].
% 42.92/43.15 exact (zenon_H32f zenon_H32c).
% 42.92/43.15 exact (zenon_H32e zenon_H330).
% 42.92/43.15 (* end of lemma zenon_L292_ *)
% 42.92/43.15 assert (zenon_L293_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3a0 zenon_H31b zenon_H303 zenon_H375.
% 42.92/43.15 cut (((op1 (e13) (op1 (e13) (e13))) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3a0.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H31b.
% 42.92/43.15 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a1].
% 42.92/43.15 cut (((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3a2].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H357 | zenon_intro zenon_H358 ].
% 42.92/43.15 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (op1 (e13) (e13))) = (op1 (e13) (e10)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3a2.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H357.
% 42.92/43.15 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H358].
% 42.92/43.15 cut (((op1 (e13) (e10)) = (op1 (e13) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3a3].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3a4].
% 42.92/43.15 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 42.92/43.15 congruence.
% 42.92/43.15 apply zenon_H2e5. apply refl_equal.
% 42.92/43.15 apply zenon_H3a4. apply sym_equal. exact zenon_H303.
% 42.92/43.15 apply zenon_H358. apply refl_equal.
% 42.92/43.15 apply zenon_H358. apply refl_equal.
% 42.92/43.15 apply zenon_H3a1. apply sym_equal. exact zenon_H375.
% 42.92/43.15 (* end of lemma zenon_L293_ *)
% 42.92/43.15 assert (zenon_L294_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3a5 zenon_H360 zenon_H337 zenon_H290 zenon_H285 zenon_H271 zenon_H303 zenon_H31b zenon_H3a0 zenon_H386.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 42.92/43.15 apply (zenon_L268_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 42.92/43.15 apply (zenon_L230_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 42.92/43.15 apply (zenon_L293_); trivial.
% 42.92/43.15 exact (zenon_H386 zenon_H382).
% 42.92/43.15 (* end of lemma zenon_L294_ *)
% 42.92/43.15 assert (zenon_L295_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e13)) = (e13))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H305 zenon_H2f7 zenon_H2fd zenon_H274 zenon_H2c5 zenon_H3a5 zenon_H360 zenon_H337 zenon_H290 zenon_H285 zenon_H271 zenon_H31b zenon_H3a0 zenon_H386.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 42.92/43.15 apply (zenon_L249_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 42.92/43.15 apply (zenon_L250_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 42.92/43.15 apply (zenon_L239_); trivial.
% 42.92/43.15 apply (zenon_L294_); trivial.
% 42.92/43.15 (* end of lemma zenon_L295_ *)
% 42.92/43.15 assert (zenon_L296_ : (~((op1 (op1 (e11) (e11)) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3a8 zenon_H2a9 zenon_H285 zenon_H390.
% 42.92/43.15 cut (((op1 (e12) (e11)) = (e13)) = ((op1 (op1 (e11) (e11)) (e11)) = (op1 (e10) (e13)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3a8.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2a9.
% 42.92/43.15 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 42.92/43.15 cut (((op1 (e12) (e11)) = (op1 (op1 (e11) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3a9].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (op1 (e11) (e11)) (e11)) = (op1 (op1 (e11) (e11)) (e11)))); [ zenon_intro zenon_H3aa | zenon_intro zenon_H3ab ].
% 42.92/43.15 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e11)) = (op1 (op1 (e11) (e11)) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3a9.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H3aa.
% 42.92/43.15 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (op1 (e11) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3ab].
% 42.92/43.15 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 42.92/43.15 congruence.
% 42.92/43.15 apply (zenon_L229_); trivial.
% 42.92/43.15 apply zenon_H3ab. apply refl_equal.
% 42.92/43.15 apply zenon_H3ab. apply refl_equal.
% 42.92/43.15 apply zenon_H393. apply sym_equal. exact zenon_H390.
% 42.92/43.15 (* end of lemma zenon_L296_ *)
% 42.92/43.15 assert (zenon_L297_ : ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H271 zenon_H38e zenon_H2a9 zenon_H390 zenon_H285 zenon_H391.
% 42.92/43.15 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e0 ].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H391.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2df.
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H392].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e11) (e13)) = (op1 (e10) (e13)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H392.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H271.
% 42.92/43.15 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3a8].
% 42.92/43.15 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H38f].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e0 ].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e13) = (op1 (e11) (e13)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H38f.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2df.
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H3ac zenon_H38e).
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 apply (zenon_L296_); trivial.
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L297_ *)
% 42.92/43.15 assert (zenon_L298_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H395 zenon_H274 zenon_H2fd zenon_H3ad zenon_H2de zenon_H271 zenon_H2a9 zenon_H390 zenon_H285 zenon_H391.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H2fe | zenon_intro zenon_H396 ].
% 42.92/43.15 apply (zenon_L250_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H387 | zenon_intro zenon_H397 ].
% 42.92/43.15 exact (zenon_H3ad zenon_H387).
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H2dd | zenon_intro zenon_H38e ].
% 42.92/43.15 apply (zenon_L244_); trivial.
% 42.92/43.15 apply (zenon_L297_); trivial.
% 42.92/43.15 (* end of lemma zenon_L298_ *)
% 42.92/43.15 assert (zenon_L299_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H2a2 zenon_H391 zenon_H390 zenon_H2de zenon_H3ad zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.15 apply (zenon_L233_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.15 apply (zenon_L234_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.15 apply (zenon_L298_); trivial.
% 42.92/43.15 apply (zenon_L230_); trivial.
% 42.92/43.15 (* end of lemma zenon_L299_ *)
% 42.92/43.15 assert (zenon_L300_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> (~((e10) = (e13))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H305 zenon_H2fc zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H382 zenon_H383.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 42.92/43.15 exact (zenon_H2fc zenon_H2f8).
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 42.92/43.15 apply (zenon_L250_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 42.92/43.15 apply (zenon_L239_); trivial.
% 42.92/43.15 apply (zenon_L277_); trivial.
% 42.92/43.15 (* end of lemma zenon_L300_ *)
% 42.92/43.15 assert (zenon_L301_ : (((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H311 zenon_H305 zenon_H337 zenon_H290 zenon_H285 zenon_H3a0 zenon_H3a5 zenon_H2c5 zenon_H2fd zenon_H271 zenon_H274 zenon_H2f7 zenon_H29e zenon_H383 zenon_H32c zenon_H2ae zenon_H2de zenon_H391 zenon_H395 zenon_H2a2 zenon_H39b.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H315. zenon_intro zenon_H314.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H317. zenon_intro zenon_H316.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31d. zenon_intro zenon_H31c.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H321. zenon_intro zenon_H320.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H2fc | zenon_intro zenon_H360 ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H3ad | zenon_intro zenon_H2a3 ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H386 | zenon_intro zenon_H382 ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 42.92/43.15 apply (zenon_L295_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 42.92/43.15 apply (zenon_L233_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 42.92/43.15 apply (zenon_L280_); trivial.
% 42.92/43.15 apply (zenon_L299_); trivial.
% 42.92/43.15 apply (zenon_L300_); trivial.
% 42.92/43.15 apply (zenon_L234_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H386 | zenon_intro zenon_H382 ].
% 42.92/43.15 apply (zenon_L295_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 42.92/43.15 apply (zenon_L249_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 42.92/43.15 apply (zenon_L250_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 42.92/43.15 apply (zenon_L239_); trivial.
% 42.92/43.15 apply (zenon_L277_); trivial.
% 42.92/43.15 (* end of lemma zenon_L301_ *)
% 42.92/43.15 assert (zenon_L302_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3ae zenon_H30a zenon_H342 zenon_H331 zenon_H340 zenon_H297 zenon_H3af zenon_H3b0 zenon_H37f zenon_H372 zenon_H287 zenon_H374 zenon_H301 zenon_H378 zenon_H36e zenon_H36a zenon_H35a zenon_H273 zenon_H354 zenon_H3b1 zenon_H39a zenon_H305 zenon_H337 zenon_H290 zenon_H285 zenon_H3a0 zenon_H3a5 zenon_H2c5 zenon_H2fd zenon_H271 zenon_H274 zenon_H2f7 zenon_H29e zenon_H383 zenon_H2ae zenon_H2de zenon_H391 zenon_H395 zenon_H2a2 zenon_H39b.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.15 apply (zenon_L262_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_H26e | zenon_intro zenon_H26f ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H266 | zenon_intro zenon_H3b8 ].
% 42.92/43.15 exact (zenon_H269 zenon_H266).
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H34e | zenon_intro zenon_H3b9 ].
% 42.92/43.15 apply (zenon_L265_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H369 | zenon_intro zenon_H275 ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3b1); [ zenon_intro zenon_H36f | zenon_intro zenon_H3ba ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3b0); [ zenon_intro zenon_H355 | zenon_intro zenon_H3bb ].
% 42.92/43.15 apply (zenon_L266_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3bb); [ zenon_intro zenon_H275 | zenon_intro zenon_H3bc ].
% 42.92/43.15 apply (zenon_L224_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3bc); [ zenon_intro zenon_H35b | zenon_intro zenon_H303 ].
% 42.92/43.15 apply (zenon_L267_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 42.92/43.15 apply (zenon_L268_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 42.92/43.15 apply (zenon_L230_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 42.92/43.15 apply (zenon_L276_); trivial.
% 42.92/43.15 apply (zenon_L277_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H26f | zenon_intro zenon_H3bd ].
% 42.92/43.15 exact (zenon_H26e zenon_H26f).
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H3be | zenon_intro zenon_H387 ].
% 42.92/43.15 exact (zenon_H3b4 zenon_H3be).
% 42.92/43.15 apply (zenon_L279_); trivial.
% 42.92/43.15 apply (zenon_L224_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 42.92/43.15 apply (zenon_L233_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 42.92/43.15 apply (zenon_L280_); trivial.
% 42.92/43.15 apply (zenon_L284_); trivial.
% 42.92/43.15 apply (zenon_L289_); trivial.
% 42.92/43.15 apply (zenon_L291_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.15 apply (zenon_L292_); trivial.
% 42.92/43.15 apply (zenon_L301_); trivial.
% 42.92/43.15 (* end of lemma zenon_L302_ *)
% 42.92/43.15 assert (zenon_L303_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3bf.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H32c. zenon_intro zenon_H3c0.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H32e. zenon_intro zenon_H3c1.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H3c3. zenon_intro zenon_H3c2.
% 42.92/43.15 exact (zenon_H3c2 zenon_H3c3).
% 42.92/43.15 (* end of lemma zenon_L303_ *)
% 42.92/43.15 assert (zenon_L304_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13)))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3c4 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H301.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H32c. zenon_intro zenon_H3c5.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H32e. zenon_intro zenon_H3c6.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H302. zenon_intro zenon_H3c7.
% 42.92/43.15 apply (zenon_L252_); trivial.
% 42.92/43.15 (* end of lemma zenon_L304_ *)
% 42.92/43.15 assert (zenon_L305_ : (((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3c8.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H2f8. zenon_intro zenon_H3c9.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_H3cb. zenon_intro zenon_H3ca.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 42.92/43.15 exact (zenon_H2fc zenon_H2f8).
% 42.92/43.15 (* end of lemma zenon_L305_ *)
% 42.92/43.15 assert (zenon_L306_ : (((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3cc zenon_H2a2 zenon_H271 zenon_H285.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3cc). zenon_intro zenon_H2f8. zenon_intro zenon_H3cd.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3cd). zenon_intro zenon_H3cb. zenon_intro zenon_H3ce.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ce). zenon_intro zenon_H2a3. zenon_intro zenon_H3ad.
% 42.92/43.15 apply (zenon_L234_); trivial.
% 42.92/43.15 (* end of lemma zenon_L306_ *)
% 42.92/43.15 assert (zenon_L307_ : (((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12)))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3cf zenon_H271 zenon_H285 zenon_H2f4.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3cf). zenon_intro zenon_H2f8. zenon_intro zenon_H3d0.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H3cb. zenon_intro zenon_H3d1.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d1). zenon_intro zenon_H308. zenon_intro zenon_H322.
% 42.92/43.15 apply (zenon_L253_); trivial.
% 42.92/43.15 (* end of lemma zenon_L307_ *)
% 42.92/43.15 assert (zenon_L308_ : (((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3d2.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d2). zenon_intro zenon_H2f8. zenon_intro zenon_H3d3.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d3). zenon_intro zenon_H3cb. zenon_intro zenon_H3d4.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_H382. zenon_intro zenon_H386.
% 42.92/43.15 exact (zenon_H386 zenon_H382).
% 42.92/43.15 (* end of lemma zenon_L308_ *)
% 42.92/43.15 assert (zenon_L309_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3d5.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d5). zenon_intro zenon_H36f. zenon_intro zenon_H3d6.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d6). zenon_intro zenon_H34f. zenon_intro zenon_H259.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H258. zenon_intro zenon_H25a.
% 42.92/43.15 exact (zenon_H25a zenon_H258).
% 42.92/43.15 (* end of lemma zenon_L309_ *)
% 42.92/43.15 assert (zenon_L310_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3d7.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d7). zenon_intro zenon_H36f. zenon_intro zenon_H3d8.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d8). zenon_intro zenon_H34f. zenon_intro zenon_H25d.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H34e. zenon_intro zenon_H3d9.
% 42.92/43.15 exact (zenon_H3d9 zenon_H36f).
% 42.92/43.15 (* end of lemma zenon_L310_ *)
% 42.92/43.15 assert (zenon_L311_ : ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e12) (e10)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H274 zenon_H33f zenon_H303 zenon_H364 zenon_H271 zenon_H3da.
% 42.92/43.15 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2cf ].
% 42.92/43.15 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3da.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2f1.
% 42.92/43.15 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.15 cut (((op1 (e12) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3db].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e12) (e12)) = (op1 (e12) (e10)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3db.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H274.
% 42.92/43.15 cut (((op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H363].
% 42.92/43.15 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3dc].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2cf ].
% 42.92/43.15 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e10) = (op1 (e12) (e12)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3dc.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2f1.
% 42.92/43.15 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.15 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3dd].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H3dd zenon_H33f).
% 42.92/43.15 apply zenon_H2cf. apply refl_equal.
% 42.92/43.15 apply zenon_H2cf. apply refl_equal.
% 42.92/43.15 apply (zenon_L269_); trivial.
% 42.92/43.15 apply zenon_H2cf. apply refl_equal.
% 42.92/43.15 apply zenon_H2cf. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L311_ *)
% 42.92/43.15 assert (zenon_L312_ : (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e12) (e12)) = (e10)) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H37f zenon_H3da zenon_H303 zenon_H33f zenon_H274 zenon_H36f zenon_H36e zenon_H349 zenon_H36a zenon_H271 zenon_H285.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H37f); [ zenon_intro zenon_H364 | zenon_intro zenon_H380 ].
% 42.92/43.15 apply (zenon_L311_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H380); [ zenon_intro zenon_H370 | zenon_intro zenon_H381 ].
% 42.92/43.15 apply (zenon_L271_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H381); [ zenon_intro zenon_H34c | zenon_intro zenon_H37b ].
% 42.92/43.15 exact (zenon_H349 zenon_H34c).
% 42.92/43.15 apply (zenon_L275_); trivial.
% 42.92/43.15 (* end of lemma zenon_L312_ *)
% 42.92/43.15 assert (zenon_L313_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3de zenon_H305 zenon_H2f7 zenon_H2fd zenon_H2c5 zenon_H37f zenon_H3da zenon_H274 zenon_H36e zenon_H36a zenon_H271 zenon_H285.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3de). zenon_intro zenon_H36f. zenon_intro zenon_H3df.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3df). zenon_intro zenon_H34f. zenon_intro zenon_H260.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H33f. zenon_intro zenon_H349.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 42.92/43.15 apply (zenon_L249_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 42.92/43.15 apply (zenon_L250_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 42.92/43.15 apply (zenon_L239_); trivial.
% 42.92/43.15 apply (zenon_L312_); trivial.
% 42.92/43.15 (* end of lemma zenon_L313_ *)
% 42.92/43.15 assert (zenon_L314_ : (((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))))))))) -> (~((op1 (e11) (e11)) = (e10))) -> ((op1 (e11) (e10)) = (e11)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2b1 zenon_H34f zenon_H36f.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H344. zenon_intro zenon_H343.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H346. zenon_intro zenon_H345.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H3d9 | zenon_intro zenon_H34e ].
% 42.92/43.15 exact (zenon_H3d9 zenon_H36f).
% 42.92/43.15 exact (zenon_H34f zenon_H34e).
% 42.92/43.15 (* end of lemma zenon_L314_ *)
% 42.92/43.15 assert (zenon_L315_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H375 zenon_H38b zenon_H3e0.
% 42.92/43.15 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H35d | zenon_intro zenon_H35e ].
% 42.92/43.15 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3e0.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H35d.
% 42.92/43.15 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.15 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e1].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((op1 (e13) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3e1.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H375.
% 42.92/43.15 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e2].
% 42.92/43.15 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.15 congruence.
% 42.92/43.15 apply zenon_H35e. apply refl_equal.
% 42.92/43.15 apply zenon_H3e2. apply sym_equal. exact zenon_H38b.
% 42.92/43.15 apply zenon_H35e. apply refl_equal.
% 42.92/43.15 apply zenon_H35e. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L315_ *)
% 42.92/43.15 assert (zenon_L316_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2fd zenon_H2c2 zenon_H38e zenon_H382.
% 42.92/43.15 cut (((op1 (e11) (op1 (e11) (e13))) = (e13)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H2fd.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2c2.
% 42.92/43.15 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3e3].
% 42.92/43.15 cut (((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H394].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e0 ].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (op1 (e11) (e13))) = (op1 (e11) (e13)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H394.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2df.
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 42.92/43.15 congruence.
% 42.92/43.15 apply (zenon_L281_); trivial.
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 apply zenon_H3e3. apply sym_equal. exact zenon_H382.
% 42.92/43.15 (* end of lemma zenon_L316_ *)
% 42.92/43.15 assert (zenon_L317_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H395 zenon_H271 zenon_H274 zenon_H2a9 zenon_H2a2 zenon_H2de zenon_H285 zenon_H2fd zenon_H2c2 zenon_H382.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H395); [ zenon_intro zenon_H2fe | zenon_intro zenon_H396 ].
% 42.92/43.15 apply (zenon_L250_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H396); [ zenon_intro zenon_H387 | zenon_intro zenon_H397 ].
% 42.92/43.15 apply (zenon_L278_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H397); [ zenon_intro zenon_H2dd | zenon_intro zenon_H38e ].
% 42.92/43.15 apply (zenon_L244_); trivial.
% 42.92/43.15 apply (zenon_L316_); trivial.
% 42.92/43.15 (* end of lemma zenon_L317_ *)
% 42.92/43.15 assert (zenon_L318_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H2c2 zenon_H2fd zenon_H2de zenon_H2a2 zenon_H274 zenon_H395 zenon_H38b zenon_H3e0 zenon_H3e4 zenon_H3a5 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.15 apply (zenon_L233_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.15 apply (zenon_L234_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 42.92/43.15 exact (zenon_H3e4 zenon_H361).
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 42.92/43.15 apply (zenon_L230_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 42.92/43.15 apply (zenon_L315_); trivial.
% 42.92/43.15 apply (zenon_L317_); trivial.
% 42.92/43.15 apply (zenon_L230_); trivial.
% 42.92/43.15 (* end of lemma zenon_L318_ *)
% 42.92/43.15 assert (zenon_L319_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e11)) -> (~((e11) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H39b zenon_H26a zenon_H39a zenon_H3a5 zenon_H3e4 zenon_H3e0 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 42.92/43.15 apply (zenon_L290_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 42.92/43.15 apply (zenon_L233_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 42.92/43.15 apply (zenon_L318_); trivial.
% 42.92/43.15 apply (zenon_L284_); trivial.
% 42.92/43.15 (* end of lemma zenon_L319_ *)
% 42.92/43.15 assert (zenon_L320_ : (((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))))))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((e10) = (e13))) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2e6 zenon_H301 zenon_H3e4 zenon_H290 zenon_H271 zenon_H285 zenon_H383 zenon_H303 zenon_H3a5.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2eb. zenon_intro zenon_H2ea.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ed. zenon_intro zenon_H2ec.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ef. zenon_intro zenon_H2ee.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H39f. zenon_intro zenon_H39e.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H3e6. zenon_intro zenon_H3e5.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3e5). zenon_intro zenon_H3e8. zenon_intro zenon_H3e7.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3e7); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H302 ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 42.92/43.15 exact (zenon_H3e4 zenon_H361).
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 42.92/43.15 apply (zenon_L230_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 42.92/43.15 exact (zenon_H3c7 zenon_H375).
% 42.92/43.15 apply (zenon_L277_); trivial.
% 42.92/43.15 apply (zenon_L251_); trivial.
% 42.92/43.15 (* end of lemma zenon_L320_ *)
% 42.92/43.15 assert (zenon_L321_ : (((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H311 zenon_H383 zenon_H3e4 zenon_H290 zenon_H271 zenon_H285 zenon_H3a0 zenon_H303 zenon_H3a5.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H315. zenon_intro zenon_H314.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H317. zenon_intro zenon_H316.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31d. zenon_intro zenon_H31c.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H321. zenon_intro zenon_H320.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H386 | zenon_intro zenon_H382 ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 42.92/43.15 exact (zenon_H3e4 zenon_H361).
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 42.92/43.15 apply (zenon_L230_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 42.92/43.15 apply (zenon_L293_); trivial.
% 42.92/43.15 exact (zenon_H386 zenon_H382).
% 42.92/43.15 apply (zenon_L277_); trivial.
% 42.92/43.15 (* end of lemma zenon_L321_ *)
% 42.92/43.15 assert (zenon_L322_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3e9 zenon_H30a zenon_H3af zenon_H273 zenon_H37f zenon_H372 zenon_H287 zenon_H374 zenon_H378 zenon_H36e zenon_H274 zenon_H36a zenon_H39b zenon_H391 zenon_H2a2 zenon_H2fd zenon_H2de zenon_H395 zenon_H3e0 zenon_H2ae zenon_H29e zenon_H39a zenon_H301 zenon_H383 zenon_H290 zenon_H271 zenon_H285 zenon_H3a0 zenon_H3a5.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.15 apply (zenon_L314_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H266 | zenon_intro zenon_H3b8 ].
% 42.92/43.15 exact (zenon_H269 zenon_H266).
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H34e | zenon_intro zenon_H3b9 ].
% 42.92/43.15 exact (zenon_H34f zenon_H34e).
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H369 | zenon_intro zenon_H275 ].
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 42.92/43.15 exact (zenon_H3e4 zenon_H361).
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 42.92/43.15 apply (zenon_L230_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 42.92/43.15 apply (zenon_L276_); trivial.
% 42.92/43.15 apply (zenon_L277_); trivial.
% 42.92/43.15 apply (zenon_L224_); trivial.
% 42.92/43.15 apply (zenon_L319_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.15 apply (zenon_L320_); trivial.
% 42.92/43.15 apply (zenon_L321_); trivial.
% 42.92/43.15 (* end of lemma zenon_L322_ *)
% 42.92/43.15 assert (zenon_L323_ : (((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3eb.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3eb). zenon_intro zenon_H26f. zenon_intro zenon_H3ec.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ec). zenon_intro zenon_H26e. zenon_intro zenon_H267.
% 42.92/43.15 exact (zenon_H26e zenon_H26f).
% 42.92/43.15 (* end of lemma zenon_L323_ *)
% 42.92/43.15 assert (zenon_L324_ : (((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3ed.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ed). zenon_intro zenon_H26f. zenon_intro zenon_H3ee.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ee). zenon_intro zenon_H26e. zenon_intro zenon_H26d.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26f. zenon_intro zenon_H26e.
% 42.92/43.15 exact (zenon_H26e zenon_H26f).
% 42.92/43.15 (* end of lemma zenon_L324_ *)
% 42.92/43.15 assert (zenon_L325_ : (((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3ef.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ef). zenon_intro zenon_H26f. zenon_intro zenon_H3f0.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H26e. zenon_intro zenon_H30d.
% 42.92/43.15 exact (zenon_H26e zenon_H26f).
% 42.92/43.15 (* end of lemma zenon_L325_ *)
% 42.92/43.15 assert (zenon_L326_ : (((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3f1.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H26f. zenon_intro zenon_H3f2.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3f2). zenon_intro zenon_H26e. zenon_intro zenon_H329.
% 42.92/43.15 exact (zenon_H26e zenon_H26f).
% 42.92/43.15 (* end of lemma zenon_L326_ *)
% 42.92/43.15 assert (zenon_L327_ : (((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10)))))) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3f3 zenon_H285.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H3be. zenon_intro zenon_H3f4.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3f4). zenon_intro zenon_H28e. zenon_intro zenon_H32d.
% 42.92/43.15 apply zenon_H28e. apply sym_equal. exact zenon_H285.
% 42.92/43.15 (* end of lemma zenon_L327_ *)
% 42.92/43.15 assert (zenon_L328_ : (((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3f5.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3be. zenon_intro zenon_H3f6.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H28e. zenon_intro zenon_H3b3.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 42.92/43.15 exact (zenon_H3b4 zenon_H3be).
% 42.92/43.15 (* end of lemma zenon_L328_ *)
% 42.92/43.15 assert (zenon_L329_ : (((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12)))))) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3f7 zenon_H285.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H3be. zenon_intro zenon_H3f8.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3f8). zenon_intro zenon_H28e. zenon_intro zenon_H3c1.
% 42.92/43.15 apply zenon_H28e. apply sym_equal. exact zenon_H285.
% 42.92/43.15 (* end of lemma zenon_L329_ *)
% 42.92/43.15 assert (zenon_L330_ : (((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13)))))) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3f9 zenon_H285.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H3be. zenon_intro zenon_H3fa.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H28e. zenon_intro zenon_H3c6.
% 42.92/43.15 apply zenon_H28e. apply sym_equal. exact zenon_H285.
% 42.92/43.15 (* end of lemma zenon_L330_ *)
% 42.92/43.15 assert (zenon_L331_ : (((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))))))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2b1 zenon_H2b2 zenon_H360 zenon_H39a zenon_H287 zenon_H27b zenon_H273 zenon_H274 zenon_H294 zenon_H297 zenon_H2ae zenon_H2a2 zenon_H29e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H26a | zenon_intro zenon_H2b8 ].
% 42.92/43.15 apply (zenon_L290_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H27d | zenon_intro zenon_H2b9 ].
% 42.92/43.15 apply (zenon_L231_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H299 | zenon_intro zenon_H2a8 ].
% 42.92/43.15 apply (zenon_L232_); trivial.
% 42.92/43.15 apply (zenon_L236_); trivial.
% 42.92/43.15 (* end of lemma zenon_L331_ *)
% 42.92/43.15 assert (zenon_L332_ : (((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2ba zenon_H2ae zenon_H29e zenon_H387 zenon_H2a2 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 42.92/43.15 apply (zenon_L279_); trivial.
% 42.92/43.15 (* end of lemma zenon_L332_ *)
% 42.92/43.15 assert (zenon_L333_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3fb zenon_H387 zenon_H2cd.
% 42.92/43.15 cut (((op1 (e11) (e13)) = (e11)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3fb.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H387.
% 42.92/43.15 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2ce].
% 42.92/43.15 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0].
% 42.92/43.15 congruence.
% 42.92/43.15 apply zenon_H2e0. apply refl_equal.
% 42.92/43.15 apply zenon_H2ce. apply sym_equal. exact zenon_H2cd.
% 42.92/43.15 (* end of lemma zenon_L333_ *)
% 42.92/43.15 assert (zenon_L334_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2da zenon_H274 zenon_H2c5 zenon_H387 zenon_H3fb zenon_H2d2 zenon_H2d1 zenon_H271 zenon_H285 zenon_H2d6.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2db ].
% 42.92/43.15 apply (zenon_L239_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2dc ].
% 42.92/43.15 apply (zenon_L333_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2d5 ].
% 42.92/43.15 apply (zenon_L241_); trivial.
% 42.92/43.15 apply (zenon_L242_); trivial.
% 42.92/43.15 (* end of lemma zenon_L334_ *)
% 42.92/43.15 assert (zenon_L335_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))))))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H30b zenon_H2d6 zenon_H2d2 zenon_H3fb zenon_H387 zenon_H2da zenon_H2de zenon_H2f4 zenon_H285 zenon_H2e6 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H301.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H312 ].
% 42.92/43.15 apply (zenon_L334_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H2dd | zenon_intro zenon_H313 ].
% 42.92/43.15 apply (zenon_L244_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H302 ].
% 42.92/43.15 apply (zenon_L248_); trivial.
% 42.92/43.15 apply (zenon_L252_); trivial.
% 42.92/43.15 (* end of lemma zenon_L335_ *)
% 42.92/43.15 assert (zenon_L336_ : (((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (~((op1 (e11) (e11)) = (e13))) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H311 zenon_H2a6 zenon_H387.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H315. zenon_intro zenon_H314.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H317. zenon_intro zenon_H316.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31d. zenon_intro zenon_H31c.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H3ad | zenon_intro zenon_H2a3 ].
% 42.92/43.15 exact (zenon_H3ad zenon_H387).
% 42.92/43.15 exact (zenon_H2a6 zenon_H2a3).
% 42.92/43.15 (* end of lemma zenon_L336_ *)
% 42.92/43.15 assert (zenon_L337_ : (((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3fc zenon_H30a zenon_H297 zenon_H294 zenon_H273 zenon_H27b zenon_H287 zenon_H39a zenon_H2b2 zenon_H290 zenon_H2a2 zenon_H29e zenon_H2ae zenon_H301 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H285 zenon_H2f4 zenon_H2de zenon_H2da zenon_H3fb zenon_H2d2 zenon_H2d6 zenon_H30b.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3fc). zenon_intro zenon_H387. zenon_intro zenon_H3fd.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2a6. zenon_intro zenon_H3ca.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.15 apply (zenon_L331_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.15 apply (zenon_L332_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.15 apply (zenon_L335_); trivial.
% 42.92/43.15 apply (zenon_L336_); trivial.
% 42.92/43.15 (* end of lemma zenon_L337_ *)
% 42.92/43.15 assert (zenon_L338_ : (((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H3fe.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3fe). zenon_intro zenon_H387. zenon_intro zenon_H3ff.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H2a6. zenon_intro zenon_H3ce.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3ce). zenon_intro zenon_H2a3. zenon_intro zenon_H3ad.
% 42.92/43.15 exact (zenon_H3ad zenon_H387).
% 42.92/43.15 (* end of lemma zenon_L338_ *)
% 42.92/43.15 assert (zenon_L339_ : (((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12)))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H400 zenon_H271 zenon_H285 zenon_H2f4.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H387. zenon_intro zenon_H401.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H401). zenon_intro zenon_H2a6. zenon_intro zenon_H3d1.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d1). zenon_intro zenon_H308. zenon_intro zenon_H322.
% 42.92/43.15 apply (zenon_L253_); trivial.
% 42.92/43.15 (* end of lemma zenon_L339_ *)
% 42.92/43.15 assert (zenon_L340_ : (((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H402.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H387. zenon_intro zenon_H403.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H2a6. zenon_intro zenon_H3d4.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_H382. zenon_intro zenon_H386.
% 42.92/43.15 exact (zenon_H386 zenon_H382).
% 42.92/43.15 (* end of lemma zenon_L340_ *)
% 42.92/43.15 assert (zenon_L341_ : (((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H404.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H34c. zenon_intro zenon_H405.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H405). zenon_intro zenon_H3dd. zenon_intro zenon_H259.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H258. zenon_intro zenon_H25a.
% 42.92/43.15 exact (zenon_H25a zenon_H258).
% 42.92/43.15 (* end of lemma zenon_L341_ *)
% 42.92/43.15 assert (zenon_L342_ : (((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11)))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H406 zenon_H2ae zenon_H2a2 zenon_H29e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H406). zenon_intro zenon_H34c. zenon_intro zenon_H407.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H407). zenon_intro zenon_H3dd. zenon_intro zenon_H25d.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H34e. zenon_intro zenon_H3d9.
% 42.92/43.15 apply (zenon_L265_); trivial.
% 42.92/43.15 (* end of lemma zenon_L342_ *)
% 42.92/43.15 assert (zenon_L343_ : (((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H408.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H408). zenon_intro zenon_H34c. zenon_intro zenon_H409.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H409). zenon_intro zenon_H3dd. zenon_intro zenon_H260.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H33f. zenon_intro zenon_H349.
% 42.92/43.15 exact (zenon_H349 zenon_H34c).
% 42.92/43.15 (* end of lemma zenon_L343_ *)
% 42.92/43.15 assert (zenon_L344_ : (((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))))))))) -> (~((op1 (e12) (e12)) = (e10))) -> ((op1 (e12) (e10)) = (e12)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H2b1 zenon_H3dd zenon_H34c.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H344. zenon_intro zenon_H343.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H346. zenon_intro zenon_H345.
% 42.92/43.15 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H348. zenon_intro zenon_H347.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_H349 | zenon_intro zenon_H33f ].
% 42.92/43.15 exact (zenon_H349 zenon_H34c).
% 42.92/43.15 exact (zenon_H3dd zenon_H33f).
% 42.92/43.15 (* end of lemma zenon_L344_ *)
% 42.92/43.15 assert (zenon_L345_ : (~((e12) = (e13))) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e10) (e10)) = (e12)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H374 zenon_H360 zenon_H330.
% 42.92/43.15 cut (((op1 (e10) (e10)) = (e13)) = ((e12) = (e13))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H374.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H360.
% 42.92/43.15 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 42.92/43.15 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H32e].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H32e zenon_H330).
% 42.92/43.15 apply zenon_H2e5. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L345_ *)
% 42.92/43.15 assert (zenon_L346_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H39b zenon_H330 zenon_H374 zenon_H3a5 zenon_H3e4 zenon_H3e0 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 42.92/43.15 apply (zenon_L345_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 42.92/43.15 apply (zenon_L233_); trivial.
% 42.92/43.15 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 42.92/43.15 apply (zenon_L318_); trivial.
% 42.92/43.15 apply (zenon_L284_); trivial.
% 42.92/43.15 (* end of lemma zenon_L346_ *)
% 42.92/43.15 assert (zenon_L347_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (e11)) = (e12)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H297 zenon_H285 zenon_H40a.
% 42.92/43.15 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H297.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H285.
% 42.92/43.15 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.92/43.15 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H40b].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H281 | zenon_intro zenon_H282 ].
% 42.92/43.15 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e12) = (op1 (e10) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H40b.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H281.
% 42.92/43.15 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H282].
% 42.92/43.15 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H40c].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H40c zenon_H40a).
% 42.92/43.15 apply zenon_H282. apply refl_equal.
% 42.92/43.15 apply zenon_H282. apply refl_equal.
% 42.92/43.15 apply zenon_H289. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L347_ *)
% 42.92/43.15 assert (zenon_L348_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e10) (e12)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H285 zenon_H40d zenon_H40e.
% 42.92/43.15 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H40f | zenon_intro zenon_H410 ].
% 42.92/43.15 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e11) (e11)) = (op1 (e10) (e12)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H40e.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H40f.
% 42.92/43.15 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H410].
% 42.92/43.15 cut (((op1 (e10) (e12)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H411].
% 42.92/43.15 congruence.
% 42.92/43.15 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e10) (e12)) = (op1 (e11) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H411.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H285.
% 42.92/43.15 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.92/43.15 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H412].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H40f | zenon_intro zenon_H410 ].
% 42.92/43.15 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e12) = (op1 (e10) (e12)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H412.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H40f.
% 42.92/43.15 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H410].
% 42.92/43.15 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H413].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H413 zenon_H40d).
% 42.92/43.15 apply zenon_H410. apply refl_equal.
% 42.92/43.15 apply zenon_H410. apply refl_equal.
% 42.92/43.15 apply zenon_H289. apply refl_equal.
% 42.92/43.15 apply zenon_H410. apply refl_equal.
% 42.92/43.15 apply zenon_H410. apply refl_equal.
% 42.92/43.15 (* end of lemma zenon_L348_ *)
% 42.92/43.15 assert (zenon_L349_ : (~((op1 (e11) (e11)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e10)) = (e12)) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H414 zenon_H40d zenon_H285 zenon_H338.
% 42.92/43.15 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e11) (e11)) = (op1 (e13) (e10)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H414.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H40d.
% 42.92/43.15 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H339].
% 42.92/43.15 cut (((op1 (e10) (e12)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H411].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H289 ].
% 42.92/43.15 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e12)) = (op1 (e11) (e11)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H411.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H2a5.
% 42.92/43.15 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.92/43.15 cut (((op1 (e11) (e11)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40e].
% 42.92/43.15 congruence.
% 42.92/43.15 apply (zenon_L348_); trivial.
% 42.92/43.15 apply zenon_H289. apply refl_equal.
% 42.92/43.15 apply zenon_H289. apply refl_equal.
% 42.92/43.15 apply zenon_H339. apply sym_equal. exact zenon_H338.
% 42.92/43.15 (* end of lemma zenon_L349_ *)
% 42.92/43.15 assert (zenon_L350_ : (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H372 zenon_H34c zenon_H338 zenon_H40d zenon_H285.
% 42.92/43.15 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H372.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H285.
% 42.92/43.15 cut (((op1 (e11) (e11)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H414].
% 42.92/43.15 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H415].
% 42.92/43.15 congruence.
% 42.92/43.15 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H37d | zenon_intro zenon_H373 ].
% 42.92/43.15 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e12) = (op1 (e12) (e10)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H415.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.15 exact zenon_H37d.
% 42.92/43.15 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H373].
% 42.92/43.15 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H349].
% 42.92/43.15 congruence.
% 42.92/43.15 exact (zenon_H349 zenon_H34c).
% 42.92/43.15 apply zenon_H373. apply refl_equal.
% 42.92/43.15 apply zenon_H373. apply refl_equal.
% 42.92/43.15 apply (zenon_L349_); trivial.
% 42.92/43.15 (* end of lemma zenon_L350_ *)
% 42.92/43.15 assert (zenon_L351_ : ((op1 (e13) (e12)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> False).
% 42.92/43.15 do 0 intro. intros zenon_H376 zenon_H285 zenon_H40d zenon_H3e0.
% 42.92/43.15 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H35d | zenon_intro zenon_H35e ].
% 42.92/43.15 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 42.92/43.15 intro zenon_D_pnotp.
% 42.92/43.15 apply zenon_H3e0.
% 42.92/43.15 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H35d.
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e1].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e13) (e12)) = (op1 (e10) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H3e1.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H285.
% 42.92/43.16 cut (((op1 (e11) (e11)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40e].
% 42.92/43.16 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H416].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H35d | zenon_intro zenon_H35e ].
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e12) = (op1 (e13) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H416.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H35d.
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.16 cut (((op1 (e13) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H377].
% 42.92/43.16 congruence.
% 42.92/43.16 exact (zenon_H377 zenon_H376).
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 apply (zenon_L348_); trivial.
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 (* end of lemma zenon_L351_ *)
% 42.92/43.16 assert (zenon_L352_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H378 zenon_H34c zenon_H372 zenon_H287 zenon_H3e0 zenon_H40d zenon_H285 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H301.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 42.92/43.16 apply (zenon_L350_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 42.92/43.16 apply (zenon_L227_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 42.92/43.16 apply (zenon_L351_); trivial.
% 42.92/43.16 apply (zenon_L252_); trivial.
% 42.92/43.16 (* end of lemma zenon_L352_ *)
% 42.92/43.16 assert (zenon_L353_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e13) (e11)) = (e13))) -> ((op1 (e13) (e12)) = (e12)) -> (~((e12) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H3a5 zenon_H3e4 zenon_H293 zenon_H376 zenon_H374 zenon_H395 zenon_H271 zenon_H274 zenon_H2a9 zenon_H2a2 zenon_H2de zenon_H285 zenon_H2fd zenon_H2c2.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 42.92/43.16 exact (zenon_H3e4 zenon_H361).
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 42.92/43.16 exact (zenon_H293 zenon_H28f).
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 42.92/43.16 apply (zenon_L273_); trivial.
% 42.92/43.16 apply (zenon_L317_); trivial.
% 42.92/43.16 (* end of lemma zenon_L353_ *)
% 42.92/43.16 assert (zenon_L354_ : ((op1 (e13) (e13)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H302 zenon_H2d1 zenon_H2f7.
% 42.92/43.16 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H324 | zenon_intro zenon_H325 ].
% 42.92/43.16 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H2f7.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H324.
% 42.92/43.16 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 42.92/43.16 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H417].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((op1 (e13) (e13)) = (e12)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H417.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H302.
% 42.92/43.16 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2d4].
% 42.92/43.16 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 42.92/43.16 congruence.
% 42.92/43.16 apply zenon_H325. apply refl_equal.
% 42.92/43.16 apply zenon_H2d4. apply sym_equal. exact zenon_H2d1.
% 42.92/43.16 apply zenon_H325. apply refl_equal.
% 42.92/43.16 apply zenon_H325. apply refl_equal.
% 42.92/43.16 (* end of lemma zenon_L354_ *)
% 42.92/43.16 assert (zenon_L355_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e13))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H2f7 zenon_H2d1 zenon_H3a5 zenon_H3e4 zenon_H374 zenon_H395 zenon_H271 zenon_H274 zenon_H2a2 zenon_H2de zenon_H285 zenon_H2fd zenon_H2c2 zenon_H287 zenon_H372 zenon_H34c zenon_H378 zenon_H293.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.16 apply (zenon_L233_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.16 apply (zenon_L234_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 42.92/43.16 apply (zenon_L272_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 42.92/43.16 apply (zenon_L227_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 42.92/43.16 apply (zenon_L353_); trivial.
% 42.92/43.16 apply (zenon_L354_); trivial.
% 42.92/43.16 exact (zenon_H293 zenon_H28f).
% 42.92/43.16 (* end of lemma zenon_L355_ *)
% 42.92/43.16 assert (zenon_L356_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H418 zenon_H290 zenon_H395 zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H3e4 zenon_H3a5 zenon_H374 zenon_H39b zenon_H297 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H372 zenon_H34c zenon_H378 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 42.92/43.16 apply (zenon_L346_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 42.92/43.16 apply (zenon_L347_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 42.92/43.16 apply (zenon_L352_); trivial.
% 42.92/43.16 apply (zenon_L256_); trivial.
% 42.92/43.16 (* end of lemma zenon_L356_ *)
% 42.92/43.16 assert (zenon_L357_ : (((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (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)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H41b zenon_H30a zenon_H418 zenon_H372 zenon_H287 zenon_H305 zenon_H2c5 zenon_H2f7 zenon_H378 zenon_H297 zenon_H374 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H395 zenon_H2de zenon_H274 zenon_H2fd zenon_H2a2 zenon_H391 zenon_H39b zenon_H2d2 zenon_H2d6 zenon_H2da zenon_H301 zenon_H383 zenon_H290 zenon_H271 zenon_H285 zenon_H3a0 zenon_H3a5.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H34c. zenon_intro zenon_H41c.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H3dd. zenon_intro zenon_H263.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.16 apply (zenon_L344_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 42.92/43.16 apply (zenon_L346_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 42.92/43.16 apply (zenon_L347_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 42.92/43.16 apply (zenon_L352_); trivial.
% 42.92/43.16 apply (zenon_L355_); trivial.
% 42.92/43.16 apply (zenon_L356_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.16 apply (zenon_L320_); trivial.
% 42.92/43.16 apply (zenon_L321_); trivial.
% 42.92/43.16 (* end of lemma zenon_L357_ *)
% 42.92/43.16 assert (zenon_L358_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H285 zenon_H41f zenon_H2a2.
% 42.92/43.16 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H350 | zenon_intro zenon_H351 ].
% 42.92/43.16 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H2a2.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H350.
% 42.92/43.16 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 42.92/43.16 cut (((op1 (e12) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H399].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e12) (e11)) = (op1 (e11) (e11)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H399.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H285.
% 42.92/43.16 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.92/43.16 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H420].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H350 | zenon_intro zenon_H351 ].
% 42.92/43.16 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e12) = (op1 (e12) (e11)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H420.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H350.
% 42.92/43.16 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H351].
% 42.92/43.16 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H30e].
% 42.92/43.16 congruence.
% 42.92/43.16 exact (zenon_H30e zenon_H41f).
% 42.92/43.16 apply zenon_H351. apply refl_equal.
% 42.92/43.16 apply zenon_H351. apply refl_equal.
% 42.92/43.16 apply zenon_H289. apply refl_equal.
% 42.92/43.16 apply zenon_H351. apply refl_equal.
% 42.92/43.16 apply zenon_H351. apply refl_equal.
% 42.92/43.16 (* end of lemma zenon_L358_ *)
% 42.92/43.16 assert (zenon_L359_ : (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10)))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H421 zenon_H285 zenon_H2a2.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H421). zenon_intro zenon_H41f. zenon_intro zenon_H422.
% 42.92/43.16 apply (zenon_L358_); trivial.
% 42.92/43.16 (* end of lemma zenon_L359_ *)
% 42.92/43.16 assert (zenon_L360_ : (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H423.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H423). zenon_intro zenon_H41f. zenon_intro zenon_H424.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H424). zenon_intro zenon_H425. zenon_intro zenon_H26d.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26f. zenon_intro zenon_H26e.
% 42.92/43.16 exact (zenon_H26e zenon_H26f).
% 42.92/43.16 (* end of lemma zenon_L360_ *)
% 42.92/43.16 assert (zenon_L361_ : (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H426.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H426). zenon_intro zenon_H41f. zenon_intro zenon_H427.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H427). zenon_intro zenon_H425. zenon_intro zenon_H30d.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H2cc. zenon_intro zenon_H30e.
% 42.92/43.16 exact (zenon_H30e zenon_H41f).
% 42.92/43.16 (* end of lemma zenon_L361_ *)
% 42.92/43.16 assert (zenon_L362_ : (((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H428 zenon_H285 zenon_H2a2.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H428). zenon_intro zenon_H41f. zenon_intro zenon_H429.
% 42.92/43.16 apply (zenon_L358_); trivial.
% 42.92/43.16 (* end of lemma zenon_L362_ *)
% 42.92/43.16 assert (zenon_L363_ : (((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H42a.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H42a). zenon_intro zenon_H3c3. zenon_intro zenon_H42b.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H42b). zenon_intro zenon_H3c2. zenon_intro zenon_H32d.
% 42.92/43.16 exact (zenon_H3c2 zenon_H3c3).
% 42.92/43.16 (* end of lemma zenon_L363_ *)
% 42.92/43.16 assert (zenon_L364_ : (((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H42c.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H42c). zenon_intro zenon_H3c3. zenon_intro zenon_H42d.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H42d). zenon_intro zenon_H3c2. zenon_intro zenon_H3b3.
% 42.92/43.16 exact (zenon_H3c2 zenon_H3c3).
% 42.92/43.16 (* end of lemma zenon_L364_ *)
% 42.92/43.16 assert (zenon_L365_ : (((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H42e.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H42e). zenon_intro zenon_H3c3. zenon_intro zenon_H42f.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H42f). zenon_intro zenon_H3c2. zenon_intro zenon_H3c1.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H3c3. zenon_intro zenon_H3c2.
% 42.92/43.16 exact (zenon_H3c2 zenon_H3c3).
% 42.92/43.16 (* end of lemma zenon_L365_ *)
% 42.92/43.16 assert (zenon_L366_ : (((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H430.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H430). zenon_intro zenon_H3c3. zenon_intro zenon_H431.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H431). zenon_intro zenon_H3c2. zenon_intro zenon_H3c6.
% 42.92/43.16 exact (zenon_H3c2 zenon_H3c3).
% 42.92/43.16 (* end of lemma zenon_L366_ *)
% 42.92/43.16 assert (zenon_L367_ : (~((e10) = (e13))) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e10) (e10)) = (e10)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H383 zenon_H360 zenon_H258.
% 42.92/43.16 cut (((op1 (e10) (e10)) = (e13)) = ((e10) = (e13))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H383.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H360.
% 42.92/43.16 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 42.92/43.16 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H25a].
% 42.92/43.16 congruence.
% 42.92/43.16 exact (zenon_H25a zenon_H258).
% 42.92/43.16 apply zenon_H2e5. apply refl_equal.
% 42.92/43.16 (* end of lemma zenon_L367_ *)
% 42.92/43.16 assert (zenon_L368_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (op1 (e11) (e11))) = (e11)) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e12) (e12)) = (e11)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H432 zenon_H2be zenon_H285 zenon_H2cc.
% 42.92/43.16 cut (((op1 (e11) (op1 (e11) (e11))) = (e11)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H432.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H2be.
% 42.92/43.16 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H433].
% 42.92/43.16 cut (((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H434].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H435 | zenon_intro zenon_H436 ].
% 42.92/43.16 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (op1 (e11) (e11))) = (op1 (e11) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H434.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H435.
% 42.92/43.16 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 42.92/43.16 cut (((op1 (e11) (e12)) = (op1 (e11) (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H437].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((e12) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29a].
% 42.92/43.16 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 42.92/43.16 congruence.
% 42.92/43.16 apply zenon_H28c. apply refl_equal.
% 42.92/43.16 exact (zenon_H29a zenon_H285).
% 42.92/43.16 apply zenon_H436. apply refl_equal.
% 42.92/43.16 apply zenon_H436. apply refl_equal.
% 42.92/43.16 apply zenon_H433. apply sym_equal. exact zenon_H2cc.
% 42.92/43.16 (* end of lemma zenon_L368_ *)
% 42.92/43.16 assert (zenon_L369_ : ((op1 (e12) (e12)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H3c3 zenon_H285 zenon_H40d zenon_H340.
% 42.92/43.16 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2cf ].
% 42.92/43.16 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H340.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H2f1.
% 42.92/43.16 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.16 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H341].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H341.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H285.
% 42.92/43.16 cut (((op1 (e11) (e11)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H40e].
% 42.92/43.16 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H438].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2cf ].
% 42.92/43.16 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e12) = (op1 (e12) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H438.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H2f1.
% 42.92/43.16 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf].
% 42.92/43.16 cut (((op1 (e12) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H3c2].
% 42.92/43.16 congruence.
% 42.92/43.16 exact (zenon_H3c2 zenon_H3c3).
% 42.92/43.16 apply zenon_H2cf. apply refl_equal.
% 42.92/43.16 apply zenon_H2cf. apply refl_equal.
% 42.92/43.16 apply (zenon_L348_); trivial.
% 42.92/43.16 apply zenon_H2cf. apply refl_equal.
% 42.92/43.16 apply zenon_H2cf. apply refl_equal.
% 42.92/43.16 (* end of lemma zenon_L369_ *)
% 42.92/43.16 assert (zenon_L370_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H418 zenon_H360 zenon_H374 zenon_H297 zenon_H340 zenon_H285 zenon_H3c3 zenon_H2d0 zenon_H2d2.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 42.92/43.16 apply (zenon_L345_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 42.92/43.16 apply (zenon_L347_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 42.92/43.16 apply (zenon_L369_); trivial.
% 42.92/43.16 apply (zenon_L241_); trivial.
% 42.92/43.16 (* end of lemma zenon_L370_ *)
% 42.92/43.16 assert (zenon_L371_ : (((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (~((op1 (e12) (e12)) = (e13))) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H311 zenon_H2e7 zenon_H2d0.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H315. zenon_intro zenon_H314.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H317. zenon_intro zenon_H316.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31d. zenon_intro zenon_H31c.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H321. zenon_intro zenon_H320.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H322 | zenon_intro zenon_H308 ].
% 42.92/43.16 exact (zenon_H322 zenon_H2d0).
% 42.92/43.16 exact (zenon_H2e7 zenon_H308).
% 42.92/43.16 (* end of lemma zenon_L371_ *)
% 42.92/43.16 assert (zenon_L372_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e10) = (e13))) -> (~((e11) = (e13))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H439 zenon_H30a zenon_H290 zenon_H271 zenon_H29e zenon_H2a2 zenon_H2ae zenon_H294 zenon_H274 zenon_H273 zenon_H27b zenon_H287 zenon_H2b2 zenon_H43a zenon_H340 zenon_H432 zenon_H285 zenon_H418 zenon_H2d2 zenon_H297 zenon_H374 zenon_H43b zenon_H383 zenon_H39a.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.16 apply (zenon_L331_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H258 | zenon_intro zenon_H43d ].
% 42.92/43.16 apply (zenon_L367_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H43d); [ zenon_intro zenon_H266 | zenon_intro zenon_H43e ].
% 42.92/43.16 exact (zenon_H269 zenon_H266).
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H32c | zenon_intro zenon_H2f8 ].
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H33f | zenon_intro zenon_H43f ].
% 42.92/43.16 apply (zenon_L261_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H2cc | zenon_intro zenon_H440 ].
% 42.92/43.16 apply (zenon_L368_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H308 ].
% 42.92/43.16 apply (zenon_L370_); trivial.
% 42.92/43.16 exact (zenon_H2e7 zenon_H308).
% 42.92/43.16 exact (zenon_H2fc zenon_H2f8).
% 42.92/43.16 apply (zenon_L290_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.16 apply (zenon_L247_); trivial.
% 42.92/43.16 apply (zenon_L371_); trivial.
% 42.92/43.16 (* end of lemma zenon_L372_ *)
% 42.92/43.16 assert (zenon_L373_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H441 zenon_H2a2 zenon_H271 zenon_H285.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H441). zenon_intro zenon_H2d0. zenon_intro zenon_H442.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H442). zenon_intro zenon_H2e7. zenon_intro zenon_H3ce.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H3ce). zenon_intro zenon_H2a3. zenon_intro zenon_H3ad.
% 42.92/43.16 apply (zenon_L234_); trivial.
% 42.92/43.16 (* end of lemma zenon_L373_ *)
% 42.92/43.16 assert (zenon_L374_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H443.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H443). zenon_intro zenon_H2d0. zenon_intro zenon_H444.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H444). zenon_intro zenon_H2e7. zenon_intro zenon_H3d1.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H3d1). zenon_intro zenon_H308. zenon_intro zenon_H322.
% 42.92/43.16 exact (zenon_H322 zenon_H2d0).
% 42.92/43.16 (* end of lemma zenon_L374_ *)
% 42.92/43.16 assert (zenon_L375_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H445.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H445). zenon_intro zenon_H2d0. zenon_intro zenon_H446.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H446). zenon_intro zenon_H2e7. zenon_intro zenon_H3d4.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_H382. zenon_intro zenon_H386.
% 42.92/43.16 exact (zenon_H386 zenon_H382).
% 42.92/43.16 (* end of lemma zenon_L375_ *)
% 42.92/43.16 assert (zenon_L376_ : (((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H447.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H447). zenon_intro zenon_H361. zenon_intro zenon_H448.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H448). zenon_intro zenon_H304. zenon_intro zenon_H259.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H258. zenon_intro zenon_H25a.
% 42.92/43.16 exact (zenon_H25a zenon_H258).
% 42.92/43.16 (* end of lemma zenon_L376_ *)
% 42.92/43.16 assert (zenon_L377_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e13)) = (e10))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H304.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 42.92/43.16 apply (zenon_L249_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 42.92/43.16 apply (zenon_L250_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 42.92/43.16 apply (zenon_L239_); trivial.
% 42.92/43.16 exact (zenon_H304 zenon_H303).
% 42.92/43.16 (* end of lemma zenon_L377_ *)
% 42.92/43.16 assert (zenon_L378_ : (((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11)))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H449 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H449). zenon_intro zenon_H361. zenon_intro zenon_H44a.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H44a). zenon_intro zenon_H304. zenon_intro zenon_H25d.
% 42.92/43.16 apply (zenon_L377_); trivial.
% 42.92/43.16 (* end of lemma zenon_L378_ *)
% 42.92/43.16 assert (zenon_L379_ : (((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12)))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H44b zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H44b). zenon_intro zenon_H361. zenon_intro zenon_H44c.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H44c). zenon_intro zenon_H304. zenon_intro zenon_H260.
% 42.92/43.16 apply (zenon_L377_); trivial.
% 42.92/43.16 (* end of lemma zenon_L379_ *)
% 42.92/43.16 assert (zenon_L380_ : (((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H44d.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H44d). zenon_intro zenon_H361. zenon_intro zenon_H44e.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H44e). zenon_intro zenon_H304. zenon_intro zenon_H263.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 42.92/43.16 exact (zenon_H3e4 zenon_H361).
% 42.92/43.16 (* end of lemma zenon_L380_ *)
% 42.92/43.16 assert (zenon_L381_ : (((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10)))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H44f zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H44f). zenon_intro zenon_H28f. zenon_intro zenon_H450.
% 42.92/43.16 apply (zenon_L230_); trivial.
% 42.92/43.16 (* end of lemma zenon_L381_ *)
% 42.92/43.16 assert (zenon_L382_ : (((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H451.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H451). zenon_intro zenon_H28f. zenon_intro zenon_H452.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H452). zenon_intro zenon_H453. zenon_intro zenon_H26d.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H26f. zenon_intro zenon_H26e.
% 42.92/43.16 exact (zenon_H26e zenon_H26f).
% 42.92/43.16 (* end of lemma zenon_L382_ *)
% 42.92/43.16 assert (zenon_L383_ : (((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12)))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H454 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H454). zenon_intro zenon_H28f. zenon_intro zenon_H455.
% 42.92/43.16 apply (zenon_L230_); trivial.
% 42.92/43.16 (* end of lemma zenon_L383_ *)
% 42.92/43.16 assert (zenon_L384_ : (((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H456.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H456). zenon_intro zenon_H28f. zenon_intro zenon_H457.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H457). zenon_intro zenon_H453. zenon_intro zenon_H329.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H323. zenon_intro zenon_H293.
% 42.92/43.16 exact (zenon_H293 zenon_H28f).
% 42.92/43.16 (* end of lemma zenon_L384_ *)
% 42.92/43.16 assert (zenon_L385_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H378 zenon_H330 zenon_H337 zenon_H287 zenon_H3e0 zenon_H40d zenon_H285 zenon_H458.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 42.92/43.16 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H337.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H285.
% 42.92/43.16 cut (((op1 (e11) (e11)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H414].
% 42.92/43.16 cut (((e12) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H459].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H33b | zenon_intro zenon_H33c ].
% 42.92/43.16 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e12) = (op1 (e10) (e10)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H459.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H33b.
% 42.92/43.16 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 42.92/43.16 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H32e].
% 42.92/43.16 congruence.
% 42.92/43.16 exact (zenon_H32e zenon_H330).
% 42.92/43.16 apply zenon_H33c. apply refl_equal.
% 42.92/43.16 apply zenon_H33c. apply refl_equal.
% 42.92/43.16 apply (zenon_L349_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 42.92/43.16 apply (zenon_L227_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 42.92/43.16 apply (zenon_L351_); trivial.
% 42.92/43.16 exact (zenon_H458 zenon_H302).
% 42.92/43.16 (* end of lemma zenon_L385_ *)
% 42.92/43.16 assert (zenon_L386_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H285 zenon_H45a zenon_H45b.
% 42.92/43.16 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H435 | zenon_intro zenon_H436 ].
% 42.92/43.16 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H45b.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H435.
% 42.92/43.16 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 42.92/43.16 cut (((op1 (e11) (e12)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H45c].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e11) (e12)) = (op1 (e11) (e11)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H45c.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H285.
% 42.92/43.16 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 42.92/43.16 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H45d].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H435 | zenon_intro zenon_H436 ].
% 42.92/43.16 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e12) = (op1 (e11) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H45d.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H435.
% 42.92/43.16 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 42.92/43.16 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H45e].
% 42.92/43.16 congruence.
% 42.92/43.16 exact (zenon_H45e zenon_H45a).
% 42.92/43.16 apply zenon_H436. apply refl_equal.
% 42.92/43.16 apply zenon_H436. apply refl_equal.
% 42.92/43.16 apply zenon_H289. apply refl_equal.
% 42.92/43.16 apply zenon_H436. apply refl_equal.
% 42.92/43.16 apply zenon_H436. apply refl_equal.
% 42.92/43.16 (* end of lemma zenon_L386_ *)
% 42.92/43.16 assert (zenon_L387_ : (~((op1 (op1 (e11) (e11)) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H45f zenon_H2a3.
% 42.92/43.16 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 42.92/43.16 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2a6].
% 42.92/43.16 congruence.
% 42.92/43.16 exact (zenon_H2a6 zenon_H2a3).
% 42.92/43.16 apply zenon_H28c. apply refl_equal.
% 42.92/43.16 (* end of lemma zenon_L387_ *)
% 42.92/43.16 assert (zenon_L388_ : ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e11) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H271 zenon_H375 zenon_H2a3 zenon_H460.
% 42.92/43.16 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H35d | zenon_intro zenon_H35e ].
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H460.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H35d.
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H461].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e13) (e12)) = (op1 (e13) (e11)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H461.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H271.
% 42.92/43.16 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H45f].
% 42.92/43.16 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a1].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H35d | zenon_intro zenon_H35e ].
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e13) = (op1 (e13) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H3a1.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H35d.
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.16 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3c7].
% 42.92/43.16 congruence.
% 42.92/43.16 exact (zenon_H3c7 zenon_H375).
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 apply (zenon_L387_); trivial.
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 (* end of lemma zenon_L388_ *)
% 42.92/43.16 assert (zenon_L389_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H460 zenon_H375 zenon_H391 zenon_H390 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.16 apply (zenon_L233_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.16 apply (zenon_L388_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.16 apply (zenon_L283_); trivial.
% 42.92/43.16 apply (zenon_L230_); trivial.
% 42.92/43.16 (* end of lemma zenon_L389_ *)
% 42.92/43.16 assert (zenon_L390_ : (((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))))))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H2ba zenon_H39b zenon_H330 zenon_H374 zenon_H3e0 zenon_H2ae zenon_H29e zenon_H460 zenon_H375 zenon_H391 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 42.92/43.16 apply (zenon_L345_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 42.92/43.16 apply (zenon_L233_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 42.92/43.16 apply (zenon_L315_); trivial.
% 42.92/43.16 apply (zenon_L389_); trivial.
% 42.92/43.16 (* end of lemma zenon_L390_ *)
% 42.92/43.16 assert (zenon_L391_ : (((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12)))))))))) -> (~((op1 (e13) (e13)) = (e12))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H2e6 zenon_H458 zenon_H375.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2eb. zenon_intro zenon_H2ea.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ed. zenon_intro zenon_H2ec.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ef. zenon_intro zenon_H2ee.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H39f. zenon_intro zenon_H39e.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H3e6. zenon_intro zenon_H3e5.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H3e5). zenon_intro zenon_H3e8. zenon_intro zenon_H3e7.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H3e7); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H302 ].
% 42.92/43.16 exact (zenon_H3c7 zenon_H375).
% 42.92/43.16 exact (zenon_H458 zenon_H302).
% 42.92/43.16 (* end of lemma zenon_L391_ *)
% 42.92/43.16 assert (zenon_L392_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (op1 (e13) (e13))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0 zenon_H31b zenon_H375.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 42.92/43.16 apply (zenon_L249_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 42.92/43.16 apply (zenon_L250_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 42.92/43.16 apply (zenon_L239_); trivial.
% 42.92/43.16 apply (zenon_L293_); trivial.
% 42.92/43.16 (* end of lemma zenon_L392_ *)
% 42.92/43.16 assert (zenon_L393_ : (((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13)))))))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H311 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0 zenon_H375.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H315. zenon_intro zenon_H314.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H317. zenon_intro zenon_H316.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a.
% 42.92/43.16 apply (zenon_L392_); trivial.
% 42.92/43.16 (* end of lemma zenon_L393_ *)
% 42.92/43.16 assert (zenon_L394_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H462 zenon_H30a zenon_H463 zenon_H297 zenon_H340 zenon_H45b zenon_H378 zenon_H337 zenon_H287 zenon_H464 zenon_H290 zenon_H285 zenon_H395 zenon_H2a2 zenon_H2de zenon_H391 zenon_H460 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H374 zenon_H39b zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H40d | zenon_intro zenon_H466 ].
% 42.92/43.16 apply (zenon_L385_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H466); [ zenon_intro zenon_H45a | zenon_intro zenon_H467 ].
% 42.92/43.16 apply (zenon_L386_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H376 ].
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H32c | zenon_intro zenon_H468 ].
% 42.92/43.16 exact (zenon_H32f zenon_H32c).
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H299 | zenon_intro zenon_H469 ].
% 42.92/43.16 apply (zenon_L232_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H40d | zenon_intro zenon_H38b ].
% 42.92/43.16 apply (zenon_L369_); trivial.
% 42.92/43.16 apply (zenon_L315_); trivial.
% 42.92/43.16 apply (zenon_L273_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.16 apply (zenon_L390_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.16 apply (zenon_L391_); trivial.
% 42.92/43.16 apply (zenon_L393_); trivial.
% 42.92/43.16 (* end of lemma zenon_L394_ *)
% 42.92/43.16 assert (zenon_L395_ : (~((h2 (e10)) = (e20))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H46a zenon_H46b zenon_H30.
% 42.92/43.16 cut (((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((h2 (e10)) = (e20))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H46a.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H46b.
% 42.92/43.16 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H46c].
% 42.92/43.16 cut (((h2 (e10)) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H46d].
% 42.92/43.16 congruence.
% 42.92/43.16 apply zenon_H46d. apply refl_equal.
% 42.92/43.16 apply zenon_H46c. apply sym_equal. exact zenon_H30.
% 42.92/43.16 (* end of lemma zenon_L395_ *)
% 42.92/43.16 assert (zenon_L396_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H2ae zenon_H460 zenon_H375 zenon_H2a8 zenon_H2a7 zenon_H29e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.16 apply (zenon_L233_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.16 apply (zenon_L388_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.16 apply (zenon_L235_); trivial.
% 42.92/43.16 apply (zenon_L230_); trivial.
% 42.92/43.16 (* end of lemma zenon_L396_ *)
% 42.92/43.16 assert (zenon_L397_ : (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H46e zenon_H2c0 zenon_H46f zenon_H338.
% 42.92/43.16 cut (((op1 (e11) (op1 (e11) (e12))) = (e12)) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H46e.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H2c0.
% 42.92/43.16 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H339].
% 42.92/43.16 cut (((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H470].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H334 | zenon_intro zenon_H335 ].
% 42.92/43.16 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (op1 (e11) (e12))) = (op1 (e11) (e10)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H470.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H334.
% 42.92/43.16 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H335].
% 42.92/43.16 cut (((op1 (e11) (e10)) = (op1 (e11) (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H471].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H472].
% 42.92/43.16 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 42.92/43.16 congruence.
% 42.92/43.16 apply zenon_H28c. apply refl_equal.
% 42.92/43.16 apply zenon_H472. apply sym_equal. exact zenon_H46f.
% 42.92/43.16 apply zenon_H335. apply refl_equal.
% 42.92/43.16 apply zenon_H335. apply refl_equal.
% 42.92/43.16 apply zenon_H339. apply sym_equal. exact zenon_H338.
% 42.92/43.16 (* end of lemma zenon_L397_ *)
% 42.92/43.16 assert (zenon_L398_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H375 zenon_H473 zenon_H474.
% 42.92/43.16 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H35d | zenon_intro zenon_H35e ].
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H474.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H35d.
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H475].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((op1 (e13) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e11) (e12)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H475.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H375.
% 42.92/43.16 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H476].
% 42.92/43.16 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.16 congruence.
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 apply zenon_H476. apply sym_equal. exact zenon_H473.
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 apply zenon_H35e. apply refl_equal.
% 42.92/43.16 (* end of lemma zenon_L398_ *)
% 42.92/43.16 assert (zenon_L399_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e11) (op1 (e11) (e12))) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H477 zenon_H338 zenon_H2c0 zenon_H46e zenon_H3b4 zenon_H45b zenon_H285 zenon_H375 zenon_H474.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H477); [ zenon_intro zenon_H46f | zenon_intro zenon_H478 ].
% 42.92/43.16 apply (zenon_L397_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H478); [ zenon_intro zenon_H3be | zenon_intro zenon_H479 ].
% 42.92/43.16 exact (zenon_H3b4 zenon_H3be).
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H479); [ zenon_intro zenon_H45a | zenon_intro zenon_H473 ].
% 42.92/43.16 apply (zenon_L386_); trivial.
% 42.92/43.16 apply (zenon_L398_); trivial.
% 42.92/43.16 (* end of lemma zenon_L399_ *)
% 42.92/43.16 assert (zenon_L400_ : (((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (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) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H2ba zenon_H378 zenon_H474 zenon_H45b zenon_H3b4 zenon_H46e zenon_H477 zenon_H287 zenon_H285 zenon_H375 zenon_H374 zenon_H458.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 42.92/43.16 apply (zenon_L399_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 42.92/43.16 apply (zenon_L227_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 42.92/43.16 apply (zenon_L273_); trivial.
% 42.92/43.16 exact (zenon_H458 zenon_H302).
% 42.92/43.16 (* end of lemma zenon_L400_ *)
% 42.92/43.16 assert (zenon_L401_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H47a.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H375. zenon_intro zenon_H47b.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H47b). zenon_intro zenon_H458. zenon_intro zenon_H3c1.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H3c3. zenon_intro zenon_H3c2.
% 42.92/43.16 exact (zenon_H3c2 zenon_H3c3).
% 42.92/43.16 (* end of lemma zenon_L401_ *)
% 42.92/43.16 assert (zenon_L402_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H47c.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_H375. zenon_intro zenon_H47d.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H458. zenon_intro zenon_H3c6.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H3c6). zenon_intro zenon_H302. zenon_intro zenon_H3c7.
% 42.92/43.16 exact (zenon_H3c7 zenon_H375).
% 42.92/43.16 (* end of lemma zenon_L402_ *)
% 42.92/43.16 assert (zenon_L403_ : (((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H47e.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H382. zenon_intro zenon_H47f.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H47f). zenon_intro zenon_H386. zenon_intro zenon_H3ca.
% 42.92/43.16 exact (zenon_H386 zenon_H382).
% 42.92/43.16 (* end of lemma zenon_L403_ *)
% 42.92/43.16 assert (zenon_L404_ : (((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H480.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H480). zenon_intro zenon_H382. zenon_intro zenon_H481.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_H386. zenon_intro zenon_H3ce.
% 42.92/43.16 exact (zenon_H386 zenon_H382).
% 42.92/43.16 (* end of lemma zenon_L404_ *)
% 42.92/43.16 assert (zenon_L405_ : (((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H482.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H382. zenon_intro zenon_H483.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H386. zenon_intro zenon_H3d1.
% 42.92/43.16 exact (zenon_H386 zenon_H382).
% 42.92/43.16 (* end of lemma zenon_L405_ *)
% 42.92/43.16 assert (zenon_L406_ : (((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H484.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H484). zenon_intro zenon_H382. zenon_intro zenon_H485.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H485). zenon_intro zenon_H386. zenon_intro zenon_H3d4.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_H382. zenon_intro zenon_H386.
% 42.92/43.16 exact (zenon_H386 zenon_H382).
% 42.92/43.16 (* end of lemma zenon_L406_ *)
% 42.92/43.16 assert (zenon_L407_ : (~((op2 (op2 (e21) (e21)) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H486 zenon_H65 zenon_H41 zenon_H137.
% 42.92/43.16 cut (((op2 (e22) (e21)) = (e23)) = ((op2 (op2 (e21) (e21)) (e21)) = (op2 (e23) (e22)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H486.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H65.
% 42.92/43.16 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 42.92/43.16 cut (((op2 (e22) (e21)) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op2 (op2 (e21) (e21)) (e21)) = (op2 (op2 (e21) (e21)) (e21)))); [ zenon_intro zenon_He7 | zenon_intro zenon_He8 ].
% 42.92/43.16 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e21)) = (op2 (op2 (e21) (e21)) (e21)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_He6.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_He7.
% 42.92/43.16 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 42.92/43.16 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 42.92/43.16 congruence.
% 42.92/43.16 apply (zenon_L13_); trivial.
% 42.92/43.16 apply zenon_He8. apply refl_equal.
% 42.92/43.16 apply zenon_He8. apply refl_equal.
% 42.92/43.16 apply zenon_H1bc. apply sym_equal. exact zenon_H137.
% 42.92/43.16 (* end of lemma zenon_L407_ *)
% 42.92/43.16 assert (zenon_L408_ : (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H487 zenon_H2d zenon_H13b zenon_H65 zenon_H137 zenon_H41.
% 42.92/43.16 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e21) (e22)) = (op2 (e23) (e22)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H487.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H2d.
% 42.92/43.16 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H486].
% 42.92/43.16 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H13e].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ].
% 42.92/43.16 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e23) = (op2 (e21) (e22)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H13e.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_Hfb.
% 42.92/43.16 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 42.92/43.16 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 42.92/43.16 congruence.
% 42.92/43.16 exact (zenon_H13f zenon_H13b).
% 42.92/43.16 apply zenon_Hfc. apply refl_equal.
% 42.92/43.16 apply zenon_Hfc. apply refl_equal.
% 42.92/43.16 apply (zenon_L407_); trivial.
% 42.92/43.16 (* end of lemma zenon_L408_ *)
% 42.92/43.16 assert (zenon_L409_ : (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H488 zenon_Hb8 zenon_H7c zenon_H1ec zenon_H1a6 zenon_Hfa zenon_H487 zenon_H2d zenon_H65 zenon_H137 zenon_H41.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H488); [ zenon_intro zenon_H1ed | zenon_intro zenon_H489 ].
% 42.92/43.16 apply (zenon_L144_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H489); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H48a ].
% 42.92/43.16 exact (zenon_H1a6 zenon_H1a9).
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H48a); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H13b ].
% 42.92/43.16 apply (zenon_L52_); trivial.
% 42.92/43.16 apply (zenon_L408_); trivial.
% 42.92/43.16 (* end of lemma zenon_L409_ *)
% 42.92/43.16 assert (zenon_L410_ : (((op2 (e21) (op2 (e21) (e20))) = (e20))/\(((op2 (e21) (op2 (e21) (e21))) = (e21))/\(((op2 (e21) (op2 (e21) (e22))) = (e22))/\(((op2 (e21) (op2 (e21) (e23))) = (e23))/\(((~((op2 (e20) (e21)) = (e20)))\/((op2 (e20) (e20)) = (e21)))/\(((~((op2 (e21) (e21)) = (e21)))\/((op2 (e21) (e21)) = (e21)))/\(((~((op2 (e22) (e21)) = (e22)))\/((op2 (e22) (e22)) = (e21)))/\((~((op2 (e23) (e21)) = (e23)))\/((op2 (e23) (e23)) = (e21)))))))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((e22) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H76 zenon_H6a zenon_H5a zenon_H252 zenon_Hf2 zenon_H82 zenon_H137 zenon_H43 zenon_H488 zenon_H1ec zenon_H1a6 zenon_Hfa zenon_H487 zenon_Hf3 zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.16 apply (zenon_L17_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.16 apply (zenon_L213_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.16 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.16 apply (zenon_L409_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.16 apply (zenon_L11_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.16 apply (zenon_L79_); trivial.
% 42.92/43.16 exact (zenon_Hf2 zenon_Hee).
% 42.92/43.16 apply (zenon_L14_); trivial.
% 42.92/43.16 (* end of lemma zenon_L410_ *)
% 42.92/43.16 assert (zenon_L411_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e22) (e22)) = (e22))/\(~((op2 (e22) (e22)) = (e22)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H48b.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H48b). zenon_intro zenon_H137. zenon_intro zenon_H48c.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_Hf2. zenon_intro zenon_H1cc.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H1cc). zenon_intro zenon_H104. zenon_intro zenon_H101.
% 42.92/43.16 exact (zenon_H101 zenon_H104).
% 42.92/43.16 (* end of lemma zenon_L411_ *)
% 42.92/43.16 assert (zenon_L412_ : (((op2 (e23) (e22)) = (e23))/\((~((op2 (e23) (e23)) = (e22)))/\(((op2 (e23) (e23)) = (e22))/\(~((op2 (e23) (e22)) = (e23)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H48d.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H48d). zenon_intro zenon_H137. zenon_intro zenon_H48e.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H48e). zenon_intro zenon_Hf2. zenon_intro zenon_H1cf.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H1cf). zenon_intro zenon_Hee. zenon_intro zenon_H132.
% 42.92/43.16 exact (zenon_H132 zenon_H137).
% 42.92/43.16 (* end of lemma zenon_L412_ *)
% 42.92/43.16 assert (zenon_L413_ : (((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (e23)) = (e23)))/\(((op2 (e20) (e20)) = (e23))/\(~((op2 (e20) (e23)) = (e20)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H48f.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H12b. zenon_intro zenon_H490.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H12f. zenon_intro zenon_H1d2.
% 42.92/43.16 exact (zenon_H12f zenon_H12b).
% 42.92/43.16 (* end of lemma zenon_L413_ *)
% 42.92/43.16 assert (zenon_L414_ : (((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (e23)) = (e23)))/\(((op2 (e21) (e21)) = (e23))/\(~((op2 (e21) (e23)) = (e21)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H491.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H491). zenon_intro zenon_H12b. zenon_intro zenon_H492.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H492). zenon_intro zenon_H12f. zenon_intro zenon_H1d6.
% 42.92/43.16 exact (zenon_H12f zenon_H12b).
% 42.92/43.16 (* end of lemma zenon_L414_ *)
% 42.92/43.16 assert (zenon_L415_ : (((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (e23)) = (e23)))/\(((op2 (e22) (e22)) = (e23))/\(~((op2 (e22) (e23)) = (e22)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H493.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H493). zenon_intro zenon_H12b. zenon_intro zenon_H494.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H494). zenon_intro zenon_H12f. zenon_intro zenon_H1d9.
% 42.92/43.16 exact (zenon_H12f zenon_H12b).
% 42.92/43.16 (* end of lemma zenon_L415_ *)
% 42.92/43.16 assert (zenon_L416_ : (((op2 (e23) (e23)) = (e23))/\((~((op2 (e23) (e23)) = (e23)))/\(((op2 (e23) (e23)) = (e23))/\(~((op2 (e23) (e23)) = (e23)))))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H495.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H495). zenon_intro zenon_H12b. zenon_intro zenon_H496.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H12f. zenon_intro zenon_H1dc.
% 42.92/43.16 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_H12b. zenon_intro zenon_H12f.
% 42.92/43.16 exact (zenon_H12f zenon_H12b).
% 42.92/43.16 (* end of lemma zenon_L416_ *)
% 42.92/43.16 assert (zenon_L417_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H378 zenon_H32c zenon_H298 zenon_H337 zenon_H287 zenon_H285 zenon_H375 zenon_H374 zenon_H458.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 42.92/43.16 apply (zenon_L260_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 42.92/43.16 apply (zenon_L227_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 42.92/43.16 apply (zenon_L273_); trivial.
% 42.92/43.16 exact (zenon_H458 zenon_H302).
% 42.92/43.16 (* end of lemma zenon_L417_ *)
% 42.92/43.16 assert (zenon_L418_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (e10))) -> ((h2 (e11)) = (e21)) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((e12) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H43a zenon_H25a zenon_H497 zenon_H30 zenon_H46b zenon_H22 zenon_H498 zenon_H458 zenon_H374 zenon_H375 zenon_H285 zenon_H287 zenon_H337 zenon_H298 zenon_H378 zenon_H2f7 zenon_H274 zenon_H271.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H258 | zenon_intro zenon_H43d ].
% 42.92/43.16 exact (zenon_H25a zenon_H258).
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H43d); [ zenon_intro zenon_H266 | zenon_intro zenon_H43e ].
% 42.92/43.16 cut (((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H498.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H46b.
% 42.92/43.16 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H499].
% 42.92/43.16 cut (((h2 (e10)) = (h2 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H49a].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((h2 (op1 (e10) (e11))) = (h2 (op1 (e10) (e11))))); [ zenon_intro zenon_H49b | zenon_intro zenon_H49c ].
% 42.92/43.16 cut (((h2 (op1 (e10) (e11))) = (h2 (op1 (e10) (e11)))) = ((h2 (e10)) = (h2 (op1 (e10) (e11))))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H49a.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H49b.
% 42.92/43.16 cut (((h2 (op1 (e10) (e11))) = (h2 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H49c].
% 42.92/43.16 cut (((h2 (op1 (e10) (e11))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H49d].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((op1 (e10) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H269].
% 42.92/43.16 congruence.
% 42.92/43.16 exact (zenon_H269 zenon_H266).
% 42.92/43.16 apply zenon_H49c. apply refl_equal.
% 42.92/43.16 apply zenon_H49c. apply refl_equal.
% 42.92/43.16 elim (classic ((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [ zenon_intro zenon_H49e | zenon_intro zenon_H49f ].
% 42.92/43.16 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11)))) = ((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e10)) (h2 (e11))))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H499.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H49e.
% 42.92/43.16 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H49f].
% 42.92/43.16 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4a0].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (h2 (e10)) (h2 (e11))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H4a0.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H22.
% 42.92/43.16 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4a1].
% 42.92/43.16 cut (((op2 (e20) (e21)) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4a2].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [ zenon_intro zenon_H49e | zenon_intro zenon_H49f ].
% 42.92/43.16 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11)))) = ((op2 (e20) (e21)) = (op2 (h2 (e10)) (h2 (e11))))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H4a2.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H49e.
% 42.92/43.16 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H49f].
% 42.92/43.16 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4a3].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H4a4].
% 42.92/43.16 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 42.92/43.16 congruence.
% 42.92/43.16 apply (zenon_L395_); trivial.
% 42.92/43.16 exact (zenon_H4a4 zenon_H497).
% 42.92/43.16 apply zenon_H49f. apply refl_equal.
% 42.92/43.16 apply zenon_H49f. apply refl_equal.
% 42.92/43.16 exact (zenon_H4a1 zenon_H30).
% 42.92/43.16 apply zenon_H49f. apply refl_equal.
% 42.92/43.16 apply zenon_H49f. apply refl_equal.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H32c | zenon_intro zenon_H2f8 ].
% 42.92/43.16 apply (zenon_L417_); trivial.
% 42.92/43.16 apply (zenon_L249_); trivial.
% 42.92/43.16 (* end of lemma zenon_L418_ *)
% 42.92/43.16 assert (zenon_L419_ : (((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 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_Hf3 zenon_Hc8 zenon_H54 zenon_Hba zenon_H43 zenon_H41 zenon_H137 zenon_H82 zenon_Hf2.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.16 apply (zenon_L93_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.16 apply (zenon_L11_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.16 apply (zenon_L79_); trivial.
% 42.92/43.16 exact (zenon_Hf2 zenon_Hee).
% 42.92/43.16 (* end of lemma zenon_L419_ *)
% 42.92/43.16 assert (zenon_L420_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H4a5 zenon_H2b4 zenon_H258 zenon_H266.
% 42.92/43.16 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H4a5.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H2b4.
% 42.92/43.16 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H4a6].
% 42.92/43.16 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4a7].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H33b | zenon_intro zenon_H33c ].
% 42.92/43.16 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e10)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H4a7.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H33b.
% 42.92/43.16 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 42.92/43.16 cut (((op1 (e10) (e10)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4a8].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4a9].
% 42.92/43.16 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 42.92/43.16 congruence.
% 42.92/43.16 apply zenon_H27a. apply refl_equal.
% 42.92/43.16 apply zenon_H4a9. apply sym_equal. exact zenon_H258.
% 42.92/43.16 apply zenon_H33c. apply refl_equal.
% 42.92/43.16 apply zenon_H33c. apply refl_equal.
% 42.92/43.16 apply zenon_H4a6. apply sym_equal. exact zenon_H266.
% 42.92/43.16 (* end of lemma zenon_L420_ *)
% 42.92/43.16 assert (zenon_L421_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e11)) = (e10)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H2ae zenon_H460 zenon_H375 zenon_H29e zenon_H34e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.16 apply (zenon_L233_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.16 apply (zenon_L388_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.16 apply (zenon_L264_); trivial.
% 42.92/43.16 apply (zenon_L230_); trivial.
% 42.92/43.16 (* end of lemma zenon_L421_ *)
% 42.92/43.16 assert (zenon_L422_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> ((op1 (e10) (e10)) = (e11)) -> ((op1 (e12) (e11)) = (e10)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H29e zenon_H2b4 zenon_H26a zenon_H369.
% 42.92/43.16 cut (((op1 (e10) (op1 (e10) (e10))) = (e10)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H29e.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H2b4.
% 42.92/43.16 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H36c].
% 42.92/43.16 cut (((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H4aa].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H281 | zenon_intro zenon_H282 ].
% 42.92/43.16 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (op1 (e10) (e10))) = (op1 (e10) (e11)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H4aa.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H281.
% 42.92/43.16 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H282].
% 42.92/43.16 cut (((op1 (e10) (e11)) = (op1 (e10) (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4ab].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((e11) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4ac].
% 42.92/43.16 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 42.92/43.16 congruence.
% 42.92/43.16 apply zenon_H27a. apply refl_equal.
% 42.92/43.16 apply zenon_H4ac. apply sym_equal. exact zenon_H26a.
% 42.92/43.16 apply zenon_H282. apply refl_equal.
% 42.92/43.16 apply zenon_H282. apply refl_equal.
% 42.92/43.16 apply zenon_H36c. apply sym_equal. exact zenon_H369.
% 42.92/43.16 (* end of lemma zenon_L422_ *)
% 42.92/43.16 assert (zenon_L423_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H2b2 zenon_H2b4 zenon_H4a5 zenon_H258 zenon_H3af zenon_H287 zenon_H27b zenon_H27c zenon_H273 zenon_H274 zenon_H294 zenon_H298 zenon_H297 zenon_H2ae zenon_H460 zenon_H375 zenon_H2a7 zenon_H29e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H26a | zenon_intro zenon_H2b8 ].
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H266 | zenon_intro zenon_H3b8 ].
% 42.92/43.16 apply (zenon_L420_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H34e | zenon_intro zenon_H3b9 ].
% 42.92/43.16 apply (zenon_L421_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H369 | zenon_intro zenon_H275 ].
% 42.92/43.16 apply (zenon_L422_); trivial.
% 42.92/43.16 apply (zenon_L224_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H27d | zenon_intro zenon_H2b9 ].
% 42.92/43.16 apply (zenon_L231_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H299 | zenon_intro zenon_H2a8 ].
% 42.92/43.16 apply (zenon_L232_); trivial.
% 42.92/43.16 apply (zenon_L396_); trivial.
% 42.92/43.16 (* end of lemma zenon_L423_ *)
% 42.92/43.16 assert (zenon_L424_ : (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H4ad zenon_H70 zenon_H14 zenon_H22.
% 42.92/43.16 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H4ad.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_H70.
% 42.92/43.16 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 42.92/43.16 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4ae].
% 42.92/43.16 congruence.
% 42.92/43.16 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbd ].
% 42.92/43.16 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e20)))).
% 42.92/43.16 intro zenon_D_pnotp.
% 42.92/43.16 apply zenon_H4ae.
% 42.92/43.16 rewrite <- zenon_D_pnotp.
% 42.92/43.16 exact zenon_Hbc.
% 42.92/43.16 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hbd].
% 42.92/43.16 cut (((op2 (e20) (e20)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H4af].
% 42.92/43.16 congruence.
% 42.92/43.16 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 42.92/43.16 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.16 congruence.
% 42.92/43.16 apply zenon_H36. apply refl_equal.
% 42.92/43.16 apply zenon_H151. apply sym_equal. exact zenon_H14.
% 42.92/43.16 apply zenon_Hbd. apply refl_equal.
% 42.92/43.16 apply zenon_Hbd. apply refl_equal.
% 42.92/43.16 apply zenon_Hc6. apply sym_equal. exact zenon_H22.
% 42.92/43.16 (* end of lemma zenon_L424_ *)
% 42.92/43.16 assert (zenon_L425_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e21)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.16 do 0 intro. intros zenon_H6a zenon_H252 zenon_H137 zenon_H5a zenon_Hce zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.16 apply (zenon_L17_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.16 apply (zenon_L213_); trivial.
% 42.92/43.16 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.17 apply (zenon_L40_); trivial.
% 42.92/43.17 apply (zenon_L14_); trivial.
% 42.92/43.17 (* end of lemma zenon_L425_ *)
% 42.92/43.17 assert (zenon_L426_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e20)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H5a zenon_H70 zenon_H26 zenon_Hd4.
% 42.92/43.17 cut (((op2 (e20) (op2 (e20) (e20))) = (e20)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H5a.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H70.
% 42.92/43.17 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 42.92/43.17 cut (((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4b0].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 42.92/43.17 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (op2 (e20) (e20))) = (op2 (e20) (e21)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4b0.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H3d.
% 42.92/43.17 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 42.92/43.17 cut (((op2 (e20) (e21)) = (op2 (e20) (op2 (e20) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H4b1].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((e21) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4b2].
% 42.92/43.17 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.17 congruence.
% 42.92/43.17 apply zenon_H36. apply refl_equal.
% 42.92/43.17 apply zenon_H4b2. apply sym_equal. exact zenon_H26.
% 42.92/43.17 apply zenon_H3e. apply refl_equal.
% 42.92/43.17 apply zenon_H3e. apply refl_equal.
% 42.92/43.17 apply zenon_Hd7. apply sym_equal. exact zenon_Hd4.
% 42.92/43.17 (* end of lemma zenon_L426_ *)
% 42.92/43.17 assert (zenon_L427_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H6a zenon_H252 zenon_H137 zenon_H64 zenon_H63 zenon_H5a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.17 apply (zenon_L17_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.17 apply (zenon_L213_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.17 apply (zenon_L19_); trivial.
% 42.92/43.17 apply (zenon_L14_); trivial.
% 42.92/43.17 (* end of lemma zenon_L427_ *)
% 42.92/43.17 assert (zenon_L428_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e21))) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H6e zenon_H70 zenon_H4ad zenon_H14 zenon_Hd9 zenon_H43 zenon_H37 zenon_H38 zenon_H2f zenon_H30 zenon_H50 zenon_H54 zenon_H53 zenon_H6a zenon_H252 zenon_H137 zenon_H63 zenon_H5a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H74 ].
% 42.92/43.17 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H22 | zenon_intro zenon_Hda ].
% 42.92/43.17 apply (zenon_L424_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ].
% 42.92/43.17 apply (zenon_L425_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H31 ].
% 42.92/43.17 apply (zenon_L426_); trivial.
% 42.92/43.17 apply (zenon_L8_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H39 | zenon_intro zenon_H75 ].
% 42.92/43.17 apply (zenon_L15_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 42.92/43.17 apply (zenon_L16_); trivial.
% 42.92/43.17 apply (zenon_L427_); trivial.
% 42.92/43.17 (* end of lemma zenon_L428_ *)
% 42.92/43.17 assert (zenon_L429_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (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 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H100 zenon_Hef zenon_H43 zenon_Hba zenon_H84 zenon_Hf3 zenon_Hfa zenon_H159 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Heb zenon_H30 zenon_H2f zenon_Hc0 zenon_Hd5 zenon_H6a zenon_H5e zenon_H5a zenon_H4c zenon_Hc9 zenon_Hd9 zenon_H95 zenon_H8d zenon_Hdd zenon_He9 zenon_H2d zenon_H65 zenon_He4 zenon_H41.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 42.92/43.17 apply (zenon_L51_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 42.92/43.17 apply (zenon_L52_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 42.92/43.17 apply (zenon_L78_); trivial.
% 42.92/43.17 apply (zenon_L53_); trivial.
% 42.92/43.17 (* end of lemma zenon_L429_ *)
% 42.92/43.17 assert (zenon_L430_ : (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e22)) = (e21)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H1ba zenon_H137 zenon_H4b3.
% 42.92/43.17 cut (((op2 (e23) (e22)) = (e23)) = ((e21) = (e23))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H1ba.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H137.
% 42.92/43.17 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H81].
% 42.92/43.17 cut (((op2 (e23) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H4b4].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H4b4 zenon_H4b3).
% 42.92/43.17 apply zenon_H81. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L430_ *)
% 42.92/43.17 assert (zenon_L431_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4b5 zenon_H54 zenon_H53 zenon_H1a6 zenon_H41 zenon_He4 zenon_H65 zenon_H2d zenon_He9 zenon_Hdd zenon_H95 zenon_Hd9 zenon_Hc9 zenon_H4c zenon_H5a zenon_H5e zenon_H6a zenon_Hd5 zenon_Hc0 zenon_H2f zenon_H30 zenon_Heb zenon_H86 zenon_Haa zenon_Ha4 zenon_Hf6 zenon_H159 zenon_Hfa zenon_Hf3 zenon_H84 zenon_Hba zenon_H43 zenon_Hef zenon_H100 zenon_H1ba zenon_H137.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 42.92/43.17 apply (zenon_L16_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 42.92/43.17 exact (zenon_H1a6 zenon_H1a9).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 42.92/43.17 apply (zenon_L429_); trivial.
% 42.92/43.17 apply (zenon_L430_); trivial.
% 42.92/43.17 (* end of lemma zenon_L431_ *)
% 42.92/43.17 assert (zenon_L432_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e20) = (e21))) -> ((op2 (e22) (e22)) = (e20)) -> (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4b5 zenon_H41 zenon_H54 zenon_H53 zenon_H1a6 zenon_H106 zenon_H105 zenon_H1ba zenon_H137.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 42.92/43.17 apply (zenon_L16_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 42.92/43.17 exact (zenon_H1a6 zenon_H1a9).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 42.92/43.17 apply (zenon_L56_); trivial.
% 42.92/43.17 apply (zenon_L430_); trivial.
% 42.92/43.17 (* end of lemma zenon_L432_ *)
% 42.92/43.17 assert (zenon_L433_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (op2 (e20) (e20))) = (e20)) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H10d zenon_H82 zenon_H252 zenon_H30 zenon_H86 zenon_H4b5 zenon_H54 zenon_H53 zenon_H1a6 zenon_H106 zenon_H1ba zenon_H137 zenon_H5a zenon_H70 zenon_H26 zenon_He9 zenon_Hdd zenon_H95 zenon_Hd9 zenon_Hc9 zenon_H5e zenon_H6a zenon_Hd5 zenon_H2f zenon_Heb zenon_Haa zenon_Ha4 zenon_Hf6 zenon_H159 zenon_Hfa zenon_Hf3 zenon_H84 zenon_Hba zenon_H43 zenon_Hef zenon_H100 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.17 apply (zenon_L24_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.17 apply (zenon_L17_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.17 apply (zenon_L136_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.17 apply (zenon_L17_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.17 apply (zenon_L213_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 42.92/43.17 apply (zenon_L431_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 42.92/43.17 apply (zenon_L426_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 42.92/43.17 apply (zenon_L432_); trivial.
% 42.92/43.17 apply (zenon_L25_); trivial.
% 42.92/43.17 apply (zenon_L14_); trivial.
% 42.92/43.17 (* end of lemma zenon_L433_ *)
% 42.92/43.17 assert (zenon_L434_ : (~((h2 (e12)) = (e22))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4b8 zenon_H4b9 zenon_H41.
% 42.92/43.17 cut (((h2 (e12)) = (op2 (e21) (e21))) = ((h2 (e12)) = (e22))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4b8.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4b9.
% 42.92/43.17 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 42.92/43.17 cut (((h2 (e12)) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4ba].
% 42.92/43.17 congruence.
% 42.92/43.17 apply zenon_H4ba. apply refl_equal.
% 42.92/43.17 apply zenon_H4a. apply sym_equal. exact zenon_H41.
% 42.92/43.17 (* end of lemma zenon_L434_ *)
% 42.92/43.17 assert (zenon_L435_ : (~((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))) -> ((op1 (e10) (e12)) = (e12)) -> ((op2 (e20) (e22)) = (e22)) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4bb zenon_H40d zenon_Hb0 zenon_H46b zenon_H30 zenon_H4b9 zenon_H41.
% 42.92/43.17 cut (((h2 (e12)) = (op2 (e21) (e21))) = ((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4bb.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4b9.
% 42.92/43.17 cut (((op2 (e21) (e21)) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4bc].
% 42.92/43.17 cut (((h2 (e12)) = (h2 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4bd].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((h2 (op1 (e10) (e12))) = (h2 (op1 (e10) (e12))))); [ zenon_intro zenon_H4be | zenon_intro zenon_H4bf ].
% 42.92/43.17 cut (((h2 (op1 (e10) (e12))) = (h2 (op1 (e10) (e12)))) = ((h2 (e12)) = (h2 (op1 (e10) (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4bd.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4be.
% 42.92/43.17 cut (((h2 (op1 (e10) (e12))) = (h2 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4bf].
% 42.92/43.17 cut (((h2 (op1 (e10) (e12))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4c0].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H413].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H413 zenon_H40d).
% 42.92/43.17 apply zenon_H4bf. apply refl_equal.
% 42.92/43.17 apply zenon_H4bf. apply refl_equal.
% 42.92/43.17 elim (classic ((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [ zenon_intro zenon_H4c1 | zenon_intro zenon_H4c2 ].
% 42.92/43.17 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12)))) = ((op2 (e21) (e21)) = (op2 (h2 (e10)) (h2 (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4bc.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4c1.
% 42.92/43.17 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4c2].
% 42.92/43.17 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4c3].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (h2 (e10)) (h2 (e12))) = (op2 (e21) (e21)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4c3.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_Hb0.
% 42.92/43.17 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 42.92/43.17 cut (((op2 (e20) (e22)) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4c4].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [ zenon_intro zenon_H4c1 | zenon_intro zenon_H4c2 ].
% 42.92/43.17 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12)))) = ((op2 (e20) (e22)) = (op2 (h2 (e10)) (h2 (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4c4.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4c1.
% 42.92/43.17 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4c2].
% 42.92/43.17 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4c5].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4b8].
% 42.92/43.17 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 42.92/43.17 congruence.
% 42.92/43.17 apply (zenon_L395_); trivial.
% 42.92/43.17 apply (zenon_L434_); trivial.
% 42.92/43.17 apply zenon_H4c2. apply refl_equal.
% 42.92/43.17 apply zenon_H4c2. apply refl_equal.
% 42.92/43.17 exact (zenon_H56 zenon_H41).
% 42.92/43.17 apply zenon_H4c2. apply refl_equal.
% 42.92/43.17 apply zenon_H4c2. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L435_ *)
% 42.92/43.17 assert (zenon_L436_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_Hdd zenon_H63 zenon_H155 zenon_H137.
% 42.92/43.17 cut (((op2 (e20) (op2 (e20) (e23))) = (e23)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_Hdd.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H63.
% 42.92/43.17 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 42.92/43.17 cut (((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4c6].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 42.92/43.17 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (op2 (e20) (e23))) = (op2 (e20) (e22)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4c6.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_Hb2.
% 42.92/43.17 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 42.92/43.17 cut (((op2 (e20) (e22)) = (op2 (e20) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H4c7].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157].
% 42.92/43.17 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H36].
% 42.92/43.17 congruence.
% 42.92/43.17 apply zenon_H36. apply refl_equal.
% 42.92/43.17 apply zenon_H157. apply sym_equal. exact zenon_H155.
% 42.92/43.17 apply zenon_Hb3. apply refl_equal.
% 42.92/43.17 apply zenon_Hb3. apply refl_equal.
% 42.92/43.17 apply zenon_H1bc. apply sym_equal. exact zenon_H137.
% 42.92/43.17 (* end of lemma zenon_L436_ *)
% 42.92/43.17 assert (zenon_L437_ : (~((h2 (e13)) = (e23))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4c8 zenon_H4c9 zenon_H2d.
% 42.92/43.17 cut (((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) = ((h2 (e13)) = (e23))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4c8.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4c9.
% 42.92/43.17 cut (((op2 (op2 (e21) (e21)) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 42.92/43.17 cut (((h2 (e13)) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4ca].
% 42.92/43.17 congruence.
% 42.92/43.17 apply zenon_H4ca. apply refl_equal.
% 42.92/43.17 apply zenon_H2e. apply sym_equal. exact zenon_H2d.
% 42.92/43.17 (* end of lemma zenon_L437_ *)
% 42.92/43.17 assert (zenon_L438_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H375 zenon_H361 zenon_H3a0.
% 42.92/43.17 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H35d | zenon_intro zenon_H35e ].
% 42.92/43.17 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H3a0.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H35d.
% 42.92/43.17 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.17 cut (((op1 (e13) (e12)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4cb].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op1 (e13) (e12)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e13) (e10)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4cb.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H375.
% 42.92/43.17 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H362].
% 42.92/43.17 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 42.92/43.17 congruence.
% 42.92/43.17 apply zenon_H35e. apply refl_equal.
% 42.92/43.17 apply zenon_H362. apply sym_equal. exact zenon_H361.
% 42.92/43.17 apply zenon_H35e. apply refl_equal.
% 42.92/43.17 apply zenon_H35e. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L438_ *)
% 42.92/43.17 assert (zenon_L439_ : ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H137 zenon_H129 zenon_H1bb.
% 42.92/43.17 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdf ].
% 42.92/43.17 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H1bb.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_Hde.
% 42.92/43.17 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 42.92/43.17 cut (((op2 (e23) (e22)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4cc].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op2 (e23) (e22)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e23) (e20)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4cc.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H137.
% 42.92/43.17 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 42.92/43.17 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 42.92/43.17 congruence.
% 42.92/43.17 apply zenon_Hdf. apply refl_equal.
% 42.92/43.17 apply zenon_H12a. apply sym_equal. exact zenon_H129.
% 42.92/43.17 apply zenon_Hdf. apply refl_equal.
% 42.92/43.17 apply zenon_Hdf. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L439_ *)
% 42.92/43.17 assert (zenon_L440_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_Hf3 zenon_Hb0 zenon_H84 zenon_Hba zenon_H43 zenon_H41 zenon_H137 zenon_H82 zenon_Hf2.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 42.92/43.17 apply (zenon_L35_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 42.92/43.17 apply (zenon_L11_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 42.92/43.17 apply (zenon_L79_); trivial.
% 42.92/43.17 exact (zenon_Hf2 zenon_Hee).
% 42.92/43.17 (* end of lemma zenon_L440_ *)
% 42.92/43.17 assert (zenon_L441_ : (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op2 (e21) (e22)) = (e20)) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4cd zenon_H46b zenon_H46f zenon_H1ed zenon_H30 zenon_H497 zenon_H4b9 zenon_H41.
% 42.92/43.17 cut (((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4cd.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H46b.
% 42.92/43.17 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4ce].
% 42.92/43.17 cut (((h2 (e10)) = (h2 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4cf].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((h2 (op1 (e11) (e12))) = (h2 (op1 (e11) (e12))))); [ zenon_intro zenon_H4d0 | zenon_intro zenon_H4d1 ].
% 42.92/43.17 cut (((h2 (op1 (e11) (e12))) = (h2 (op1 (e11) (e12)))) = ((h2 (e10)) = (h2 (op1 (e11) (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4cf.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4d0.
% 42.92/43.17 cut (((h2 (op1 (e11) (e12))) = (h2 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4d1].
% 42.92/43.17 cut (((h2 (op1 (e11) (e12))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4d2].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H4d3].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H4d3 zenon_H46f).
% 42.92/43.17 apply zenon_H4d1. apply refl_equal.
% 42.92/43.17 apply zenon_H4d1. apply refl_equal.
% 42.92/43.17 elim (classic ((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [ zenon_intro zenon_H4d4 | zenon_intro zenon_H4d5 ].
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12)))) = ((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e11)) (h2 (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4ce.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4d4.
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4d5].
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4d6].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op2 (e21) (e22)) = (e20)) = ((op2 (h2 (e11)) (h2 (e12))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4d6.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H1ed.
% 42.92/43.17 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4a1].
% 42.92/43.17 cut (((op2 (e21) (e22)) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4d7].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [ zenon_intro zenon_H4d4 | zenon_intro zenon_H4d5 ].
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12)))) = ((op2 (e21) (e22)) = (op2 (h2 (e11)) (h2 (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4d7.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4d4.
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4d5].
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4d8].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4b8].
% 42.92/43.17 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H4a4].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H4a4 zenon_H497).
% 42.92/43.17 apply (zenon_L434_); trivial.
% 42.92/43.17 apply zenon_H4d5. apply refl_equal.
% 42.92/43.17 apply zenon_H4d5. apply refl_equal.
% 42.92/43.17 exact (zenon_H4a1 zenon_H30).
% 42.92/43.17 apply zenon_H4d5. apply refl_equal.
% 42.92/43.17 apply zenon_H4d5. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L441_ *)
% 42.92/43.17 assert (zenon_L442_ : ((op1 (e12) (e12)) = (e10)) -> ((op1 (e12) (e12)) = (e11)) -> (~((e10) = (e11))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H33f zenon_H2cc zenon_H4d9.
% 42.92/43.17 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H4da | zenon_intro zenon_H28c ].
% 42.92/43.17 cut (((e11) = (e11)) = ((e10) = (e11))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4d9.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4da.
% 42.92/43.17 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 42.92/43.17 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H4db].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op1 (e12) (e12)) = (e10)) = ((e11) = (e10))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4db.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H33f.
% 42.92/43.17 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 42.92/43.17 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H425].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H425 zenon_H2cc).
% 42.92/43.17 apply zenon_H27a. apply refl_equal.
% 42.92/43.17 apply zenon_H28c. apply refl_equal.
% 42.92/43.17 apply zenon_H28c. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L442_ *)
% 42.92/43.17 assert (zenon_L443_ : (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e12)) = (e11)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H39a zenon_H375 zenon_H4dc.
% 42.92/43.17 cut (((op1 (e13) (e12)) = (e13)) = ((e11) = (e13))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H39a.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H375.
% 42.92/43.17 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 42.92/43.17 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H4dd].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H4dd zenon_H4dc).
% 42.92/43.17 apply zenon_H2e5. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L443_ *)
% 42.92/43.17 assert (zenon_L444_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e10) = (e11))) -> ((op1 (e12) (e12)) = (e10)) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4de zenon_H285 zenon_H298 zenon_H297 zenon_H3b4 zenon_H4d9 zenon_H33f zenon_H39a zenon_H375.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4de); [ zenon_intro zenon_H299 | zenon_intro zenon_H4df ].
% 42.92/43.17 apply (zenon_L232_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4df); [ zenon_intro zenon_H3be | zenon_intro zenon_H4e0 ].
% 42.92/43.17 exact (zenon_H3b4 zenon_H3be).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4e0); [ zenon_intro zenon_H2cc | zenon_intro zenon_H4dc ].
% 42.92/43.17 apply (zenon_L442_); trivial.
% 42.92/43.17 apply (zenon_L443_); trivial.
% 42.92/43.17 (* end of lemma zenon_L444_ *)
% 42.92/43.17 assert (zenon_L445_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e21) (e22)) = (e20)) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4e1 zenon_H458 zenon_H374 zenon_H287 zenon_H337 zenon_H378 zenon_H41 zenon_H4b9 zenon_H497 zenon_H30 zenon_H1ed zenon_H46b zenon_H4cd zenon_H375 zenon_H39a zenon_H4d9 zenon_H3b4 zenon_H297 zenon_H298 zenon_H285 zenon_H4de zenon_H35a zenon_H274 zenon_H271.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4e1); [ zenon_intro zenon_H32c | zenon_intro zenon_H4e2 ].
% 42.92/43.17 apply (zenon_L417_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4e2); [ zenon_intro zenon_H46f | zenon_intro zenon_H4e3 ].
% 42.92/43.17 apply (zenon_L441_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4e3); [ zenon_intro zenon_H33f | zenon_intro zenon_H35b ].
% 42.92/43.17 apply (zenon_L444_); trivial.
% 42.92/43.17 apply (zenon_L267_); trivial.
% 42.92/43.17 (* end of lemma zenon_L445_ *)
% 42.92/43.17 assert (zenon_L446_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H16d zenon_Hf2 zenon_H82 zenon_H43 zenon_Hb0 zenon_Hf3 zenon_H113 zenon_H11e zenon_H217 zenon_Hba zenon_H271 zenon_H274 zenon_H35a zenon_H4de zenon_H285 zenon_H298 zenon_H297 zenon_H3b4 zenon_H4d9 zenon_H39a zenon_H375 zenon_H4cd zenon_H46b zenon_H497 zenon_H4b9 zenon_H378 zenon_H337 zenon_H287 zenon_H374 zenon_H458 zenon_H4e1 zenon_H137 zenon_H1ba zenon_H106 zenon_H1a6 zenon_H53 zenon_H54 zenon_H41 zenon_H4b5 zenon_H125 zenon_H30 zenon_H2d.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 42.92/43.17 apply (zenon_L440_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 42.92/43.17 apply (zenon_L60_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 42.92/43.17 exact (zenon_H11e zenon_H11a).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 42.92/43.17 apply (zenon_L93_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 42.92/43.17 apply (zenon_L445_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 42.92/43.17 apply (zenon_L432_); trivial.
% 42.92/43.17 apply (zenon_L65_); trivial.
% 42.92/43.17 (* end of lemma zenon_L446_ *)
% 42.92/43.17 assert (zenon_L447_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H6a zenon_H53 zenon_H252 zenon_H137 zenon_H5e zenon_H2d zenon_H2b zenon_H43.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 42.92/43.17 apply (zenon_L109_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 42.92/43.17 apply (zenon_L213_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 42.92/43.17 apply (zenon_L110_); trivial.
% 42.92/43.17 apply (zenon_L111_); trivial.
% 42.92/43.17 (* end of lemma zenon_L447_ *)
% 42.92/43.17 assert (zenon_L448_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H2ae zenon_H297 zenon_H460 zenon_H375 zenon_H2a2 zenon_H271 zenon_H26f zenon_H287.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.17 apply (zenon_L286_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.17 apply (zenon_L388_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.17 apply (zenon_L287_); trivial.
% 42.92/43.17 apply (zenon_L288_); trivial.
% 42.92/43.17 (* end of lemma zenon_L448_ *)
% 42.92/43.17 assert (zenon_L449_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((op2 (e21) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H3b1 zenon_H3d9 zenon_H287 zenon_H271 zenon_H2a2 zenon_H375 zenon_H460 zenon_H297 zenon_H2ae zenon_H3b4 zenon_H4e4 zenon_H1a1 zenon_H497 zenon_H4c9 zenon_H2d.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3b1); [ zenon_intro zenon_H36f | zenon_intro zenon_H3ba ].
% 42.92/43.17 exact (zenon_H3d9 zenon_H36f).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H26f | zenon_intro zenon_H3bd ].
% 42.92/43.17 apply (zenon_L448_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H3be | zenon_intro zenon_H387 ].
% 42.92/43.17 exact (zenon_H3b4 zenon_H3be).
% 42.92/43.17 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4e4.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H497.
% 42.92/43.17 cut (((e21) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4e5].
% 42.92/43.17 cut (((h2 (e11)) = (h2 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4e6].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((h2 (op1 (e11) (e13))) = (h2 (op1 (e11) (e13))))); [ zenon_intro zenon_H4e7 | zenon_intro zenon_H4e8 ].
% 42.92/43.17 cut (((h2 (op1 (e11) (e13))) = (h2 (op1 (e11) (e13)))) = ((h2 (e11)) = (h2 (op1 (e11) (e13))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4e6.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4e7.
% 42.92/43.17 cut (((h2 (op1 (e11) (e13))) = (h2 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4e8].
% 42.92/43.17 cut (((h2 (op1 (e11) (e13))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H4e9].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3ad].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H3ad zenon_H387).
% 42.92/43.17 apply zenon_H4e8. apply refl_equal.
% 42.92/43.17 apply zenon_H4e8. apply refl_equal.
% 42.92/43.17 elim (classic ((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [ zenon_intro zenon_H4ea | zenon_intro zenon_H4eb ].
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13)))) = ((e21) = (op2 (h2 (e11)) (h2 (e13))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4e5.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4ea.
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4eb].
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e13))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H4ec].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (h2 (e11)) (h2 (e13))) = (e21))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4ec.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H1a1.
% 42.92/43.17 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.17 cut (((op2 (e21) (e23)) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4ed].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [ zenon_intro zenon_H4ea | zenon_intro zenon_H4eb ].
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13)))) = ((op2 (e21) (e23)) = (op2 (h2 (e11)) (h2 (e13))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4ed.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4ea.
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H4eb].
% 42.92/43.17 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4ee].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4c8].
% 42.92/43.17 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H4a4].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H4a4 zenon_H497).
% 42.92/43.17 apply (zenon_L437_); trivial.
% 42.92/43.17 apply zenon_H4eb. apply refl_equal.
% 42.92/43.17 apply zenon_H4eb. apply refl_equal.
% 42.92/43.17 apply zenon_H48. apply refl_equal.
% 42.92/43.17 apply zenon_H4eb. apply refl_equal.
% 42.92/43.17 apply zenon_H4eb. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L449_ *)
% 42.92/43.17 assert (zenon_L450_ : ((op2 (e22) (e20)) = (e20)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e12)) (h2 (e10))))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_Hc0 zenon_H4b9 zenon_H41 zenon_H46b zenon_H30 zenon_H4ef.
% 42.92/43.17 elim (classic ((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H4f1 ].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10)))) = ((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e12)) (h2 (e10))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4ef.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4f0.
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4f1].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4f2].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (h2 (e12)) (h2 (e10))) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4f2.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_Hc0.
% 42.92/43.17 cut (((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H4a1].
% 42.92/43.17 cut (((op2 (e22) (e20)) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4f3].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [ zenon_intro zenon_H4f0 | zenon_intro zenon_H4f1 ].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10)))) = ((op2 (e22) (e20)) = (op2 (h2 (e12)) (h2 (e10))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4f3.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4f0.
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4f1].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4f4].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 42.92/43.17 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4b8].
% 42.92/43.17 congruence.
% 42.92/43.17 apply (zenon_L434_); trivial.
% 42.92/43.17 apply (zenon_L395_); trivial.
% 42.92/43.17 apply zenon_H4f1. apply refl_equal.
% 42.92/43.17 apply zenon_H4f1. apply refl_equal.
% 42.92/43.17 exact (zenon_H4a1 zenon_H30).
% 42.92/43.17 apply zenon_H4f1. apply refl_equal.
% 42.92/43.17 apply zenon_H4f1. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L450_ *)
% 42.92/43.17 assert (zenon_L451_ : (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> ((op1 (e12) (e10)) = (e10)) -> ((op2 (e22) (e20)) = (e20)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4f5 zenon_H364 zenon_Hc0 zenon_H4b9 zenon_H41 zenon_H46b zenon_H30.
% 42.92/43.17 cut (((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4f5.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H46b.
% 42.92/43.17 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4ef].
% 42.92/43.17 cut (((h2 (e10)) = (h2 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4f6].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10))))); [ zenon_intro zenon_H4f7 | zenon_intro zenon_H4f8 ].
% 42.92/43.17 cut (((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10)))) = ((h2 (e10)) = (h2 (op1 (e12) (e10))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4f6.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4f7.
% 42.92/43.17 cut (((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4f8].
% 42.92/43.17 cut (((h2 (op1 (e12) (e10))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4f9].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H4fa].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H4fa zenon_H364).
% 42.92/43.17 apply zenon_H4f8. apply refl_equal.
% 42.92/43.17 apply zenon_H4f8. apply refl_equal.
% 42.92/43.17 apply (zenon_L450_); trivial.
% 42.92/43.17 (* end of lemma zenon_L451_ *)
% 42.92/43.17 assert (zenon_L452_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (op1 (e10) (e10))) = (e10)) -> (~((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))) -> ((op2 (e22) (e20)) = (e20)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (op1 (e10) (e11))) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H2b2 zenon_H2c5 zenon_H4de zenon_H3b4 zenon_H4d9 zenon_H39a zenon_H375 zenon_H2b4 zenon_H4f5 zenon_Hc0 zenon_H4b9 zenon_H41 zenon_H46b zenon_H30 zenon_H4fb zenon_H287 zenon_H27b zenon_H27c zenon_H273 zenon_H274 zenon_H294 zenon_H298 zenon_H297 zenon_H2ae zenon_H2a2 zenon_H2a7 zenon_H29e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H26a | zenon_intro zenon_H2b8 ].
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4fb); [ zenon_intro zenon_H364 | zenon_intro zenon_H4fc ].
% 42.92/43.17 apply (zenon_L451_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4fc); [ zenon_intro zenon_H369 | zenon_intro zenon_H4fd ].
% 42.92/43.17 apply (zenon_L422_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4fd); [ zenon_intro zenon_H33f | zenon_intro zenon_H2c6 ].
% 42.92/43.17 apply (zenon_L444_); trivial.
% 42.92/43.17 apply (zenon_L239_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H27d | zenon_intro zenon_H2b9 ].
% 42.92/43.17 apply (zenon_L231_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H299 | zenon_intro zenon_H2a8 ].
% 42.92/43.17 apply (zenon_L232_); trivial.
% 42.92/43.17 apply (zenon_L236_); trivial.
% 42.92/43.17 (* end of lemma zenon_L452_ *)
% 42.92/43.17 assert (zenon_L453_ : (~((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op1 (e12) (e11)) = (e13)) -> ((h2 (e11)) = (e21)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4fe zenon_H4c9 zenon_H2a9 zenon_H497 zenon_H4b9.
% 42.92/43.17 cut (((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) = ((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H4fe.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4c9.
% 42.92/43.17 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (h2 (e12)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4ff].
% 42.92/43.17 cut (((h2 (e13)) = (h2 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H500].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((h2 (op1 (e12) (e11))) = (h2 (op1 (e12) (e11))))); [ zenon_intro zenon_H501 | zenon_intro zenon_H502 ].
% 42.92/43.17 cut (((h2 (op1 (e12) (e11))) = (h2 (op1 (e12) (e11)))) = ((h2 (e13)) = (h2 (op1 (e12) (e11))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H500.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H501.
% 42.92/43.17 cut (((h2 (op1 (e12) (e11))) = (h2 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H502].
% 42.92/43.17 cut (((h2 (op1 (e12) (e11))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H503].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H353 zenon_H2a9).
% 42.92/43.17 apply zenon_H502. apply refl_equal.
% 42.92/43.17 apply zenon_H502. apply refl_equal.
% 42.92/43.17 cut (((e21) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H504].
% 42.92/43.17 cut (((op2 (e21) (e21)) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H505].
% 42.92/43.17 congruence.
% 42.92/43.17 apply zenon_H505. apply sym_equal. exact zenon_H4b9.
% 42.92/43.17 apply zenon_H504. apply sym_equal. exact zenon_H497.
% 42.92/43.17 (* end of lemma zenon_L453_ *)
% 42.92/43.17 assert (zenon_L454_ : (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e13)) -> ((op1 (e10) (e12)) = (e13)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H506 zenon_H360 zenon_H38b.
% 42.92/43.17 cut (((op1 (e10) (e10)) = (e13)) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H506.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H360.
% 42.92/43.17 cut (((e13) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3e2].
% 42.92/43.17 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 42.92/43.17 congruence.
% 42.92/43.17 apply zenon_H33c. apply refl_equal.
% 42.92/43.17 apply zenon_H3e2. apply sym_equal. exact zenon_H38b.
% 42.92/43.17 (* end of lemma zenon_L454_ *)
% 42.92/43.17 assert (zenon_L455_ : (~((op1 (op1 (e11) (e11)) (e11)) = (op1 (e11) (e10)))) -> ((op1 (e12) (e11)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H507 zenon_H2a9 zenon_H285 zenon_H508.
% 42.92/43.17 cut (((op1 (e12) (e11)) = (e13)) = ((op1 (op1 (e11) (e11)) (e11)) = (op1 (e11) (e10)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H507.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H2a9.
% 42.92/43.17 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H509].
% 42.92/43.17 cut (((op1 (e12) (e11)) = (op1 (op1 (e11) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3a9].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((op1 (op1 (e11) (e11)) (e11)) = (op1 (op1 (e11) (e11)) (e11)))); [ zenon_intro zenon_H3aa | zenon_intro zenon_H3ab ].
% 42.92/43.17 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e11)) = (op1 (op1 (e11) (e11)) (e11)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H3a9.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H3aa.
% 42.92/43.17 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (op1 (e11) (e11)) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3ab].
% 42.92/43.17 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H28d].
% 42.92/43.17 congruence.
% 42.92/43.17 apply (zenon_L229_); trivial.
% 42.92/43.17 apply zenon_H3ab. apply refl_equal.
% 42.92/43.17 apply zenon_H3ab. apply refl_equal.
% 42.92/43.17 apply zenon_H509. apply sym_equal. exact zenon_H508.
% 42.92/43.17 (* end of lemma zenon_L455_ *)
% 42.92/43.17 assert (zenon_L456_ : ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H271 zenon_H473 zenon_H2a9 zenon_H508 zenon_H285 zenon_H50a.
% 42.92/43.17 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H435 | zenon_intro zenon_H436 ].
% 42.92/43.17 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H50a.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H435.
% 42.92/43.17 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 42.92/43.17 cut (((op1 (e11) (e12)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H50b].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((e13) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e11) (e12)) = (op1 (e11) (e10)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H50b.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H271.
% 42.92/43.17 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H507].
% 42.92/43.17 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H476].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H435 | zenon_intro zenon_H436 ].
% 42.92/43.17 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e13) = (op1 (e11) (e12)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H476.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H435.
% 42.92/43.17 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H436].
% 42.92/43.17 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H50c].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H50c zenon_H473).
% 42.92/43.17 apply zenon_H436. apply refl_equal.
% 42.92/43.17 apply zenon_H436. apply refl_equal.
% 42.92/43.17 apply (zenon_L455_); trivial.
% 42.92/43.17 apply zenon_H436. apply refl_equal.
% 42.92/43.17 apply zenon_H436. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L456_ *)
% 42.92/43.17 assert (zenon_L457_ : ((op1 (e13) (e13)) = (e11)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H323 zenon_H2a8 zenon_H2f7.
% 42.92/43.17 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H324 | zenon_intro zenon_H325 ].
% 42.92/43.17 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H2f7.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H324.
% 42.92/43.17 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 42.92/43.17 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H417].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op1 (e13) (e13)) = (e11)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H417.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H323.
% 42.92/43.17 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2ad].
% 42.92/43.17 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H325].
% 42.92/43.17 congruence.
% 42.92/43.17 apply zenon_H325. apply refl_equal.
% 42.92/43.17 apply zenon_H2ad. apply sym_equal. exact zenon_H2a8.
% 42.92/43.17 apply zenon_H325. apply refl_equal.
% 42.92/43.17 apply zenon_H325. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L457_ *)
% 42.92/43.17 assert (zenon_L458_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H2a2 zenon_H391 zenon_H390 zenon_H38e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.17 apply (zenon_L233_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.17 apply (zenon_L234_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.17 apply (zenon_L297_); trivial.
% 42.92/43.17 apply (zenon_L230_); trivial.
% 42.92/43.17 (* end of lemma zenon_L458_ *)
% 42.92/43.17 assert (zenon_L459_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H50d zenon_H2fc zenon_H2f7 zenon_H323 zenon_H2d2 zenon_H2d0 zenon_H2ae zenon_H29e zenon_H2a2 zenon_H391 zenon_H38e zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H50d); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H50e ].
% 42.92/43.17 exact (zenon_H2fc zenon_H2f8).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H50e); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H50f ].
% 42.92/43.17 apply (zenon_L457_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H50f); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H390 ].
% 42.92/43.17 apply (zenon_L241_); trivial.
% 42.92/43.17 apply (zenon_L458_); trivial.
% 42.92/43.17 (* end of lemma zenon_L459_ *)
% 42.92/43.17 assert (zenon_L460_ : (((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))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H510 zenon_H395 zenon_H274 zenon_H2fd zenon_H2de zenon_H2c2 zenon_H375 zenon_H460 zenon_H290 zenon_H391 zenon_H2a2 zenon_H29e zenon_H2ae zenon_H2d0 zenon_H2d2 zenon_H323 zenon_H2f7 zenon_H2fc zenon_H50d zenon_H2d6 zenon_H285 zenon_H271 zenon_H303 zenon_H383.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H510); [ zenon_intro zenon_H390 | zenon_intro zenon_H511 ].
% 42.92/43.17 apply (zenon_L389_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H511); [ zenon_intro zenon_H38e | zenon_intro zenon_H512 ].
% 42.92/43.17 apply (zenon_L459_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H512); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H382 ].
% 42.92/43.17 apply (zenon_L242_); trivial.
% 42.92/43.17 apply (zenon_L277_); trivial.
% 42.92/43.17 (* end of lemma zenon_L460_ *)
% 42.92/43.17 assert (zenon_L461_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (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))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((e10) = (e13))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H305 zenon_H2c5 zenon_H510 zenon_H395 zenon_H274 zenon_H2fd zenon_H2de zenon_H2c2 zenon_H375 zenon_H460 zenon_H290 zenon_H391 zenon_H2a2 zenon_H29e zenon_H2ae zenon_H2d0 zenon_H2d2 zenon_H323 zenon_H2f7 zenon_H2fc zenon_H50d zenon_H2d6 zenon_H285 zenon_H271 zenon_H383.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 42.92/43.17 exact (zenon_H2fc zenon_H2f8).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 42.92/43.17 apply (zenon_L250_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 42.92/43.17 apply (zenon_L239_); trivial.
% 42.92/43.17 apply (zenon_L460_); trivial.
% 42.92/43.17 (* end of lemma zenon_L461_ *)
% 42.92/43.17 assert (zenon_L462_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e13))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H3a5 zenon_H360 zenon_H337 zenon_H290 zenon_H285 zenon_H474 zenon_H473 zenon_H305 zenon_H2fc zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H383.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 42.92/43.17 apply (zenon_L268_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 42.92/43.17 apply (zenon_L230_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 42.92/43.17 apply (zenon_L398_); trivial.
% 42.92/43.17 apply (zenon_L300_); trivial.
% 42.92/43.17 (* end of lemma zenon_L462_ *)
% 42.92/43.17 assert (zenon_L463_ : (((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)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (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) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e13)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H513 zenon_H514 zenon_H506 zenon_H50a zenon_H2e7 zenon_H510 zenon_H395 zenon_H2de zenon_H2c2 zenon_H460 zenon_H2d6 zenon_H383 zenon_H2c5 zenon_H274 zenon_H2fd zenon_H305 zenon_H474 zenon_H337 zenon_H360 zenon_H3a5 zenon_H50d zenon_H2fc zenon_H2f7 zenon_H323 zenon_H2d2 zenon_H2d0 zenon_H2ae zenon_H29e zenon_H2a2 zenon_H391 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H513); [ zenon_intro zenon_H508 | zenon_intro zenon_H515 ].
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 42.92/43.17 apply (zenon_L233_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 42.92/43.17 apply (zenon_L234_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H514); [ zenon_intro zenon_H38b | zenon_intro zenon_H516 ].
% 42.92/43.17 apply (zenon_L454_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H516); [ zenon_intro zenon_H473 | zenon_intro zenon_H517 ].
% 42.92/43.17 apply (zenon_L456_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H517); [ zenon_intro zenon_H308 | zenon_intro zenon_H375 ].
% 42.92/43.17 exact (zenon_H2e7 zenon_H308).
% 42.92/43.17 apply (zenon_L461_); trivial.
% 42.92/43.17 apply (zenon_L230_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H515); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H518 ].
% 42.92/43.17 apply (zenon_L234_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H518); [ zenon_intro zenon_H473 | zenon_intro zenon_H38e ].
% 42.92/43.17 apply (zenon_L462_); trivial.
% 42.92/43.17 apply (zenon_L459_); trivial.
% 42.92/43.17 (* end of lemma zenon_L463_ *)
% 42.92/43.17 assert (zenon_L464_ : ((op2 (e22) (e22)) = (e21)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((e21) = (op2 (h2 (e12)) (h2 (e12))))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H8d zenon_H4b9 zenon_H41 zenon_H519.
% 42.92/43.17 elim (classic ((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [ zenon_intro zenon_H51a | zenon_intro zenon_H51b ].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12)))) = ((e21) = (op2 (h2 (e12)) (h2 (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H519.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H51a.
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H51b].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e12))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H51c].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op2 (e22) (e22)) = (e21)) = ((op2 (h2 (e12)) (h2 (e12))) = (e21))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H51c.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H8d.
% 42.92/43.17 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 42.92/43.17 cut (((op2 (e22) (e22)) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H51d].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [ zenon_intro zenon_H51a | zenon_intro zenon_H51b ].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12)))) = ((op2 (e22) (e22)) = (op2 (h2 (e12)) (h2 (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H51d.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H51a.
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H51b].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H51e].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4b8].
% 42.92/43.17 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4b8].
% 42.92/43.17 congruence.
% 42.92/43.17 apply (zenon_L434_); trivial.
% 42.92/43.17 apply (zenon_L434_); trivial.
% 42.92/43.17 apply zenon_H51b. apply refl_equal.
% 42.92/43.17 apply zenon_H51b. apply refl_equal.
% 42.92/43.17 apply zenon_H48. apply refl_equal.
% 42.92/43.17 apply zenon_H51b. apply refl_equal.
% 42.92/43.17 apply zenon_H51b. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L464_ *)
% 42.92/43.17 assert (zenon_L465_ : (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e11)) = (e21)) -> ((op1 (e12) (e12)) = (e11)) -> ((op2 (e22) (e22)) = (e21)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H51f zenon_H497 zenon_H2cc zenon_H8d zenon_H4b9 zenon_H41.
% 42.92/43.17 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H51f.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H497.
% 42.92/43.17 cut (((e21) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H519].
% 42.92/43.17 cut (((h2 (e11)) = (h2 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H520].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((h2 (op1 (e12) (e12))) = (h2 (op1 (e12) (e12))))); [ zenon_intro zenon_H521 | zenon_intro zenon_H522 ].
% 42.92/43.17 cut (((h2 (op1 (e12) (e12))) = (h2 (op1 (e12) (e12)))) = ((h2 (e11)) = (h2 (op1 (e12) (e12))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H520.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H521.
% 42.92/43.17 cut (((h2 (op1 (e12) (e12))) = (h2 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H522].
% 42.92/43.17 cut (((h2 (op1 (e12) (e12))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H523].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H425].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H425 zenon_H2cc).
% 42.92/43.17 apply zenon_H522. apply refl_equal.
% 42.92/43.17 apply zenon_H522. apply refl_equal.
% 42.92/43.17 apply (zenon_L464_); trivial.
% 42.92/43.17 (* end of lemma zenon_L465_ *)
% 42.92/43.17 assert (zenon_L466_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e22) (e22)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4de zenon_H285 zenon_H298 zenon_H297 zenon_H3b4 zenon_H41 zenon_H4b9 zenon_H8d zenon_H497 zenon_H51f zenon_H39a zenon_H375.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4de); [ zenon_intro zenon_H299 | zenon_intro zenon_H4df ].
% 42.92/43.17 apply (zenon_L232_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4df); [ zenon_intro zenon_H3be | zenon_intro zenon_H4e0 ].
% 42.92/43.17 exact (zenon_H3b4 zenon_H3be).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4e0); [ zenon_intro zenon_H2cc | zenon_intro zenon_H4dc ].
% 42.92/43.17 apply (zenon_L465_); trivial.
% 42.92/43.17 apply (zenon_L443_); trivial.
% 42.92/43.17 (* end of lemma zenon_L466_ *)
% 42.92/43.17 assert (zenon_L467_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((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)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((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)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e22) (e22)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((e11) = (e13))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H524 zenon_H2cb zenon_H3b1 zenon_H354 zenon_H35a zenon_H3b0 zenon_H331 zenon_H342 zenon_H3da zenon_H36a zenon_H36e zenon_H37f zenon_H3af zenon_H30b zenon_H3fb zenon_H3a5 zenon_H301 zenon_H2da zenon_H2d6 zenon_H372 zenon_H2f4 zenon_H383 zenon_H43b zenon_H2d2 zenon_H418 zenon_H43a zenon_H2b2 zenon_H27b zenon_H273 zenon_H294 zenon_H39b zenon_H3e0 zenon_H2ae zenon_H29e zenon_H460 zenon_H391 zenon_H2de zenon_H2a2 zenon_H395 zenon_H290 zenon_H464 zenon_H337 zenon_H340 zenon_H463 zenon_H3a0 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H378 zenon_H474 zenon_H45b zenon_H46e zenon_H477 zenon_H287 zenon_H285 zenon_H374 zenon_H4de zenon_H297 zenon_H41 zenon_H4b9 zenon_H8d zenon_H497 zenon_H51f zenon_H39a zenon_H30a.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 42.92/43.17 apply (zenon_L217_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 42.92/43.17 apply (zenon_L218_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 42.92/43.17 apply (zenon_L219_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 42.92/43.17 apply (zenon_L220_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 42.92/43.17 apply (zenon_L221_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 42.92/43.17 apply (zenon_L222_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 42.92/43.17 apply (zenon_L254_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 42.92/43.17 apply (zenon_L257_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 42.92/43.17 apply (zenon_L258_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 42.92/43.17 apply (zenon_L302_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 42.92/43.17 apply (zenon_L303_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 42.92/43.17 apply (zenon_L304_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 42.92/43.17 apply (zenon_L305_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 42.92/43.17 apply (zenon_L306_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 42.92/43.17 apply (zenon_L307_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 42.92/43.17 apply (zenon_L308_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 42.92/43.17 apply (zenon_L309_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 42.92/43.17 apply (zenon_L310_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 42.92/43.17 apply (zenon_L313_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 42.92/43.17 apply (zenon_L322_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 42.92/43.17 apply (zenon_L323_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 42.92/43.17 apply (zenon_L324_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 42.92/43.17 apply (zenon_L325_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 42.92/43.17 apply (zenon_L326_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 42.92/43.17 apply (zenon_L327_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 42.92/43.17 apply (zenon_L328_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 42.92/43.17 apply (zenon_L329_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 42.92/43.17 apply (zenon_L330_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 42.92/43.17 apply (zenon_L337_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 42.92/43.17 apply (zenon_L338_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 42.92/43.17 apply (zenon_L339_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 42.92/43.17 apply (zenon_L340_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 42.92/43.17 apply (zenon_L341_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 42.92/43.17 apply (zenon_L342_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 42.92/43.17 apply (zenon_L343_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 42.92/43.17 apply (zenon_L357_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 42.92/43.17 apply (zenon_L359_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 42.92/43.17 apply (zenon_L360_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 42.92/43.17 apply (zenon_L361_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 42.92/43.17 apply (zenon_L362_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 42.92/43.17 apply (zenon_L363_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 42.92/43.17 apply (zenon_L364_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 42.92/43.17 apply (zenon_L365_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 42.92/43.17 apply (zenon_L366_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.17 apply (zenon_L331_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H258 | zenon_intro zenon_H43d ].
% 42.92/43.17 apply (zenon_L367_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H43d); [ zenon_intro zenon_H266 | zenon_intro zenon_H43e ].
% 42.92/43.17 exact (zenon_H269 zenon_H266).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H32c | zenon_intro zenon_H2f8 ].
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H33f | zenon_intro zenon_H43f ].
% 42.92/43.17 apply (zenon_L261_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H2cc | zenon_intro zenon_H440 ].
% 42.92/43.17 apply (zenon_L465_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H308 ].
% 42.92/43.17 apply (zenon_L370_); trivial.
% 42.92/43.17 exact (zenon_H2e7 zenon_H308).
% 42.92/43.17 exact (zenon_H2fc zenon_H2f8).
% 42.92/43.17 apply (zenon_L290_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.17 apply (zenon_L248_); trivial.
% 42.92/43.17 apply (zenon_L371_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 42.92/43.17 apply (zenon_L373_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 42.92/43.17 apply (zenon_L374_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 42.92/43.17 apply (zenon_L375_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 42.92/43.17 apply (zenon_L376_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 42.92/43.17 apply (zenon_L378_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 42.92/43.17 apply (zenon_L379_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 42.92/43.17 apply (zenon_L380_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 42.92/43.17 apply (zenon_L381_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 42.92/43.17 apply (zenon_L382_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 42.92/43.17 apply (zenon_L383_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 42.92/43.17 apply (zenon_L384_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 42.92/43.17 apply (zenon_L394_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 42.92/43.17 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 42.92/43.17 apply (zenon_L466_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.17 apply (zenon_L400_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.17 apply (zenon_L391_); trivial.
% 42.92/43.17 apply (zenon_L393_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 42.92/43.17 apply (zenon_L401_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 42.92/43.17 apply (zenon_L402_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 42.92/43.17 apply (zenon_L403_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 42.92/43.17 apply (zenon_L404_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 42.92/43.17 apply (zenon_L405_); trivial.
% 42.92/43.17 apply (zenon_L406_); trivial.
% 42.92/43.17 (* end of lemma zenon_L467_ *)
% 42.92/43.17 assert (zenon_L468_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e12)) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H39b zenon_H330 zenon_H374 zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 42.92/43.17 apply (zenon_L345_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 42.92/43.17 apply (zenon_L233_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 42.92/43.17 apply (zenon_L280_); trivial.
% 42.92/43.17 apply (zenon_L284_); trivial.
% 42.92/43.17 (* end of lemma zenon_L468_ *)
% 42.92/43.17 assert (zenon_L469_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op1 (e12) (e12)) = (e11)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H4b5 zenon_H54 zenon_H53 zenon_H1a6 zenon_H41 zenon_H4b9 zenon_H2cc zenon_H497 zenon_H51f zenon_H1ba zenon_H137.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 42.92/43.17 apply (zenon_L16_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 42.92/43.17 exact (zenon_H1a6 zenon_H1a9).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 42.92/43.17 apply (zenon_L465_); trivial.
% 42.92/43.17 apply (zenon_L430_); trivial.
% 42.92/43.17 (* end of lemma zenon_L469_ *)
% 42.92/43.17 assert (zenon_L470_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H100 zenon_Hef zenon_H86 zenon_Haa zenon_Ha4 zenon_Hf6 zenon_Hdd zenon_H43 zenon_H119 zenon_H11a zenon_Hf3 zenon_Hfa zenon_H159 zenon_H8d zenon_H130 zenon_H11f zenon_H2f zenon_H30 zenon_H125 zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_H12c.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 42.92/43.17 apply (zenon_L63_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 42.92/43.17 apply (zenon_L52_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 42.92/43.17 apply (zenon_L78_); trivial.
% 42.92/43.17 apply (zenon_L81_); trivial.
% 42.92/43.17 (* end of lemma zenon_L470_ *)
% 42.92/43.17 assert (zenon_L471_ : ((op2 (e22) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (h2 (e12)) (h2 (e13))))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H93 zenon_H4b9 zenon_H4c9 zenon_H2d zenon_H41 zenon_H565.
% 42.92/43.17 elim (classic ((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [ zenon_intro zenon_H566 | zenon_intro zenon_H567 ].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13)))) = ((op2 (e21) (e21)) = (op2 (h2 (e12)) (h2 (e13))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H565.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H566.
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H567].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H568].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op2 (e22) (e23)) = (e22)) = ((op2 (h2 (e12)) (h2 (e13))) = (op2 (e21) (e21)))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H568.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H93.
% 42.92/43.17 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 42.92/43.17 cut (((op2 (e22) (e23)) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H569].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [ zenon_intro zenon_H566 | zenon_intro zenon_H567 ].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13)))) = ((op2 (e22) (e23)) = (op2 (h2 (e12)) (h2 (e13))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H569.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H566.
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H567].
% 42.92/43.17 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H56a].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4c8].
% 42.92/43.17 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4b8].
% 42.92/43.17 congruence.
% 42.92/43.17 apply (zenon_L434_); trivial.
% 42.92/43.17 apply (zenon_L437_); trivial.
% 42.92/43.17 apply zenon_H567. apply refl_equal.
% 42.92/43.17 apply zenon_H567. apply refl_equal.
% 42.92/43.17 exact (zenon_H56 zenon_H41).
% 42.92/43.17 apply zenon_H567. apply refl_equal.
% 42.92/43.17 apply zenon_H567. apply refl_equal.
% 42.92/43.17 (* end of lemma zenon_L471_ *)
% 42.92/43.17 assert (zenon_L472_ : (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((op2 (e22) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H56b zenon_H2d0 zenon_H93 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d.
% 42.92/43.17 cut (((h2 (e12)) = (op2 (e21) (e21))) = ((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H56b.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H4b9.
% 42.92/43.17 cut (((op2 (e21) (e21)) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H565].
% 42.92/43.17 cut (((h2 (e12)) = (h2 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H56c].
% 42.92/43.17 congruence.
% 42.92/43.17 elim (classic ((h2 (op1 (e12) (e13))) = (h2 (op1 (e12) (e13))))); [ zenon_intro zenon_H56d | zenon_intro zenon_H56e ].
% 42.92/43.17 cut (((h2 (op1 (e12) (e13))) = (h2 (op1 (e12) (e13)))) = ((h2 (e12)) = (h2 (op1 (e12) (e13))))).
% 42.92/43.17 intro zenon_D_pnotp.
% 42.92/43.17 apply zenon_H56c.
% 42.92/43.17 rewrite <- zenon_D_pnotp.
% 42.92/43.17 exact zenon_H56d.
% 42.92/43.17 cut (((h2 (op1 (e12) (e13))) = (h2 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H56e].
% 42.92/43.17 cut (((h2 (op1 (e12) (e13))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H56f].
% 42.92/43.17 congruence.
% 42.92/43.17 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H322].
% 42.92/43.17 congruence.
% 42.92/43.17 exact (zenon_H322 zenon_H2d0).
% 42.92/43.17 apply zenon_H56e. apply refl_equal.
% 42.92/43.17 apply zenon_H56e. apply refl_equal.
% 42.92/43.17 apply (zenon_L471_); trivial.
% 42.92/43.17 (* end of lemma zenon_L472_ *)
% 42.92/43.17 assert (zenon_L473_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H570 zenon_H338 zenon_H372 zenon_H2a2 zenon_H340 zenon_H40d zenon_H285 zenon_H56b zenon_H93 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H570); [ zenon_intro zenon_H34c | zenon_intro zenon_H571 ].
% 42.92/43.17 apply (zenon_L350_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H571); [ zenon_intro zenon_H41f | zenon_intro zenon_H572 ].
% 42.92/43.17 apply (zenon_L358_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H572); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H2d0 ].
% 42.92/43.17 apply (zenon_L369_); trivial.
% 42.92/43.17 apply (zenon_L472_); trivial.
% 42.92/43.17 (* end of lemma zenon_L473_ *)
% 42.92/43.17 assert (zenon_L474_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (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 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H342 zenon_H32e zenon_H331 zenon_H301 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H378 zenon_H570 zenon_H372 zenon_H2a2 zenon_H340 zenon_H40d zenon_H285 zenon_H56b zenon_H93 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H330 | zenon_intro zenon_H34a ].
% 42.92/43.17 exact (zenon_H32e zenon_H330).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H332 | zenon_intro zenon_H34b ].
% 42.92/43.17 apply (zenon_L259_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H34c | zenon_intro zenon_H338 ].
% 42.92/43.17 apply (zenon_L352_); trivial.
% 42.92/43.17 apply (zenon_L473_); trivial.
% 42.92/43.17 (* end of lemma zenon_L474_ *)
% 42.92/43.17 assert (zenon_L475_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e10)) = (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 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (e10)) = (e11)) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e12) (e11)) = (e10)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H3a5 zenon_H360 zenon_H337 zenon_H293 zenon_H285 zenon_H271 zenon_H36a zenon_H378 zenon_H372 zenon_H287 zenon_H374 zenon_H301 zenon_H36e zenon_H36f zenon_H274 zenon_H369 zenon_H37f zenon_H303 zenon_H383.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 42.92/43.17 apply (zenon_L268_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 42.92/43.17 exact (zenon_H293 zenon_H28f).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 42.92/43.17 apply (zenon_L276_); trivial.
% 42.92/43.17 apply (zenon_L277_); trivial.
% 42.92/43.17 (* end of lemma zenon_L475_ *)
% 42.92/43.17 assert (zenon_L476_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((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 (e13) (e11)) = (op1 (e13) (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)))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (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) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (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 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H93 zenon_H56b zenon_H340 zenon_H570 zenon_H3e0 zenon_H331 zenon_H32e zenon_H342 zenon_H39b zenon_H273 zenon_H3b1 zenon_H37f zenon_H36e zenon_H301 zenon_H374 zenon_H287 zenon_H372 zenon_H378 zenon_H36a zenon_H293 zenon_H337 zenon_H3a5 zenon_H2f7 zenon_H305 zenon_H26e zenon_H3b4 zenon_H2da zenon_H2c5 zenon_H3fb zenon_H2d2 zenon_H2d6 zenon_H269 zenon_H3af zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 42.92/43.17 exact (zenon_H32e zenon_H330).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 42.92/43.17 apply (zenon_L347_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 42.92/43.17 apply (zenon_L474_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H266 | zenon_intro zenon_H3b8 ].
% 42.92/43.17 exact (zenon_H269 zenon_H266).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H34e | zenon_intro zenon_H3b9 ].
% 42.92/43.17 apply (zenon_L265_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H369 | zenon_intro zenon_H275 ].
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3b1); [ zenon_intro zenon_H36f | zenon_intro zenon_H3ba ].
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 42.92/43.17 apply (zenon_L249_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 42.92/43.17 apply (zenon_L250_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 42.92/43.17 apply (zenon_L239_); trivial.
% 42.92/43.17 apply (zenon_L475_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3ba); [ zenon_intro zenon_H26f | zenon_intro zenon_H3bd ].
% 42.92/43.17 exact (zenon_H26e zenon_H26f).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H3bd); [ zenon_intro zenon_H3be | zenon_intro zenon_H387 ].
% 42.92/43.17 exact (zenon_H3b4 zenon_H3be).
% 42.92/43.17 apply (zenon_L334_); trivial.
% 42.92/43.17 apply (zenon_L224_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 42.92/43.17 apply (zenon_L233_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 42.92/43.17 apply (zenon_L280_); trivial.
% 42.92/43.17 apply (zenon_L284_); trivial.
% 42.92/43.17 (* end of lemma zenon_L476_ *)
% 42.92/43.17 assert (zenon_L477_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((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 (e13) (e11)) = (op1 (e13) (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)))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (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) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (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 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.17 do 0 intro. intros zenon_H147 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H125 zenon_H30 zenon_H2f zenon_H11f zenon_H130 zenon_H8d zenon_H159 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Hef zenon_H100 zenon_H146 zenon_H101 zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H570 zenon_H3e0 zenon_H331 zenon_H32e zenon_H342 zenon_H39b zenon_H273 zenon_H3b1 zenon_H37f zenon_H36e zenon_H301 zenon_H374 zenon_H287 zenon_H372 zenon_H378 zenon_H36a zenon_H293 zenon_H337 zenon_H3a5 zenon_H2f7 zenon_H305 zenon_H26e zenon_H3b4 zenon_H2da zenon_H2c5 zenon_H3fb zenon_H2d2 zenon_H2d6 zenon_H269 zenon_H3af zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 42.92/43.17 apply (zenon_L470_); trivial.
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 42.92/43.17 exact (zenon_H146 zenon_H14a).
% 42.92/43.17 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 42.92/43.17 exact (zenon_H101 zenon_H104).
% 42.92/43.17 apply (zenon_L476_); trivial.
% 42.92/43.17 (* end of lemma zenon_L477_ *)
% 42.92/43.17 assert (zenon_L478_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (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 (e12) (e10)) = (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 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (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) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (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 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (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 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H10d zenon_H290 zenon_H285 zenon_H271 zenon_H395 zenon_H274 zenon_H2fd zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H32c zenon_H383 zenon_H3af zenon_H269 zenon_H2d6 zenon_H2d2 zenon_H3fb zenon_H2c5 zenon_H2da zenon_H3b4 zenon_H26e zenon_H305 zenon_H2f7 zenon_H3a5 zenon_H337 zenon_H293 zenon_H36a zenon_H378 zenon_H372 zenon_H287 zenon_H374 zenon_H301 zenon_H36e zenon_H37f zenon_H3b1 zenon_H273 zenon_H39b zenon_H342 zenon_H32e zenon_H331 zenon_H3e0 zenon_H570 zenon_H340 zenon_H56b zenon_H4b9 zenon_H4c9 zenon_H297 zenon_H418 zenon_H146 zenon_H119 zenon_H159 zenon_H130 zenon_H11f zenon_H125 zenon_H131 zenon_H82 zenon_H12c zenon_H147 zenon_H9d zenon_H92 zenon_H8c zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_Hef zenon_H43 zenon_Hba zenon_H84 zenon_Hf3 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.18 apply (zenon_L477_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.18 apply (zenon_L17_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.18 apply (zenon_L30_); trivial.
% 42.92/43.18 apply (zenon_L57_); trivial.
% 42.92/43.18 (* end of lemma zenon_L478_ *)
% 42.92/43.18 assert (zenon_L479_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((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 (e13) (e11)) = (op1 (e13) (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)))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (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) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (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 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H147 zenon_Hb0 zenon_Hb8 zenon_H119 zenon_H146 zenon_H101 zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H570 zenon_H3e0 zenon_H331 zenon_H32e zenon_H342 zenon_H39b zenon_H273 zenon_H3b1 zenon_H37f zenon_H36e zenon_H301 zenon_H374 zenon_H287 zenon_H372 zenon_H378 zenon_H36a zenon_H293 zenon_H337 zenon_H3a5 zenon_H2f7 zenon_H305 zenon_H26e zenon_H3b4 zenon_H2da zenon_H2c5 zenon_H3fb zenon_H2d2 zenon_H2d6 zenon_H269 zenon_H3af zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 42.92/43.18 apply (zenon_L61_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 42.92/43.18 exact (zenon_H146 zenon_H14a).
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 42.92/43.18 exact (zenon_H101 zenon_H104).
% 42.92/43.18 apply (zenon_L476_); trivial.
% 42.92/43.18 (* end of lemma zenon_L479_ *)
% 42.92/43.18 assert (zenon_L480_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H93 zenon_H56b zenon_H340 zenon_H2a2 zenon_H372 zenon_H570 zenon_H378 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H32e zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 42.92/43.18 exact (zenon_H32e zenon_H330).
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 42.92/43.18 apply (zenon_L347_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 42.92/43.18 apply (zenon_L474_); trivial.
% 42.92/43.18 apply (zenon_L256_); trivial.
% 42.92/43.18 (* end of lemma zenon_L480_ *)
% 42.92/43.18 assert (zenon_L481_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H147 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H125 zenon_H30 zenon_H2f zenon_H11f zenon_H130 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Hef zenon_H100 zenon_H5e zenon_H159 zenon_H8d zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H2a2 zenon_H372 zenon_H570 zenon_H378 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H32e zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 42.92/43.18 apply (zenon_L470_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 42.92/43.18 apply (zenon_L184_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 42.92/43.18 apply (zenon_L78_); trivial.
% 42.92/43.18 apply (zenon_L480_); trivial.
% 42.92/43.18 (* end of lemma zenon_L481_ *)
% 42.92/43.18 assert (zenon_L482_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((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 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H3ae zenon_H30a zenon_H10d zenon_H5e zenon_H10a zenon_H106 zenon_H22 zenon_H84 zenon_Heb zenon_He9 zenon_Hc9 zenon_H6a zenon_Hd5 zenon_Hd9 zenon_H8c zenon_H95 zenon_H92 zenon_H9d zenon_Ha1 zenon_H5a zenon_H100 zenon_H11f zenon_H2f zenon_H125 zenon_H131 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H130 zenon_H8d zenon_H159 zenon_Hfa zenon_H119 zenon_H41 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Hef zenon_H86 zenon_Haa zenon_H2d zenon_H30 zenon_Ha4 zenon_Hf3 zenon_H146 zenon_H101 zenon_H418 zenon_H3af zenon_H273 zenon_H37f zenon_H374 zenon_H36e zenon_H36a zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H3fb zenon_H3b1 zenon_H331 zenon_H378 zenon_H301 zenon_H3e0 zenon_H287 zenon_H372 zenon_H570 zenon_H4b9 zenon_H4c9 zenon_H56b zenon_H340 zenon_H342 zenon_H297 zenon_H147 zenon_H39a zenon_H305 zenon_H337 zenon_H290 zenon_H285 zenon_H3a0 zenon_H3a5 zenon_H2c5 zenon_H2fd zenon_H271 zenon_H274 zenon_H2f7 zenon_H29e zenon_H383 zenon_H2ae zenon_H2de zenon_H391 zenon_H395 zenon_H2a2 zenon_H39b.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.18 apply (zenon_L262_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_H26e | zenon_intro zenon_H26f ].
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 42.92/43.18 apply (zenon_L478_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.18 apply (zenon_L481_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.18 apply (zenon_L17_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.18 apply (zenon_L30_); trivial.
% 42.92/43.18 apply (zenon_L57_); trivial.
% 42.92/43.18 apply (zenon_L289_); trivial.
% 42.92/43.18 apply (zenon_L291_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.18 apply (zenon_L292_); trivial.
% 42.92/43.18 apply (zenon_L301_); trivial.
% 42.92/43.18 (* end of lemma zenon_L482_ *)
% 42.92/43.18 assert (zenon_L483_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H147 zenon_Hb0 zenon_Hb8 zenon_H119 zenon_H146 zenon_H101 zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H2a2 zenon_H372 zenon_H570 zenon_H378 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H32e zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 42.92/43.18 apply (zenon_L61_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 42.92/43.18 exact (zenon_H146 zenon_H14a).
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 42.92/43.18 exact (zenon_H101 zenon_H104).
% 42.92/43.18 apply (zenon_L480_); trivial.
% 42.92/43.18 (* end of lemma zenon_L483_ *)
% 42.92/43.18 assert (zenon_L484_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (e10))) -> (~((op1 (e11) (e11)) = (e10))) -> (~((e10) = (e13))) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (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) (e10)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H3af zenon_H269 zenon_H34f zenon_H383 zenon_H303 zenon_H37f zenon_H36f zenon_H36e zenon_H301 zenon_H374 zenon_H287 zenon_H372 zenon_H378 zenon_H36a zenon_H285 zenon_H293 zenon_H3e4 zenon_H3a5 zenon_H273 zenon_H274 zenon_H271.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H3af); [ zenon_intro zenon_H266 | zenon_intro zenon_H3b8 ].
% 42.92/43.18 exact (zenon_H269 zenon_H266).
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H3b8); [ zenon_intro zenon_H34e | zenon_intro zenon_H3b9 ].
% 42.92/43.18 exact (zenon_H34f zenon_H34e).
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H3b9); [ zenon_intro zenon_H369 | zenon_intro zenon_H275 ].
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 42.92/43.18 exact (zenon_H3e4 zenon_H361).
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 42.92/43.18 exact (zenon_H293 zenon_H28f).
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 42.92/43.18 apply (zenon_L276_); trivial.
% 42.92/43.18 apply (zenon_L277_); trivial.
% 42.92/43.18 apply (zenon_L224_); trivial.
% 42.92/43.18 (* end of lemma zenon_L484_ *)
% 42.92/43.18 assert (zenon_L485_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (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) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (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 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H342 zenon_H290 zenon_H395 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H3e4 zenon_H3a5 zenon_H374 zenon_H39b zenon_H331 zenon_H301 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H378 zenon_H570 zenon_H372 zenon_H2a2 zenon_H340 zenon_H40d zenon_H285 zenon_H56b zenon_H93 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H330 | zenon_intro zenon_H34a ].
% 42.92/43.18 apply (zenon_L346_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H332 | zenon_intro zenon_H34b ].
% 42.92/43.18 apply (zenon_L259_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H34c | zenon_intro zenon_H338 ].
% 42.92/43.18 apply (zenon_L352_); trivial.
% 42.92/43.18 apply (zenon_L473_); trivial.
% 42.92/43.18 (* end of lemma zenon_L485_ *)
% 42.92/43.18 assert (zenon_L486_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H93 zenon_H56b zenon_H340 zenon_H2a2 zenon_H372 zenon_H570 zenon_H378 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H3a5 zenon_H3e4 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 42.92/43.18 apply (zenon_L346_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 42.92/43.18 apply (zenon_L347_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 42.92/43.18 apply (zenon_L485_); trivial.
% 42.92/43.18 apply (zenon_L256_); trivial.
% 42.92/43.18 (* end of lemma zenon_L486_ *)
% 42.92/43.18 assert (zenon_L487_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H147 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H125 zenon_H30 zenon_H2f zenon_H11f zenon_H130 zenon_H8d zenon_H159 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Hef zenon_H100 zenon_H146 zenon_H101 zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H2a2 zenon_H372 zenon_H570 zenon_H378 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H3a5 zenon_H3e4 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 42.92/43.18 apply (zenon_L470_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 42.92/43.18 exact (zenon_H146 zenon_H14a).
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 42.92/43.18 exact (zenon_H101 zenon_H104).
% 42.92/43.18 apply (zenon_L486_); trivial.
% 42.92/43.18 (* end of lemma zenon_L487_ *)
% 42.92/43.18 assert (zenon_L488_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (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) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H3e9 zenon_H30a zenon_H147 zenon_H39b zenon_H391 zenon_H2a2 zenon_H2fd zenon_H2de zenon_H395 zenon_H3e0 zenon_H2ae zenon_H29e zenon_H297 zenon_H342 zenon_H340 zenon_H56b zenon_H4c9 zenon_H4b9 zenon_H570 zenon_H305 zenon_H2c5 zenon_H2f7 zenon_H331 zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H418 zenon_H101 zenon_H146 zenon_Hf3 zenon_Ha4 zenon_H30 zenon_H2d zenon_Haa zenon_H86 zenon_Hef zenon_Hf6 zenon_Hdd zenon_H43 zenon_H41 zenon_H119 zenon_Hfa zenon_H159 zenon_H8d zenon_H130 zenon_Hba zenon_H4c zenon_H82 zenon_H12c zenon_H131 zenon_H125 zenon_H2f zenon_H11f zenon_H100 zenon_H5a zenon_Ha1 zenon_H9d zenon_H92 zenon_H95 zenon_H8c zenon_Hd9 zenon_Hd5 zenon_H6a zenon_Hc9 zenon_He9 zenon_Heb zenon_H84 zenon_H22 zenon_H106 zenon_H10a zenon_H5e zenon_H10d zenon_H36a zenon_H274 zenon_H36e zenon_H378 zenon_H374 zenon_H287 zenon_H372 zenon_H37f zenon_H273 zenon_H3af zenon_H39a zenon_H301 zenon_H383 zenon_H290 zenon_H271 zenon_H285 zenon_H3a0 zenon_H3a5.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 42.92/43.18 apply (zenon_L314_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 42.92/43.18 apply (zenon_L484_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.18 apply (zenon_L487_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.18 apply (zenon_L17_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 42.92/43.18 apply (zenon_L30_); trivial.
% 42.92/43.18 apply (zenon_L57_); trivial.
% 42.92/43.18 apply (zenon_L319_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 42.92/43.18 apply (zenon_L320_); trivial.
% 42.92/43.18 apply (zenon_L321_); trivial.
% 42.92/43.18 (* end of lemma zenon_L488_ *)
% 42.92/43.18 assert (zenon_L489_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H147 zenon_Hb0 zenon_Hb8 zenon_H119 zenon_H146 zenon_H101 zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H2a2 zenon_H372 zenon_H570 zenon_H378 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H3a5 zenon_H3e4 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 42.92/43.18 apply (zenon_L61_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 42.92/43.18 exact (zenon_H146 zenon_H14a).
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 42.92/43.18 exact (zenon_H101 zenon_H104).
% 42.92/43.18 apply (zenon_L486_); trivial.
% 42.92/43.18 (* end of lemma zenon_L489_ *)
% 42.92/43.18 assert (zenon_L490_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H147 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H125 zenon_H30 zenon_H2f zenon_H11f zenon_H130 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Hef zenon_H100 zenon_H5e zenon_H159 zenon_H8d zenon_H56b zenon_H2d0 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 42.92/43.18 apply (zenon_L470_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 42.92/43.18 apply (zenon_L184_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 42.92/43.18 apply (zenon_L78_); trivial.
% 42.92/43.18 apply (zenon_L472_); trivial.
% 42.92/43.18 (* end of lemma zenon_L490_ *)
% 42.92/43.18 assert (zenon_L491_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (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 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 42.92/43.18 do 0 intro. intros zenon_H439 zenon_H10d zenon_H4c9 zenon_H4b9 zenon_H56b zenon_H159 zenon_H119 zenon_H130 zenon_H11f zenon_H125 zenon_H131 zenon_H82 zenon_H12c zenon_H147 zenon_H9d zenon_H92 zenon_H8c zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_Hef zenon_H43 zenon_Hba zenon_H84 zenon_Hf3 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 42.92/43.18 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 42.92/43.18 apply (zenon_L490_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 42.92/43.18 apply (zenon_L17_); trivial.
% 42.92/43.18 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.04/43.19 apply (zenon_L30_); trivial.
% 43.04/43.19 apply (zenon_L57_); trivial.
% 43.04/43.19 (* end of lemma zenon_L491_ *)
% 43.04/43.19 assert (zenon_L492_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H147 zenon_Hb0 zenon_Hb8 zenon_H119 zenon_H146 zenon_H101 zenon_H56b zenon_H2d0 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.04/43.19 apply (zenon_L61_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.04/43.19 exact (zenon_H146 zenon_H14a).
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.04/43.19 exact (zenon_H101 zenon_H104).
% 43.04/43.19 apply (zenon_L472_); trivial.
% 43.04/43.19 (* end of lemma zenon_L492_ *)
% 43.04/43.19 assert (zenon_L493_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H3e0 zenon_H2a7 zenon_H2d1 zenon_H375.
% 43.04/43.19 cut (((op1 (e10) (op1 (e10) (e13))) = (e13)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 43.04/43.19 intro zenon_D_pnotp.
% 43.04/43.19 apply zenon_H3e0.
% 43.04/43.19 rewrite <- zenon_D_pnotp.
% 43.04/43.19 exact zenon_H2a7.
% 43.04/43.19 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a1].
% 43.04/43.19 cut (((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H573].
% 43.04/43.19 congruence.
% 43.04/43.19 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H40f | zenon_intro zenon_H410 ].
% 43.04/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (op1 (e10) (e13))) = (op1 (e10) (e12)))).
% 43.04/43.19 intro zenon_D_pnotp.
% 43.04/43.19 apply zenon_H573.
% 43.04/43.19 rewrite <- zenon_D_pnotp.
% 43.04/43.19 exact zenon_H40f.
% 43.04/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H410].
% 43.04/43.19 cut (((op1 (e10) (e12)) = (op1 (e10) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H574].
% 43.04/43.19 congruence.
% 43.04/43.19 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2d4].
% 43.04/43.19 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H27a].
% 43.04/43.19 congruence.
% 43.04/43.19 apply zenon_H27a. apply refl_equal.
% 43.04/43.19 apply zenon_H2d4. apply sym_equal. exact zenon_H2d1.
% 43.04/43.19 apply zenon_H410. apply refl_equal.
% 43.04/43.19 apply zenon_H410. apply refl_equal.
% 43.04/43.19 apply zenon_H3a1. apply sym_equal. exact zenon_H375.
% 43.04/43.19 (* end of lemma zenon_L493_ *)
% 43.04/43.19 assert (zenon_L494_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H30b zenon_H375 zenon_H2a7 zenon_H3e0 zenon_H2de zenon_H285 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H93 zenon_H56b zenon_H458.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H312 ].
% 43.04/43.19 apply (zenon_L493_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H2dd | zenon_intro zenon_H313 ].
% 43.04/43.19 apply (zenon_L244_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H302 ].
% 43.04/43.19 apply (zenon_L472_); trivial.
% 43.04/43.19 exact (zenon_H458 zenon_H302).
% 43.04/43.19 (* end of lemma zenon_L494_ *)
% 43.04/43.19 assert (zenon_L495_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H147 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H125 zenon_H30 zenon_H2f zenon_H11f zenon_H130 zenon_H8d zenon_H159 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Hef zenon_H100 zenon_H146 zenon_H101 zenon_H30b zenon_H375 zenon_H2a7 zenon_H3e0 zenon_H2de zenon_H285 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H458.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.04/43.19 apply (zenon_L470_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.04/43.19 exact (zenon_H146 zenon_H14a).
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.04/43.19 exact (zenon_H101 zenon_H104).
% 43.04/43.19 apply (zenon_L494_); trivial.
% 43.04/43.19 (* end of lemma zenon_L495_ *)
% 43.04/43.19 assert (zenon_L496_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H462 zenon_H30a zenon_H4c zenon_H41 zenon_H2d zenon_H10a zenon_He9 zenon_Hdd zenon_H95 zenon_Hd9 zenon_Hc9 zenon_H5e zenon_H6a zenon_Hd5 zenon_H2f zenon_Heb zenon_Haa zenon_Ha4 zenon_Hf6 zenon_H101 zenon_Hfa zenon_Hf3 zenon_H84 zenon_Hba zenon_H43 zenon_Hef zenon_H100 zenon_H22 zenon_H5a zenon_H106 zenon_H8d zenon_H86 zenon_H30 zenon_Ha1 zenon_H8c zenon_H92 zenon_H9d zenon_H147 zenon_H12c zenon_H82 zenon_H131 zenon_H125 zenon_H11f zenon_H130 zenon_H159 zenon_H119 zenon_H146 zenon_H30b zenon_H4c9 zenon_H4b9 zenon_H56b zenon_H10d zenon_H290 zenon_H285 zenon_H395 zenon_H2a2 zenon_H2de zenon_H391 zenon_H460 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H374 zenon_H39b zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.04/43.19 apply (zenon_L495_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.04/43.19 apply (zenon_L17_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.04/43.19 apply (zenon_L30_); trivial.
% 43.04/43.19 apply (zenon_L57_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.04/43.19 apply (zenon_L390_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.04/43.19 apply (zenon_L391_); trivial.
% 43.04/43.19 apply (zenon_L393_); trivial.
% 43.04/43.19 (* end of lemma zenon_L496_ *)
% 43.04/43.19 assert (zenon_L497_ : (((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))))))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H2b1 zenon_H30b zenon_H375 zenon_H3e0 zenon_H2de zenon_H285 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H93 zenon_H56b zenon_H458.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.04/43.19 apply (zenon_L494_); trivial.
% 43.04/43.19 (* end of lemma zenon_L497_ *)
% 43.04/43.19 assert (zenon_L498_ : ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H30a zenon_H56b zenon_H93 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H30b zenon_H290 zenon_H285 zenon_H395 zenon_H2a2 zenon_H2de zenon_H391 zenon_H460 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H374 zenon_H330 zenon_H39b zenon_H458 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0 zenon_H375.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.04/43.19 apply (zenon_L497_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.04/43.19 apply (zenon_L390_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.04/43.19 apply (zenon_L391_); trivial.
% 43.04/43.19 apply (zenon_L393_); trivial.
% 43.04/43.19 (* end of lemma zenon_L498_ *)
% 43.04/43.19 assert (zenon_L499_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e22)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H147 zenon_Hb0 zenon_Hb8 zenon_H119 zenon_H146 zenon_H101 zenon_H30a zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H30b zenon_H290 zenon_H285 zenon_H395 zenon_H2a2 zenon_H2de zenon_H391 zenon_H460 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H374 zenon_H330 zenon_H39b zenon_H458 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0 zenon_H375.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.04/43.19 apply (zenon_L61_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.04/43.19 exact (zenon_H146 zenon_H14a).
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.04/43.19 exact (zenon_H101 zenon_H104).
% 43.04/43.19 apply (zenon_L498_); trivial.
% 43.04/43.19 (* end of lemma zenon_L499_ *)
% 43.04/43.19 assert (zenon_L500_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H30b zenon_H2d6 zenon_H271 zenon_H2d2 zenon_H2cb zenon_H2cc zenon_H2c5 zenon_H274 zenon_H2da zenon_H2de zenon_H285 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H93 zenon_H56b zenon_H458.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H312 ].
% 43.04/43.19 apply (zenon_L243_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H2dd | zenon_intro zenon_H313 ].
% 43.04/43.19 apply (zenon_L244_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H302 ].
% 43.04/43.19 apply (zenon_L472_); trivial.
% 43.04/43.19 exact (zenon_H458 zenon_H302).
% 43.04/43.19 (* end of lemma zenon_L500_ *)
% 43.04/43.19 assert (zenon_L501_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H4de zenon_H298 zenon_H297 zenon_H3b4 zenon_H458 zenon_H56b zenon_H93 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H285 zenon_H2de zenon_H2da zenon_H274 zenon_H2c5 zenon_H2cb zenon_H2d2 zenon_H271 zenon_H2d6 zenon_H30b zenon_H39a zenon_H375.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H4de); [ zenon_intro zenon_H299 | zenon_intro zenon_H4df ].
% 43.04/43.19 apply (zenon_L232_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H4df); [ zenon_intro zenon_H3be | zenon_intro zenon_H4e0 ].
% 43.04/43.19 exact (zenon_H3b4 zenon_H3be).
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H4e0); [ zenon_intro zenon_H2cc | zenon_intro zenon_H4dc ].
% 43.04/43.19 apply (zenon_L500_); trivial.
% 43.04/43.19 apply (zenon_L443_); trivial.
% 43.04/43.19 (* end of lemma zenon_L501_ *)
% 43.04/43.19 assert (zenon_L502_ : ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (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))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H181 zenon_H294 zenon_H290 zenon_H285 zenon_H287 zenon_H27b zenon_H271 zenon_H274 zenon_H273 zenon_H297 zenon_H2ae zenon_H2a2 zenon_H29e zenon_H2b2 zenon_H30b zenon_H2f7 zenon_H2fd zenon_H301 zenon_H305 zenon_H2f4 zenon_H2de zenon_H2c5 zenon_H2cb zenon_H2d2 zenon_H2d6 zenon_H2da zenon_H30a zenon_H342 zenon_H337 zenon_H331 zenon_H340 zenon_H10d zenon_H5e zenon_H10a zenon_H106 zenon_H22 zenon_H84 zenon_Heb zenon_He9 zenon_Hc9 zenon_H6a zenon_Hd5 zenon_Hd9 zenon_H8c zenon_H95 zenon_H92 zenon_H9d zenon_Ha1 zenon_H5a zenon_H100 zenon_H11f zenon_H2f zenon_H125 zenon_H131 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H130 zenon_H8d zenon_H159 zenon_Hfa zenon_H119 zenon_H41 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Hef zenon_H86 zenon_Haa zenon_H2d zenon_H30 zenon_Ha4 zenon_Hf3 zenon_H146 zenon_H418 zenon_H3af zenon_H37f zenon_H374 zenon_H36e zenon_H36a zenon_H383 zenon_H3a5 zenon_H3fb zenon_H3b1 zenon_H391 zenon_H395 zenon_H39b zenon_H378 zenon_H3e0 zenon_H372 zenon_H570 zenon_H4b9 zenon_H4c9 zenon_H56b zenon_H147 zenon_H39a zenon_H3a0 zenon_H3da zenon_H460 zenon_H4de zenon_H477 zenon_H474 zenon_H45b zenon_H46e zenon_H524.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H101 | zenon_intro zenon_H104 ].
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.04/43.19 apply (zenon_L217_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.04/43.19 apply (zenon_L218_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.04/43.19 apply (zenon_L219_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.04/43.19 apply (zenon_L220_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.04/43.19 apply (zenon_L221_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.04/43.19 apply (zenon_L222_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.04/43.19 apply (zenon_L254_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.04/43.19 apply (zenon_L257_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.04/43.19 apply (zenon_L258_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.04/43.19 apply (zenon_L482_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.04/43.19 apply (zenon_L303_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.04/43.19 apply (zenon_L304_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.04/43.19 apply (zenon_L305_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.04/43.19 apply (zenon_L306_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.04/43.19 apply (zenon_L307_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.04/43.19 apply (zenon_L308_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.04/43.19 apply (zenon_L309_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.04/43.19 apply (zenon_L310_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.04/43.19 apply (zenon_L313_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.04/43.19 apply (zenon_L488_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.04/43.19 apply (zenon_L323_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.04/43.19 apply (zenon_L324_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.04/43.19 apply (zenon_L325_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.04/43.19 apply (zenon_L326_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.04/43.19 apply (zenon_L327_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.04/43.19 apply (zenon_L328_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.04/43.19 apply (zenon_L329_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.04/43.19 apply (zenon_L330_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.04/43.19 apply (zenon_L337_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.04/43.19 apply (zenon_L338_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.04/43.19 apply (zenon_L339_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.04/43.19 apply (zenon_L340_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.04/43.19 apply (zenon_L341_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.04/43.19 apply (zenon_L342_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.04/43.19 apply (zenon_L343_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.04/43.19 apply (zenon_L357_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.04/43.19 apply (zenon_L359_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.04/43.19 apply (zenon_L360_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.04/43.19 apply (zenon_L361_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.04/43.19 apply (zenon_L362_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.04/43.19 apply (zenon_L363_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.04/43.19 apply (zenon_L364_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.04/43.19 apply (zenon_L365_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.04/43.19 apply (zenon_L366_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.04/43.19 apply (zenon_L491_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.04/43.19 apply (zenon_L373_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.04/43.19 apply (zenon_L374_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.04/43.19 apply (zenon_L375_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.04/43.19 apply (zenon_L376_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.04/43.19 apply (zenon_L378_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.04/43.19 apply (zenon_L379_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.04/43.19 apply (zenon_L380_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.04/43.19 apply (zenon_L381_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.04/43.19 apply (zenon_L382_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.04/43.19 apply (zenon_L383_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.04/43.19 apply (zenon_L384_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.04/43.19 apply (zenon_L496_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.04/43.19 apply (zenon_L470_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.04/43.19 exact (zenon_H146 zenon_H14a).
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.04/43.19 exact (zenon_H101 zenon_H104).
% 43.04/43.19 apply (zenon_L501_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.04/43.19 apply (zenon_L17_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.04/43.19 apply (zenon_L30_); trivial.
% 43.04/43.19 apply (zenon_L57_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.04/43.19 apply (zenon_L400_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.04/43.19 apply (zenon_L391_); trivial.
% 43.04/43.19 apply (zenon_L393_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.04/43.19 apply (zenon_L401_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.04/43.19 apply (zenon_L402_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.04/43.19 apply (zenon_L403_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.04/43.19 apply (zenon_L404_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.04/43.19 apply (zenon_L405_); trivial.
% 43.04/43.19 apply (zenon_L406_); trivial.
% 43.04/43.19 apply (zenon_L78_); trivial.
% 43.04/43.19 (* end of lemma zenon_L502_ *)
% 43.04/43.19 assert (zenon_L503_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H575 zenon_He9 zenon_Hb0 zenon_H1ab zenon_H375 zenon_H39a zenon_H30b zenon_H2d6 zenon_H271 zenon_H2d2 zenon_H2cb zenon_H2c5 zenon_H274 zenon_H2da zenon_H2de zenon_H285 zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H458 zenon_H3b4 zenon_H297 zenon_H298 zenon_H4de zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_Hef.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.04/43.19 apply (zenon_L77_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.04/43.19 apply (zenon_L104_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.04/43.19 apply (zenon_L501_); trivial.
% 43.04/43.19 apply (zenon_L62_); trivial.
% 43.04/43.19 (* end of lemma zenon_L503_ *)
% 43.04/43.19 assert (zenon_L504_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_Hd9 zenon_Hc9 zenon_Hc8 zenon_H4c zenon_H41 zenon_H5a zenon_H5e zenon_H6a zenon_Hd5 zenon_Hc0 zenon_H2f zenon_H30 zenon_H2d.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hf7 ].
% 43.04/43.19 apply (zenon_L31_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf8 ].
% 43.04/43.19 apply (zenon_L32_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbf ].
% 43.04/43.19 apply (zenon_L25_); trivial.
% 43.04/43.19 apply (zenon_L43_); trivial.
% 43.04/43.19 (* end of lemma zenon_L504_ *)
% 43.04/43.19 assert (zenon_L505_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H100 zenon_H86 zenon_Haa zenon_Ha4 zenon_Hf6 zenon_Hdd zenon_H43 zenon_H119 zenon_H11a zenon_Hf3 zenon_Hfa zenon_Hef zenon_H105 zenon_H130 zenon_H11f zenon_H2f zenon_H30 zenon_H125 zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_H12c.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 43.04/43.19 apply (zenon_L63_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 43.04/43.19 apply (zenon_L52_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 43.04/43.19 apply (zenon_L141_); trivial.
% 43.04/43.19 apply (zenon_L81_); trivial.
% 43.04/43.19 (* end of lemma zenon_L505_ *)
% 43.04/43.19 assert (zenon_L506_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H3ae zenon_H30a zenon_H418 zenon_H3af zenon_H273 zenon_H37f zenon_H374 zenon_H36e zenon_H36a zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H3fb zenon_H3b1 zenon_H331 zenon_H378 zenon_H301 zenon_H3e0 zenon_H287 zenon_H372 zenon_H570 zenon_H93 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H56b zenon_H340 zenon_H342 zenon_H297 zenon_H39a zenon_H305 zenon_H337 zenon_H290 zenon_H285 zenon_H3a0 zenon_H3a5 zenon_H2c5 zenon_H2fd zenon_H271 zenon_H274 zenon_H2f7 zenon_H29e zenon_H383 zenon_H2ae zenon_H2de zenon_H391 zenon_H395 zenon_H2a2 zenon_H39b.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.04/43.19 apply (zenon_L262_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_H26e | zenon_intro zenon_H26f ].
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.04/43.19 apply (zenon_L476_); trivial.
% 43.04/43.19 apply (zenon_L480_); trivial.
% 43.04/43.19 apply (zenon_L289_); trivial.
% 43.04/43.19 apply (zenon_L291_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.04/43.19 apply (zenon_L292_); trivial.
% 43.04/43.19 apply (zenon_L301_); trivial.
% 43.04/43.19 (* end of lemma zenon_L506_ *)
% 43.04/43.19 assert (zenon_L507_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e22) (e22)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (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) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H3e9 zenon_H30a zenon_H100 zenon_H11f zenon_H2f zenon_H125 zenon_H131 zenon_H12c zenon_H82 zenon_H4c zenon_H83 zenon_Hba zenon_H130 zenon_H105 zenon_Hfa zenon_H119 zenon_H41 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Hef zenon_H86 zenon_Haa zenon_H2d zenon_H30 zenon_Ha4 zenon_Hf3 zenon_H5e zenon_H418 zenon_H2d2 zenon_H2d6 zenon_H2da zenon_H331 zenon_H2f7 zenon_H2c5 zenon_H305 zenon_H570 zenon_H4b9 zenon_H4c9 zenon_H56b zenon_H340 zenon_H342 zenon_H297 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H395 zenon_H2de zenon_H2fd zenon_H2a2 zenon_H391 zenon_H39b zenon_H147 zenon_H36a zenon_H274 zenon_H36e zenon_H378 zenon_H374 zenon_H287 zenon_H372 zenon_H37f zenon_H273 zenon_H3af zenon_H39a zenon_H301 zenon_H383 zenon_H290 zenon_H271 zenon_H285 zenon_H3a0 zenon_H3a5.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.04/43.19 apply (zenon_L314_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.04/43.19 apply (zenon_L484_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.04/43.19 apply (zenon_L505_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.04/43.19 apply (zenon_L184_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.04/43.19 apply (zenon_L141_); trivial.
% 43.04/43.19 apply (zenon_L486_); trivial.
% 43.04/43.19 apply (zenon_L319_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.04/43.19 apply (zenon_L320_); trivial.
% 43.04/43.19 apply (zenon_L321_); trivial.
% 43.04/43.19 (* end of lemma zenon_L507_ *)
% 43.04/43.19 assert (zenon_L508_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H439 zenon_H147 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H125 zenon_H30 zenon_H2f zenon_H11f zenon_H130 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_H100 zenon_H5e zenon_Hef zenon_H105 zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.04/43.19 apply (zenon_L505_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.04/43.19 apply (zenon_L184_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.04/43.19 apply (zenon_L141_); trivial.
% 43.04/43.19 apply (zenon_L472_); trivial.
% 43.04/43.19 (* end of lemma zenon_L508_ *)
% 43.04/43.19 assert (zenon_L509_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H147 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H125 zenon_H30 zenon_H2f zenon_H11f zenon_H130 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_H100 zenon_H5e zenon_Hef zenon_H105 zenon_H30b zenon_H375 zenon_H2a7 zenon_H3e0 zenon_H2de zenon_H285 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H458.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.04/43.19 apply (zenon_L505_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.04/43.19 apply (zenon_L184_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.04/43.19 apply (zenon_L141_); trivial.
% 43.04/43.19 apply (zenon_L494_); trivial.
% 43.04/43.19 (* end of lemma zenon_L509_ *)
% 43.04/43.19 assert (zenon_L510_ : ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op2 (e22) (e22)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e10) (e10)) = (e12)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H30a zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H30b zenon_H105 zenon_Hef zenon_H5e zenon_H100 zenon_H86 zenon_Haa zenon_Ha4 zenon_Hf6 zenon_Hdd zenon_H43 zenon_H119 zenon_Hf3 zenon_Hfa zenon_H130 zenon_H11f zenon_H2f zenon_H30 zenon_H125 zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H82 zenon_H12c zenon_H147 zenon_H290 zenon_H285 zenon_H395 zenon_H2a2 zenon_H2de zenon_H391 zenon_H460 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H374 zenon_H330 zenon_H39b zenon_H458 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0 zenon_H375.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.04/43.19 apply (zenon_L509_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.04/43.19 apply (zenon_L390_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.04/43.19 apply (zenon_L391_); trivial.
% 43.04/43.19 apply (zenon_L393_); trivial.
% 43.04/43.19 (* end of lemma zenon_L510_ *)
% 43.04/43.19 assert (zenon_L511_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op2 (e22) (e22)) = (e20)) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H462 zenon_H30a zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H30b zenon_H105 zenon_Hef zenon_H5e zenon_H100 zenon_H86 zenon_Haa zenon_Ha4 zenon_Hf6 zenon_Hdd zenon_H43 zenon_H119 zenon_Hf3 zenon_Hfa zenon_H130 zenon_H11f zenon_H2f zenon_H30 zenon_H125 zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H82 zenon_H12c zenon_H147 zenon_H290 zenon_H285 zenon_H395 zenon_H2a2 zenon_H2de zenon_H391 zenon_H460 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H374 zenon_H39b zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f.
% 43.04/43.19 apply (zenon_L510_); trivial.
% 43.04/43.19 (* end of lemma zenon_L511_ *)
% 43.04/43.19 assert (zenon_L512_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H147 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H125 zenon_H30 zenon_H2f zenon_H11f zenon_H130 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_H100 zenon_H5e zenon_Hef zenon_H105 zenon_H4de zenon_H298 zenon_H297 zenon_H3b4 zenon_H458 zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H285 zenon_H2de zenon_H2da zenon_H274 zenon_H2c5 zenon_H2cb zenon_H2d2 zenon_H271 zenon_H2d6 zenon_H30b zenon_H39a zenon_H375.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.04/43.19 apply (zenon_L505_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.04/43.19 apply (zenon_L184_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.04/43.19 apply (zenon_L141_); trivial.
% 43.04/43.19 apply (zenon_L501_); trivial.
% 43.04/43.19 (* end of lemma zenon_L512_ *)
% 43.04/43.19 assert (zenon_L513_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (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) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((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) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((e12) = (e13))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H524 zenon_H337 zenon_H3b1 zenon_H3da zenon_H3af zenon_H37f zenon_H36e zenon_H36a zenon_H342 zenon_H340 zenon_H570 zenon_H331 zenon_H3fb zenon_H2b2 zenon_H27b zenon_H273 zenon_H294 zenon_H2f4 zenon_H3a5 zenon_H383 zenon_H301 zenon_H372 zenon_H418 zenon_H39b zenon_H3e0 zenon_H2ae zenon_H29e zenon_H460 zenon_H391 zenon_H2a2 zenon_H395 zenon_H290 zenon_H3a0 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H378 zenon_H474 zenon_H45b zenon_H46e zenon_H477 zenon_H287 zenon_H285 zenon_H374 zenon_H147 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H125 zenon_H30 zenon_H2f zenon_H11f zenon_H130 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_H100 zenon_H5e zenon_Hef zenon_H105 zenon_H4de zenon_H297 zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H2de zenon_H2da zenon_H2cb zenon_H2d2 zenon_H2d6 zenon_H30b zenon_H39a zenon_H30a.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.04/43.19 apply (zenon_L217_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.04/43.19 apply (zenon_L218_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.04/43.19 apply (zenon_L219_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.04/43.19 apply (zenon_L220_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.04/43.19 apply (zenon_L221_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.04/43.19 apply (zenon_L222_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.04/43.19 apply (zenon_L254_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.04/43.19 apply (zenon_L257_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.04/43.19 apply (zenon_L258_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.04/43.19 apply (zenon_L505_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.04/43.19 apply (zenon_L184_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.04/43.19 apply (zenon_L141_); trivial.
% 43.04/43.19 apply (zenon_L506_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.04/43.19 apply (zenon_L303_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.04/43.19 apply (zenon_L304_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.04/43.19 apply (zenon_L305_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.04/43.19 apply (zenon_L306_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.04/43.19 apply (zenon_L307_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.04/43.19 apply (zenon_L308_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.04/43.19 apply (zenon_L309_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.04/43.19 apply (zenon_L310_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.04/43.19 apply (zenon_L313_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.04/43.19 apply (zenon_L507_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.04/43.19 apply (zenon_L323_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.04/43.19 apply (zenon_L324_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.04/43.19 apply (zenon_L325_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.04/43.19 apply (zenon_L326_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.04/43.19 apply (zenon_L327_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.04/43.19 apply (zenon_L328_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.04/43.19 apply (zenon_L329_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.04/43.19 apply (zenon_L330_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.04/43.19 apply (zenon_L337_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.04/43.19 apply (zenon_L338_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.04/43.19 apply (zenon_L339_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.04/43.19 apply (zenon_L340_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.04/43.19 apply (zenon_L341_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.04/43.19 apply (zenon_L342_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.04/43.19 apply (zenon_L343_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.04/43.19 apply (zenon_L357_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.04/43.19 apply (zenon_L359_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.04/43.19 apply (zenon_L360_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.04/43.19 apply (zenon_L361_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.04/43.19 apply (zenon_L362_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.04/43.19 apply (zenon_L363_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.04/43.19 apply (zenon_L364_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.04/43.19 apply (zenon_L365_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.04/43.19 apply (zenon_L366_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.04/43.19 apply (zenon_L508_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.04/43.19 apply (zenon_L373_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.04/43.19 apply (zenon_L374_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.04/43.19 apply (zenon_L375_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.04/43.19 apply (zenon_L376_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.04/43.19 apply (zenon_L378_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.04/43.19 apply (zenon_L379_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.04/43.19 apply (zenon_L380_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.04/43.19 apply (zenon_L381_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.04/43.19 apply (zenon_L382_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.04/43.19 apply (zenon_L383_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.04/43.19 apply (zenon_L384_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.04/43.19 apply (zenon_L511_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.04/43.19 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.04/43.19 apply (zenon_L512_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.04/43.19 apply (zenon_L400_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.04/43.19 apply (zenon_L391_); trivial.
% 43.04/43.19 apply (zenon_L393_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.04/43.19 apply (zenon_L401_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.04/43.19 apply (zenon_L402_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.04/43.19 apply (zenon_L403_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.04/43.19 apply (zenon_L404_); trivial.
% 43.04/43.19 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.04/43.19 apply (zenon_L405_); trivial.
% 43.04/43.19 apply (zenon_L406_); trivial.
% 43.04/43.19 (* end of lemma zenon_L513_ *)
% 43.04/43.19 assert (zenon_L514_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 43.04/43.19 do 0 intro. intros zenon_H188 zenon_H8e zenon_H86.
% 43.04/43.19 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H189 | zenon_intro zenon_H18a ].
% 43.04/43.19 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 43.04/43.19 intro zenon_D_pnotp.
% 43.04/43.19 apply zenon_H86.
% 43.04/43.19 rewrite <- zenon_D_pnotp.
% 43.04/43.19 exact zenon_H189.
% 43.04/43.19 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 43.04/43.19 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H578].
% 43.04/43.19 congruence.
% 43.04/43.19 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))).
% 43.04/43.19 intro zenon_D_pnotp.
% 43.04/43.19 apply zenon_H578.
% 43.04/43.19 rewrite <- zenon_D_pnotp.
% 43.04/43.19 exact zenon_H188.
% 43.04/43.19 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H8f].
% 43.04/43.19 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 43.04/43.19 congruence.
% 43.04/43.19 apply zenon_H18a. apply refl_equal.
% 43.04/43.19 apply zenon_H8f. apply sym_equal. exact zenon_H8e.
% 43.04/43.20 apply zenon_H18a. apply refl_equal.
% 43.04/43.20 apply zenon_H18a. apply refl_equal.
% 43.04/43.20 (* end of lemma zenon_L514_ *)
% 43.04/43.20 assert (zenon_L515_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 43.04/43.20 do 0 intro. intros zenon_H462 zenon_H30a zenon_H56b zenon_H93 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H30b zenon_H290 zenon_H285 zenon_H395 zenon_H2a2 zenon_H2de zenon_H391 zenon_H460 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H374 zenon_H39b zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f.
% 43.04/43.20 apply (zenon_L498_); trivial.
% 43.04/43.20 (* end of lemma zenon_L515_ *)
% 43.04/43.20 assert (zenon_L516_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((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) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((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) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((e12) = (e13))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 43.04/43.20 do 0 intro. intros zenon_H524 zenon_H3b1 zenon_H337 zenon_H3da zenon_H3af zenon_H37f zenon_H36e zenon_H36a zenon_H342 zenon_H340 zenon_H570 zenon_H331 zenon_H3fb zenon_H2b2 zenon_H27b zenon_H273 zenon_H294 zenon_H2f4 zenon_H3a5 zenon_H383 zenon_H301 zenon_H372 zenon_H418 zenon_H290 zenon_H395 zenon_H2a2 zenon_H391 zenon_H460 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H39b zenon_H3a0 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H378 zenon_H474 zenon_H45b zenon_H46e zenon_H477 zenon_H287 zenon_H285 zenon_H374 zenon_Ha1 zenon_H30 zenon_H86 zenon_H188 zenon_H39a zenon_H30b zenon_H2d6 zenon_H2d2 zenon_H2cb zenon_H2da zenon_H2de zenon_H4c9 zenon_H4b9 zenon_H56b zenon_H297 zenon_H4de zenon_H2d zenon_H41 zenon_H9d zenon_H30a.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.04/43.20 apply (zenon_L217_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.04/43.20 apply (zenon_L218_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.04/43.20 apply (zenon_L219_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.04/43.20 apply (zenon_L220_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.04/43.20 apply (zenon_L221_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.04/43.20 apply (zenon_L222_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.04/43.20 apply (zenon_L254_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.04/43.20 apply (zenon_L257_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.04/43.20 apply (zenon_L258_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H87 | zenon_intro zenon_Ha2 ].
% 43.04/43.20 apply (zenon_L25_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8e | zenon_intro zenon_Ha3 ].
% 43.04/43.20 apply (zenon_L514_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H93 | zenon_intro zenon_H9c ].
% 43.04/43.20 apply (zenon_L506_); trivial.
% 43.04/43.20 apply (zenon_L29_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.04/43.20 apply (zenon_L303_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.04/43.20 apply (zenon_L304_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.04/43.20 apply (zenon_L305_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.04/43.20 apply (zenon_L306_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.04/43.20 apply (zenon_L307_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.04/43.20 apply (zenon_L308_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.04/43.20 apply (zenon_L309_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.04/43.20 apply (zenon_L310_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.04/43.20 apply (zenon_L313_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.04/43.20 apply (zenon_L314_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.04/43.20 apply (zenon_L484_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H87 | zenon_intro zenon_Ha2 ].
% 43.04/43.20 apply (zenon_L25_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8e | zenon_intro zenon_Ha3 ].
% 43.04/43.20 apply (zenon_L514_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H93 | zenon_intro zenon_H9c ].
% 43.04/43.20 apply (zenon_L486_); trivial.
% 43.04/43.20 apply (zenon_L29_); trivial.
% 43.04/43.20 apply (zenon_L319_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.04/43.20 apply (zenon_L320_); trivial.
% 43.04/43.20 apply (zenon_L321_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.04/43.20 apply (zenon_L323_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.04/43.20 apply (zenon_L324_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.04/43.20 apply (zenon_L325_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.04/43.20 apply (zenon_L326_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.04/43.20 apply (zenon_L327_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.04/43.20 apply (zenon_L328_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.04/43.20 apply (zenon_L329_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.04/43.20 apply (zenon_L330_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.04/43.20 apply (zenon_L337_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.04/43.20 apply (zenon_L338_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.04/43.20 apply (zenon_L339_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.04/43.20 apply (zenon_L340_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.04/43.20 apply (zenon_L341_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.04/43.20 apply (zenon_L342_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.04/43.20 apply (zenon_L343_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.04/43.20 apply (zenon_L357_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.04/43.20 apply (zenon_L359_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.04/43.20 apply (zenon_L360_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.04/43.20 apply (zenon_L361_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.04/43.20 apply (zenon_L362_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.04/43.20 apply (zenon_L363_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.04/43.20 apply (zenon_L364_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.04/43.20 apply (zenon_L365_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.04/43.20 apply (zenon_L366_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H87 | zenon_intro zenon_Ha2 ].
% 43.04/43.20 apply (zenon_L25_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8e | zenon_intro zenon_Ha3 ].
% 43.04/43.20 apply (zenon_L514_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H93 | zenon_intro zenon_H9c ].
% 43.04/43.20 apply (zenon_L472_); trivial.
% 43.04/43.20 apply (zenon_L29_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.04/43.20 apply (zenon_L373_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.04/43.20 apply (zenon_L374_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.04/43.20 apply (zenon_L375_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.04/43.20 apply (zenon_L376_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.04/43.20 apply (zenon_L378_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.04/43.20 apply (zenon_L379_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.04/43.20 apply (zenon_L380_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.04/43.20 apply (zenon_L381_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.04/43.20 apply (zenon_L382_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.04/43.20 apply (zenon_L383_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.04/43.20 apply (zenon_L384_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H87 | zenon_intro zenon_Ha2 ].
% 43.04/43.20 apply (zenon_L25_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8e | zenon_intro zenon_Ha3 ].
% 43.04/43.20 apply (zenon_L514_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H93 | zenon_intro zenon_H9c ].
% 43.04/43.20 apply (zenon_L515_); trivial.
% 43.04/43.20 apply (zenon_L29_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H87 | zenon_intro zenon_Ha2 ].
% 43.04/43.20 apply (zenon_L25_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H8e | zenon_intro zenon_Ha3 ].
% 43.04/43.20 apply (zenon_L514_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H93 | zenon_intro zenon_H9c ].
% 43.04/43.20 apply (zenon_L501_); trivial.
% 43.04/43.20 apply (zenon_L29_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.04/43.20 apply (zenon_L400_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.04/43.20 apply (zenon_L391_); trivial.
% 43.04/43.20 apply (zenon_L393_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.04/43.20 apply (zenon_L401_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.04/43.20 apply (zenon_L402_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.04/43.20 apply (zenon_L403_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.04/43.20 apply (zenon_L404_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.04/43.20 apply (zenon_L405_); trivial.
% 43.04/43.20 apply (zenon_L406_); trivial.
% 43.04/43.20 (* end of lemma zenon_L516_ *)
% 43.04/43.20 assert (zenon_L517_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e20)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False).
% 43.04/43.20 do 0 intro. intros zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_H30 zenon_H105 zenon_Hc0 zenon_H2d zenon_H1e2.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hf7 ].
% 43.04/43.20 apply (zenon_L31_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hab | zenon_intro zenon_Hf8 ].
% 43.04/43.20 apply (zenon_L32_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H87 | zenon_intro zenon_Hbf ].
% 43.04/43.20 apply (zenon_L25_); trivial.
% 43.04/43.20 apply (zenon_L131_); trivial.
% 43.04/43.20 (* end of lemma zenon_L517_ *)
% 43.04/43.20 assert (zenon_L518_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.04/43.20 do 0 intro. intros zenon_H217 zenon_H41 zenon_Hd5 zenon_H119 zenon_Hb0 zenon_H19a zenon_H19b zenon_Hd9 zenon_Hc9 zenon_H4c zenon_H5a zenon_H5e zenon_H6a zenon_H2f zenon_H19e zenon_H11f zenon_H130 zenon_Hb8 zenon_H7c zenon_H1ec zenon_H1e2 zenon_Hc0 zenon_H86 zenon_Haa zenon_Ha4 zenon_Hf6 zenon_H125 zenon_H30 zenon_H2d.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.04/43.20 apply (zenon_L150_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.04/43.20 apply (zenon_L144_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.04/43.20 apply (zenon_L517_); trivial.
% 43.04/43.20 apply (zenon_L65_); trivial.
% 43.04/43.20 (* end of lemma zenon_L518_ *)
% 43.04/43.20 assert (zenon_L519_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e22) (e23)) = (e22)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e11) = (e13))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 43.04/43.20 do 0 intro. intros zenon_H3e9 zenon_H30a zenon_H39b zenon_H391 zenon_H2a2 zenon_H2fd zenon_H2de zenon_H395 zenon_H3e0 zenon_H2ae zenon_H29e zenon_H297 zenon_H342 zenon_H340 zenon_H56b zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H93 zenon_H570 zenon_H305 zenon_H2c5 zenon_H2f7 zenon_H331 zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H418 zenon_H36a zenon_H274 zenon_H36e zenon_H378 zenon_H374 zenon_H287 zenon_H372 zenon_H37f zenon_H273 zenon_H3af zenon_H39a zenon_H301 zenon_H383 zenon_H290 zenon_H271 zenon_H285 zenon_H3a0 zenon_H3a5.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.04/43.20 apply (zenon_L314_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.04/43.20 apply (zenon_L484_); trivial.
% 43.04/43.20 apply (zenon_L486_); trivial.
% 43.04/43.20 apply (zenon_L319_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.04/43.20 apply (zenon_L320_); trivial.
% 43.04/43.20 apply (zenon_L321_); trivial.
% 43.04/43.20 (* end of lemma zenon_L519_ *)
% 43.04/43.20 assert (zenon_L520_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op2 (e22) (e23)) = (e22)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.04/43.20 do 0 intro. intros zenon_H439 zenon_H56b zenon_H93 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d.
% 43.04/43.20 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.04/43.20 apply (zenon_L472_); trivial.
% 43.04/43.20 (* end of lemma zenon_L520_ *)
% 43.04/43.20 assert (zenon_L521_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((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) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e22) (e23)) = (e22)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 43.04/43.20 do 0 intro. intros zenon_H524 zenon_H2cb zenon_H337 zenon_H3b1 zenon_H3da zenon_H3af zenon_H37f zenon_H36e zenon_H36a zenon_H331 zenon_H570 zenon_H340 zenon_H342 zenon_H3fb zenon_H2b2 zenon_H39a zenon_H27b zenon_H273 zenon_H294 zenon_H2f4 zenon_H3a5 zenon_H383 zenon_H301 zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H297 zenon_H372 zenon_H418 zenon_H39b zenon_H2ae zenon_H29e zenon_H460 zenon_H391 zenon_H2a2 zenon_H395 zenon_H290 zenon_H3a0 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H378 zenon_H474 zenon_H45b zenon_H46e zenon_H477 zenon_H287 zenon_H285 zenon_H374 zenon_H30b zenon_H3e0 zenon_H2de zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H93 zenon_H56b zenon_H30a.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.04/43.20 apply (zenon_L217_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.04/43.20 apply (zenon_L218_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.04/43.20 apply (zenon_L219_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.04/43.20 apply (zenon_L220_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.04/43.20 apply (zenon_L221_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.04/43.20 apply (zenon_L222_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.04/43.20 apply (zenon_L254_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.04/43.20 apply (zenon_L257_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.04/43.20 apply (zenon_L258_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.04/43.20 apply (zenon_L506_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.04/43.20 apply (zenon_L303_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.04/43.20 apply (zenon_L304_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.04/43.20 apply (zenon_L305_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.04/43.20 apply (zenon_L306_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.04/43.20 apply (zenon_L307_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.04/43.20 apply (zenon_L308_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.04/43.20 apply (zenon_L309_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.04/43.20 apply (zenon_L310_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.04/43.20 apply (zenon_L313_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.04/43.20 apply (zenon_L519_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.04/43.20 apply (zenon_L323_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.04/43.20 apply (zenon_L324_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.04/43.20 apply (zenon_L325_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.04/43.20 apply (zenon_L326_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.04/43.20 apply (zenon_L327_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.04/43.20 apply (zenon_L328_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.04/43.20 apply (zenon_L329_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.04/43.20 apply (zenon_L330_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.04/43.20 apply (zenon_L337_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.04/43.20 apply (zenon_L338_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.04/43.20 apply (zenon_L339_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.04/43.20 apply (zenon_L340_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.04/43.20 apply (zenon_L341_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.04/43.20 apply (zenon_L342_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.04/43.20 apply (zenon_L343_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.04/43.20 apply (zenon_L357_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.04/43.20 apply (zenon_L359_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.04/43.20 apply (zenon_L360_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.04/43.20 apply (zenon_L361_); trivial.
% 43.04/43.20 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.05/43.21 apply (zenon_L362_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.05/43.21 apply (zenon_L363_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.05/43.21 apply (zenon_L364_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.05/43.21 apply (zenon_L365_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.05/43.21 apply (zenon_L366_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.05/43.21 apply (zenon_L520_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.05/43.21 apply (zenon_L373_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.05/43.21 apply (zenon_L374_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.05/43.21 apply (zenon_L375_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.05/43.21 apply (zenon_L376_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.05/43.21 apply (zenon_L378_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.05/43.21 apply (zenon_L379_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.05/43.21 apply (zenon_L380_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.05/43.21 apply (zenon_L381_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.05/43.21 apply (zenon_L382_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.05/43.21 apply (zenon_L383_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.05/43.21 apply (zenon_L384_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.05/43.21 apply (zenon_L515_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.05/43.21 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.05/43.21 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.05/43.21 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.05/43.21 apply (zenon_L497_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.05/43.21 apply (zenon_L400_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.05/43.21 apply (zenon_L391_); trivial.
% 43.05/43.21 apply (zenon_L393_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.05/43.21 apply (zenon_L401_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.05/43.21 apply (zenon_L402_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.05/43.21 apply (zenon_L403_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.05/43.21 apply (zenon_L404_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.05/43.21 apply (zenon_L405_); trivial.
% 43.05/43.21 apply (zenon_L406_); trivial.
% 43.05/43.21 (* end of lemma zenon_L521_ *)
% 43.05/43.21 assert (zenon_L522_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((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) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 43.05/43.21 do 0 intro. intros zenon_H147 zenon_H86 zenon_H30 zenon_Haa zenon_Ha4 zenon_Hf6 zenon_Hb0 zenon_Hdd zenon_H43 zenon_H119 zenon_Hf3 zenon_H5e zenon_Hef zenon_H105 zenon_H524 zenon_H2cb zenon_H337 zenon_H3b1 zenon_H3da zenon_H3af zenon_H37f zenon_H36e zenon_H36a zenon_H331 zenon_H570 zenon_H340 zenon_H342 zenon_H3fb zenon_H2b2 zenon_H39a zenon_H27b zenon_H273 zenon_H294 zenon_H2f4 zenon_H3a5 zenon_H383 zenon_H301 zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H297 zenon_H372 zenon_H418 zenon_H39b zenon_H2ae zenon_H29e zenon_H460 zenon_H391 zenon_H2a2 zenon_H395 zenon_H290 zenon_H3a0 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H378 zenon_H474 zenon_H45b zenon_H46e zenon_H477 zenon_H287 zenon_H285 zenon_H374 zenon_H30b zenon_H3e0 zenon_H2de zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H30a.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.05/43.21 apply (zenon_L63_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.05/43.21 apply (zenon_L184_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.05/43.21 apply (zenon_L141_); trivial.
% 43.05/43.21 apply (zenon_L521_); trivial.
% 43.05/43.21 (* end of lemma zenon_L522_ *)
% 43.05/43.21 assert (zenon_L523_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 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(e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.05/43.21 do 0 intro. intros zenon_H16d zenon_H131 zenon_H1e8 zenon_H82 zenon_Hbf zenon_H12c zenon_Hba zenon_H113 zenon_H10a zenon_H125 zenon_H1e2 zenon_H1ec zenon_H7c zenon_H130 zenon_H11f zenon_H19e zenon_H2f zenon_H6a zenon_H4c zenon_Hc9 zenon_Hd9 zenon_H19b zenon_H19a zenon_Hd5 zenon_H217 zenon_H22 zenon_H5a zenon_H30a zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2de zenon_H3e0 zenon_H30b zenon_H374 zenon_H285 zenon_H287 zenon_H477 zenon_H46e zenon_H45b zenon_H474 zenon_H378 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0 zenon_H290 zenon_H395 zenon_H2a2 zenon_H391 zenon_H460 zenon_H29e zenon_H2ae zenon_H39b zenon_H418 zenon_H372 zenon_H297 zenon_H2d2 zenon_H2d6 zenon_H2da zenon_H301 zenon_H383 zenon_H3a5 zenon_H2f4 zenon_H294 zenon_H273 zenon_H27b zenon_H39a zenon_H2b2 zenon_H3fb zenon_H342 zenon_H340 zenon_H570 zenon_H331 zenon_H36a zenon_H36e zenon_H37f zenon_H3af zenon_H3da zenon_H3b1 zenon_H337 zenon_H2cb zenon_H524 zenon_Hef zenon_H5e zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hb0 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H147 zenon_H86 zenon_H30 zenon_H2d.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.05/43.21 apply (zenon_L140_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.05/43.21 apply (zenon_L60_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.05/43.21 apply (zenon_L63_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 43.05/43.21 apply (zenon_L518_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 43.05/43.21 apply (zenon_L55_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 43.05/43.21 apply (zenon_L522_); trivial.
% 43.05/43.21 apply (zenon_L25_); trivial.
% 43.05/43.21 (* end of lemma zenon_L523_ *)
% 43.05/43.21 assert (zenon_L524_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (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) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((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) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((e12) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e20)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e22) = (e23))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.05/43.21 do 0 intro. intros zenon_H16f zenon_H1e9 zenon_H53 zenon_H147 zenon_Ha4 zenon_Hf6 zenon_Hdd zenon_H119 zenon_H524 zenon_H2cb zenon_H337 zenon_H3b1 zenon_H3da zenon_H3af zenon_H37f zenon_H36e zenon_H36a zenon_H331 zenon_H570 zenon_H340 zenon_H342 zenon_H3fb zenon_H2b2 zenon_H39a zenon_H27b zenon_H273 zenon_H294 zenon_H2f4 zenon_H3a5 zenon_H383 zenon_H301 zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H297 zenon_H372 zenon_H418 zenon_H39b zenon_H2ae zenon_H29e zenon_H460 zenon_H391 zenon_H2a2 zenon_H395 zenon_H290 zenon_H3a0 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H378 zenon_H474 zenon_H45b zenon_H46e zenon_H477 zenon_H287 zenon_H285 zenon_H374 zenon_H30b zenon_H3e0 zenon_H2de zenon_H4c9 zenon_H4b9 zenon_H56b zenon_H30a zenon_H217 zenon_Hd5 zenon_H19b zenon_Hd9 zenon_Hc9 zenon_H2f zenon_H19e zenon_H11f zenon_H130 zenon_H1e2 zenon_H125 zenon_H113 zenon_Hba zenon_H16d zenon_H10a zenon_Haa zenon_Hf3 zenon_H7c zenon_H1ec zenon_H43 zenon_H6a zenon_H5e zenon_H19a zenon_H1f1 zenon_H22 zenon_H5a zenon_H12c zenon_Hbf zenon_H82 zenon_H41 zenon_H4c zenon_H1e8 zenon_H131 zenon_Hef zenon_Hfa zenon_He9 zenon_H100 zenon_H86 zenon_H30 zenon_H2d.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.05/43.21 apply (zenon_L143_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.05/43.21 apply (zenon_L59_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.05/43.21 apply (zenon_L523_); trivial.
% 43.05/43.21 apply (zenon_L153_); trivial.
% 43.05/43.21 (* end of lemma zenon_L524_ *)
% 43.05/43.21 assert (zenon_L525_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e23))) -> False).
% 43.05/43.21 do 0 intro. intros zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H41 zenon_H155 zenon_H63 zenon_Hdd zenon_Hf6 zenon_Ha9 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_H12c.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 43.05/43.21 apply (zenon_L66_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 43.05/43.21 apply (zenon_L14_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 43.05/43.21 apply (zenon_L436_); trivial.
% 43.05/43.21 apply (zenon_L120_); trivial.
% 43.05/43.21 (* end of lemma zenon_L525_ *)
% 43.05/43.21 assert (zenon_L526_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e22))) -> False).
% 43.05/43.21 do 0 intro. intros zenon_H575 zenon_H12c zenon_Ha9 zenon_Hdd zenon_H63 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H1ab zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H439 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_Hef.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.05/43.21 apply (zenon_L525_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.05/43.21 apply (zenon_L104_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.05/43.21 apply (zenon_L520_); trivial.
% 43.05/43.21 apply (zenon_L62_); trivial.
% 43.05/43.21 (* end of lemma zenon_L526_ *)
% 43.05/43.21 assert (zenon_L527_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10)))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 43.05/43.21 do 0 intro. intros zenon_H575 zenon_H12c zenon_H86 zenon_H30 zenon_Haa zenon_Ha9 zenon_Hf6 zenon_Hdd zenon_H63 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H1ab zenon_H3a0 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H39b zenon_H374 zenon_H3e0 zenon_H2ae zenon_H29e zenon_H460 zenon_H391 zenon_H2de zenon_H2a2 zenon_H395 zenon_H285 zenon_H290 zenon_H30b zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H30a zenon_H462 zenon_Hbf zenon_Hef.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.05/43.21 apply (zenon_L525_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.05/43.21 apply (zenon_L104_); trivial.
% 43.05/43.21 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.05/43.21 apply (zenon_L515_); trivial.
% 43.05/43.21 apply (zenon_L49_); trivial.
% 43.05/43.21 (* end of lemma zenon_L527_ *)
% 43.05/43.21 assert (zenon_L528_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (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 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False).
% 43.06/43.21 do 0 intro. intros zenon_H55f zenon_H30a zenon_Hef zenon_H86 zenon_H30 zenon_H2d zenon_Haa zenon_Ha4 zenon_Hf6 zenon_H4de zenon_H297 zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2de zenon_H2da zenon_H2cb zenon_H2d2 zenon_H2d6 zenon_H30b zenon_H39a zenon_H1ab zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H63 zenon_Hdd zenon_Ha9 zenon_H12c zenon_H575 zenon_H374 zenon_H285 zenon_H287 zenon_H477 zenon_H46e zenon_H45b zenon_H474 zenon_H378 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H3a0.
% 43.06/43.21 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.21 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.21 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.21 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.21 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.21 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.06/43.21 apply (zenon_L525_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.06/43.21 apply (zenon_L104_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.06/43.21 apply (zenon_L501_); trivial.
% 43.06/43.21 apply (zenon_L62_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.21 apply (zenon_L400_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.21 apply (zenon_L391_); trivial.
% 43.06/43.21 apply (zenon_L393_); trivial.
% 43.06/43.21 (* end of lemma zenon_L528_ *)
% 43.06/43.21 assert (zenon_L529_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((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) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((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)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (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 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((e12) = (e13))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> False).
% 43.06/43.21 do 0 intro. intros zenon_H524 zenon_H3b1 zenon_H337 zenon_H3da zenon_H342 zenon_H340 zenon_H570 zenon_H331 zenon_H36a zenon_H36e zenon_H37f zenon_H3af zenon_H3fb zenon_H2b2 zenon_H27b zenon_H273 zenon_H294 zenon_H2f4 zenon_H3a5 zenon_H383 zenon_H301 zenon_H372 zenon_H418 zenon_Hbf zenon_H290 zenon_H395 zenon_H2a2 zenon_H391 zenon_H460 zenon_H29e zenon_H2ae zenon_H3e0 zenon_H39b zenon_H3a0 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H378 zenon_H474 zenon_H45b zenon_H46e zenon_H477 zenon_H287 zenon_H285 zenon_H374 zenon_H575 zenon_H12c zenon_Ha9 zenon_Hdd zenon_H63 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_H1ab zenon_H39a zenon_H30b zenon_H2d6 zenon_H2d2 zenon_H2cb zenon_H2da zenon_H2de zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H297 zenon_H4de zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H2d zenon_H30 zenon_H86 zenon_Hef zenon_H30a.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.21 apply (zenon_L217_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.21 apply (zenon_L218_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.21 apply (zenon_L219_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.21 apply (zenon_L220_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.21 apply (zenon_L221_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.21 apply (zenon_L222_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.21 apply (zenon_L254_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.21 apply (zenon_L257_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.21 apply (zenon_L258_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.06/43.21 apply (zenon_L525_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.06/43.21 apply (zenon_L104_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.06/43.21 apply (zenon_L506_); trivial.
% 43.06/43.21 apply (zenon_L62_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.21 apply (zenon_L303_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.21 apply (zenon_L304_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.21 apply (zenon_L305_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.21 apply (zenon_L306_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.21 apply (zenon_L307_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.21 apply (zenon_L308_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.21 apply (zenon_L309_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.21 apply (zenon_L310_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.21 apply (zenon_L313_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.06/43.21 apply (zenon_L525_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.06/43.21 apply (zenon_L104_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.06/43.21 apply (zenon_L519_); trivial.
% 43.06/43.21 apply (zenon_L49_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.21 apply (zenon_L323_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.21 apply (zenon_L324_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.21 apply (zenon_L325_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.21 apply (zenon_L326_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.21 apply (zenon_L327_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.21 apply (zenon_L328_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.21 apply (zenon_L329_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.21 apply (zenon_L330_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.21 apply (zenon_L337_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.21 apply (zenon_L338_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.21 apply (zenon_L339_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.21 apply (zenon_L340_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.21 apply (zenon_L341_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.21 apply (zenon_L342_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.21 apply (zenon_L343_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.21 apply (zenon_L357_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.21 apply (zenon_L359_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.21 apply (zenon_L360_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.21 apply (zenon_L361_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.21 apply (zenon_L362_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.21 apply (zenon_L363_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.21 apply (zenon_L364_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.21 apply (zenon_L365_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.21 apply (zenon_L366_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.21 apply (zenon_L526_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.21 apply (zenon_L373_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.21 apply (zenon_L374_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.21 apply (zenon_L375_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.21 apply (zenon_L376_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.21 apply (zenon_L378_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.21 apply (zenon_L379_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.21 apply (zenon_L380_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.21 apply (zenon_L381_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.21 apply (zenon_L382_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.21 apply (zenon_L383_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.21 apply (zenon_L384_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.21 apply (zenon_L527_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.21 apply (zenon_L528_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.21 apply (zenon_L401_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.21 apply (zenon_L402_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.21 apply (zenon_L403_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.21 apply (zenon_L404_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.21 apply (zenon_L405_); trivial.
% 43.06/43.21 apply (zenon_L406_); trivial.
% 43.06/43.21 (* end of lemma zenon_L529_ *)
% 43.06/43.21 assert (zenon_L530_ : (((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10)))))))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e20) (op2 (e20) (e23))) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 43.06/43.21 do 0 intro. intros zenon_H2b1 zenon_H575 zenon_H137 zenon_H63 zenon_Hdd zenon_H1ab zenon_H458 zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H285 zenon_H2de zenon_H3e0 zenon_H375 zenon_H30b zenon_Hf2.
% 43.06/43.21 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.21 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.21 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.21 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.06/43.21 apply (zenon_L436_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.06/43.21 apply (zenon_L104_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.06/43.21 apply (zenon_L494_); trivial.
% 43.06/43.21 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.21 (* end of lemma zenon_L530_ *)
% 43.06/43.21 assert (zenon_L531_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (~((e22) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 43.06/43.21 do 0 intro. intros zenon_H100 zenon_H86 zenon_H30 zenon_H2d zenon_Haa zenon_Ha4 zenon_Hf6 zenon_Hdd zenon_H43 zenon_H119 zenon_H11a zenon_Hf3 zenon_Hfa zenon_H41 zenon_Hef zenon_H105 zenon_H82 zenon_H137.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 43.06/43.21 apply (zenon_L63_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 43.06/43.21 apply (zenon_L52_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 43.06/43.21 apply (zenon_L141_); trivial.
% 43.06/43.21 apply (zenon_L79_); trivial.
% 43.06/43.21 (* end of lemma zenon_L531_ *)
% 43.06/43.21 assert (zenon_L532_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((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 (e13) (e11)) = (op1 (e13) (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)))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (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) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (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 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 43.06/43.21 do 0 intro. intros zenon_H147 zenon_H137 zenon_H82 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H30 zenon_H86 zenon_H100 zenon_H146 zenon_Hef zenon_H105 zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H570 zenon_H3e0 zenon_H331 zenon_H32e zenon_H342 zenon_H39b zenon_H273 zenon_H3b1 zenon_H37f zenon_H36e zenon_H301 zenon_H374 zenon_H287 zenon_H372 zenon_H378 zenon_H36a zenon_H293 zenon_H337 zenon_H3a5 zenon_H2f7 zenon_H305 zenon_H26e zenon_H3b4 zenon_H2da zenon_H2c5 zenon_H3fb zenon_H2d2 zenon_H2d6 zenon_H269 zenon_H3af zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.21 apply (zenon_L531_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.21 exact (zenon_H146 zenon_H14a).
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.21 apply (zenon_L141_); trivial.
% 43.06/43.21 apply (zenon_L476_); trivial.
% 43.06/43.21 (* end of lemma zenon_L532_ *)
% 43.06/43.21 assert (zenon_L533_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 43.06/43.21 do 0 intro. intros zenon_H147 zenon_H137 zenon_H82 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H30 zenon_H86 zenon_H100 zenon_H146 zenon_Hef zenon_H105 zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H2a2 zenon_H372 zenon_H570 zenon_H378 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H32e zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.21 apply (zenon_L531_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.21 exact (zenon_H146 zenon_H14a).
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.21 apply (zenon_L141_); trivial.
% 43.06/43.21 apply (zenon_L480_); trivial.
% 43.06/43.21 (* end of lemma zenon_L533_ *)
% 43.06/43.21 assert (zenon_L534_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 43.06/43.21 do 0 intro. intros zenon_H147 zenon_H137 zenon_H82 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H30 zenon_H86 zenon_H100 zenon_H146 zenon_Hef zenon_H105 zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H2a2 zenon_H372 zenon_H570 zenon_H378 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H3a5 zenon_H3e4 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.21 apply (zenon_L531_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.21 exact (zenon_H146 zenon_H14a).
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.21 apply (zenon_L141_); trivial.
% 43.06/43.21 apply (zenon_L486_); trivial.
% 43.06/43.21 (* end of lemma zenon_L534_ *)
% 43.06/43.21 assert (zenon_L535_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.06/43.21 do 0 intro. intros zenon_H147 zenon_H137 zenon_H82 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H30 zenon_H86 zenon_H100 zenon_H146 zenon_Hef zenon_H105 zenon_H56b zenon_H2d0 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.21 apply (zenon_L531_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.21 exact (zenon_H146 zenon_H14a).
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.21 apply (zenon_L141_); trivial.
% 43.06/43.21 apply (zenon_L472_); trivial.
% 43.06/43.21 (* end of lemma zenon_L535_ *)
% 43.06/43.21 assert (zenon_L536_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 43.06/43.21 do 0 intro. intros zenon_H147 zenon_H137 zenon_H82 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H30 zenon_H86 zenon_H100 zenon_H146 zenon_Hef zenon_H105 zenon_H30b zenon_H375 zenon_H2a7 zenon_H3e0 zenon_H2de zenon_H285 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H458.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.21 apply (zenon_L531_); trivial.
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.21 exact (zenon_H146 zenon_H14a).
% 43.06/43.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.21 apply (zenon_L141_); trivial.
% 43.06/43.21 apply (zenon_L494_); trivial.
% 43.06/43.21 (* end of lemma zenon_L536_ *)
% 43.06/43.21 assert (zenon_L537_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H147 zenon_H137 zenon_H82 zenon_Hfa zenon_Hf3 zenon_H119 zenon_H43 zenon_Hdd zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H30 zenon_H86 zenon_H100 zenon_H146 zenon_Hef zenon_H105 zenon_H4de zenon_H298 zenon_H297 zenon_H3b4 zenon_H458 zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H285 zenon_H2de zenon_H2da zenon_H274 zenon_H2c5 zenon_H2cb zenon_H2d2 zenon_H271 zenon_H2d6 zenon_H30b zenon_H39a zenon_H375.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.22 apply (zenon_L531_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.22 exact (zenon_H146 zenon_H14a).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.22 apply (zenon_L141_); trivial.
% 43.06/43.22 apply (zenon_L501_); trivial.
% 43.06/43.22 (* end of lemma zenon_L537_ *)
% 43.06/43.22 assert (zenon_L538_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e20) (e22)) = (e20))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((e22) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e21))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H217 zenon_Hcc zenon_Hf2 zenon_H82 zenon_H137 zenon_H41 zenon_H43 zenon_H1ec zenon_H7c zenon_Hf3 zenon_H106 zenon_H8d zenon_H125 zenon_H30 zenon_H2d.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.22 exact (zenon_Hcc zenon_Hc8).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.22 apply (zenon_L210_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.22 apply (zenon_L56_); trivial.
% 43.06/43.22 apply (zenon_L65_); trivial.
% 43.06/43.22 (* end of lemma zenon_L538_ *)
% 43.06/43.22 assert (zenon_L539_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((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 (e13) (e11)) = (op1 (e13) (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)))) -> (~((e10) = (e12))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (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) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (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 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((op1 (e11) (e12)) = (e11))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H147 zenon_H11e zenon_H5e zenon_H159 zenon_H8d zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H570 zenon_H3e0 zenon_H331 zenon_H32e zenon_H342 zenon_H39b zenon_H273 zenon_H3b1 zenon_H37f zenon_H36e zenon_H301 zenon_H374 zenon_H287 zenon_H372 zenon_H378 zenon_H36a zenon_H293 zenon_H337 zenon_H3a5 zenon_H2f7 zenon_H305 zenon_H26e zenon_H3b4 zenon_H2da zenon_H2c5 zenon_H3fb zenon_H2d2 zenon_H2d6 zenon_H269 zenon_H3af zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.22 exact (zenon_H11e zenon_H11a).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.22 apply (zenon_L184_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.22 apply (zenon_L78_); trivial.
% 43.06/43.22 apply (zenon_L476_); trivial.
% 43.06/43.22 (* end of lemma zenon_L539_ *)
% 43.06/43.22 assert (zenon_L540_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H147 zenon_H11e zenon_H5e zenon_H159 zenon_H8d zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H2a2 zenon_H372 zenon_H570 zenon_H378 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H32e zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.22 exact (zenon_H11e zenon_H11a).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.22 apply (zenon_L184_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.22 apply (zenon_L78_); trivial.
% 43.06/43.22 apply (zenon_L480_); trivial.
% 43.06/43.22 (* end of lemma zenon_L540_ *)
% 43.06/43.22 assert (zenon_L541_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (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 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (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 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H4b5 zenon_H54 zenon_H53 zenon_H1a6 zenon_H2d6 zenon_H285 zenon_H271 zenon_H2d2 zenon_H323 zenon_H2c5 zenon_H274 zenon_H2da zenon_H342 zenon_H32e zenon_H331 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H378 zenon_H570 zenon_H372 zenon_H2a2 zenon_H340 zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H297 zenon_H418 zenon_H159 zenon_H5e zenon_H11e zenon_H147 zenon_H1ba zenon_H137.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 43.06/43.22 apply (zenon_L16_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 43.06/43.22 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 43.06/43.22 apply (zenon_L540_); trivial.
% 43.06/43.22 apply (zenon_L430_); trivial.
% 43.06/43.22 (* end of lemma zenon_L541_ *)
% 43.06/43.22 assert (zenon_L542_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (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 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H147 zenon_H11e zenon_H5e zenon_H159 zenon_H8d zenon_H418 zenon_H297 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H340 zenon_H2a2 zenon_H372 zenon_H570 zenon_H378 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H3a5 zenon_H3e4 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.22 exact (zenon_H11e zenon_H11a).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.22 apply (zenon_L184_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.22 apply (zenon_L78_); trivial.
% 43.06/43.22 apply (zenon_L486_); trivial.
% 43.06/43.22 (* end of lemma zenon_L542_ *)
% 43.06/43.22 assert (zenon_L543_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H147 zenon_H11e zenon_H5e zenon_H159 zenon_H8d zenon_H56b zenon_H2d0 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.22 exact (zenon_H11e zenon_H11a).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.22 apply (zenon_L184_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.22 apply (zenon_L78_); trivial.
% 43.06/43.22 apply (zenon_L472_); trivial.
% 43.06/43.22 (* end of lemma zenon_L543_ *)
% 43.06/43.22 assert (zenon_L544_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (op1 (e10) (e13))) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H147 zenon_H11e zenon_H5e zenon_H159 zenon_H8d zenon_H30b zenon_H375 zenon_H2a7 zenon_H3e0 zenon_H2de zenon_H285 zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H56b zenon_H458.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.22 exact (zenon_H11e zenon_H11a).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.22 apply (zenon_L184_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.22 apply (zenon_L78_); trivial.
% 43.06/43.22 apply (zenon_L494_); trivial.
% 43.06/43.22 (* end of lemma zenon_L544_ *)
% 43.06/43.22 assert (zenon_L545_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e10) (op1 (e10) (e12))) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e12)) = (e11))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H147 zenon_H11e zenon_H5e zenon_H159 zenon_H8d zenon_H4de zenon_H298 zenon_H297 zenon_H3b4 zenon_H458 zenon_H56b zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H285 zenon_H2de zenon_H2da zenon_H274 zenon_H2c5 zenon_H2cb zenon_H2d2 zenon_H271 zenon_H2d6 zenon_H30b zenon_H39a zenon_H375.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H11a | zenon_intro zenon_H148 ].
% 43.06/43.22 exact (zenon_H11e zenon_H11a).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ].
% 43.06/43.22 apply (zenon_L184_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H104 | zenon_intro zenon_H93 ].
% 43.06/43.22 apply (zenon_L78_); trivial.
% 43.06/43.22 apply (zenon_L501_); trivial.
% 43.06/43.22 (* end of lemma zenon_L545_ *)
% 43.06/43.22 assert (zenon_L546_ : ((h2 (e12)) = (op2 (e21) (e21))) -> ((op1 (e13) (e10)) = (e12)) -> ((e22) = (op2 (e21) (e21))) -> (~((e22) = (h2 (op1 (e13) (e10))))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H4b9 zenon_H338 zenon_H41 zenon_H579.
% 43.06/43.22 elim (classic ((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10))))); [ zenon_intro zenon_H57a | zenon_intro zenon_H57b ].
% 43.06/43.22 cut (((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10)))) = ((e22) = (h2 (op1 (e13) (e10))))).
% 43.06/43.22 intro zenon_D_pnotp.
% 43.06/43.22 apply zenon_H579.
% 43.06/43.22 rewrite <- zenon_D_pnotp.
% 43.06/43.22 exact zenon_H57a.
% 43.06/43.22 cut (((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H57b].
% 43.06/43.22 cut (((h2 (op1 (e13) (e10))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H57c].
% 43.06/43.22 congruence.
% 43.06/43.22 cut (((h2 (e12)) = (op2 (e21) (e21))) = ((h2 (op1 (e13) (e10))) = (e22))).
% 43.06/43.22 intro zenon_D_pnotp.
% 43.06/43.22 apply zenon_H57c.
% 43.06/43.22 rewrite <- zenon_D_pnotp.
% 43.06/43.22 exact zenon_H4b9.
% 43.06/43.22 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 43.06/43.22 cut (((h2 (e12)) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H57d].
% 43.06/43.22 congruence.
% 43.06/43.22 elim (classic ((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10))))); [ zenon_intro zenon_H57a | zenon_intro zenon_H57b ].
% 43.06/43.22 cut (((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10)))) = ((h2 (e12)) = (h2 (op1 (e13) (e10))))).
% 43.06/43.22 intro zenon_D_pnotp.
% 43.06/43.22 apply zenon_H57d.
% 43.06/43.22 rewrite <- zenon_D_pnotp.
% 43.06/43.22 exact zenon_H57a.
% 43.06/43.22 cut (((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H57b].
% 43.06/43.22 cut (((h2 (op1 (e13) (e10))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H57e].
% 43.06/43.22 congruence.
% 43.06/43.22 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H57f].
% 43.06/43.22 congruence.
% 43.06/43.22 exact (zenon_H57f zenon_H338).
% 43.06/43.22 apply zenon_H57b. apply refl_equal.
% 43.06/43.22 apply zenon_H57b. apply refl_equal.
% 43.06/43.22 apply zenon_H4a. apply sym_equal. exact zenon_H41.
% 43.06/43.22 apply zenon_H57b. apply refl_equal.
% 43.06/43.22 apply zenon_H57b. apply refl_equal.
% 43.06/43.22 (* end of lemma zenon_L546_ *)
% 43.06/43.22 assert (zenon_L547_ : ((op2 (e23) (e20)) = (e22)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((op1 (e13) (e10)) = (e12)) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_Hb8 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H41 zenon_H338 zenon_H580.
% 43.06/43.22 elim (classic ((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10))))); [ zenon_intro zenon_H581 | zenon_intro zenon_H582 ].
% 43.06/43.22 cut (((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10)))) = ((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))).
% 43.06/43.22 intro zenon_D_pnotp.
% 43.06/43.22 apply zenon_H580.
% 43.06/43.22 rewrite <- zenon_D_pnotp.
% 43.06/43.22 exact zenon_H581.
% 43.06/43.22 cut (((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H582].
% 43.06/43.22 cut (((op2 (h2 (e13)) (h2 (e10))) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H583].
% 43.06/43.22 congruence.
% 43.06/43.22 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (h2 (e13)) (h2 (e10))) = (h2 (op1 (e13) (e10))))).
% 43.06/43.22 intro zenon_D_pnotp.
% 43.06/43.22 apply zenon_H583.
% 43.06/43.22 rewrite <- zenon_D_pnotp.
% 43.06/43.22 exact zenon_Hb8.
% 43.06/43.22 cut (((e22) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H579].
% 43.06/43.22 cut (((op2 (e23) (e20)) = (op2 (h2 (e13)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H584].
% 43.06/43.22 congruence.
% 43.06/43.22 elim (classic ((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10))))); [ zenon_intro zenon_H581 | zenon_intro zenon_H582 ].
% 43.06/43.22 cut (((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10)))) = ((op2 (e23) (e20)) = (op2 (h2 (e13)) (h2 (e10))))).
% 43.06/43.22 intro zenon_D_pnotp.
% 43.06/43.22 apply zenon_H584.
% 43.06/43.22 rewrite <- zenon_D_pnotp.
% 43.06/43.22 exact zenon_H581.
% 43.06/43.22 cut (((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H582].
% 43.06/43.22 cut (((op2 (h2 (e13)) (h2 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H585].
% 43.06/43.22 congruence.
% 43.06/43.22 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 43.06/43.22 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4c8].
% 43.06/43.22 congruence.
% 43.06/43.22 apply (zenon_L437_); trivial.
% 43.06/43.22 apply (zenon_L395_); trivial.
% 43.06/43.22 apply zenon_H582. apply refl_equal.
% 43.06/43.22 apply zenon_H582. apply refl_equal.
% 43.06/43.22 apply (zenon_L546_); trivial.
% 43.06/43.22 apply zenon_H582. apply refl_equal.
% 43.06/43.22 apply zenon_H582. apply refl_equal.
% 43.06/43.22 (* end of lemma zenon_L547_ *)
% 43.06/43.22 assert (zenon_L548_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> ((op2 (e23) (e20)) = (e22)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H342 zenon_H290 zenon_H395 zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H32c zenon_H383 zenon_H374 zenon_H39b zenon_H331 zenon_H301 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H285 zenon_H40d zenon_H3e0 zenon_H287 zenon_H372 zenon_H378 zenon_Hb8 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H41 zenon_H580.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H330 | zenon_intro zenon_H34a ].
% 43.06/43.22 apply (zenon_L468_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H332 | zenon_intro zenon_H34b ].
% 43.06/43.22 apply (zenon_L259_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H34c | zenon_intro zenon_H338 ].
% 43.06/43.22 apply (zenon_L352_); trivial.
% 43.06/43.22 apply (zenon_L547_); trivial.
% 43.06/43.22 (* end of lemma zenon_L548_ *)
% 43.06/43.22 assert (zenon_L549_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (e13))) -> ((op1 (e13) (e12)) = (e12)) -> (~((e12) = (e13))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H3a5 zenon_H360 zenon_H337 zenon_H293 zenon_H376 zenon_H374 zenon_H303 zenon_H383.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 43.06/43.22 apply (zenon_L268_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 43.06/43.22 exact (zenon_H293 zenon_H28f).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 43.06/43.22 apply (zenon_L273_); trivial.
% 43.06/43.22 apply (zenon_L277_); trivial.
% 43.06/43.22 (* end of lemma zenon_L549_ *)
% 43.06/43.22 assert (zenon_L550_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((e10) = (e13))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e12) = (e13))) -> (~((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e13)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H378 zenon_H580 zenon_H41 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_Hb8 zenon_H287 zenon_H285 zenon_H383 zenon_H303 zenon_H374 zenon_H293 zenon_H337 zenon_H360 zenon_H3a5 zenon_H2d1 zenon_H2f7.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 43.06/43.22 apply (zenon_L547_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 43.06/43.22 apply (zenon_L227_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 43.06/43.22 apply (zenon_L549_); trivial.
% 43.06/43.22 apply (zenon_L354_); trivial.
% 43.06/43.22 (* end of lemma zenon_L550_ *)
% 43.06/43.22 assert (zenon_L551_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((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 (e10) (e13)) = (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))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op2 (e23) (e20)) = (e22)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H418 zenon_H32e zenon_H297 zenon_H372 zenon_H3e0 zenon_H301 zenon_H331 zenon_H342 zenon_H39b zenon_H2f7 zenon_H3a5 zenon_H337 zenon_H293 zenon_H374 zenon_H287 zenon_Hb8 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H41 zenon_H580 zenon_H378 zenon_H2c5 zenon_H305 zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 43.06/43.22 exact (zenon_H32e zenon_H330).
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 43.06/43.22 apply (zenon_L347_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 43.06/43.22 apply (zenon_L548_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 43.06/43.22 apply (zenon_L249_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 43.06/43.22 apply (zenon_L250_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 43.06/43.22 apply (zenon_L239_); trivial.
% 43.06/43.22 apply (zenon_L550_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 43.06/43.22 apply (zenon_L233_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 43.06/43.22 apply (zenon_L280_); trivial.
% 43.06/43.22 apply (zenon_L284_); trivial.
% 43.06/43.22 (* end of lemma zenon_L551_ *)
% 43.06/43.22 assert (zenon_L552_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((e10) = (e13))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e11)) = (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 (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 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H125 zenon_Hf3 zenon_H290 zenon_H285 zenon_H271 zenon_H395 zenon_H274 zenon_H2fd zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H32c zenon_H383 zenon_H305 zenon_H2c5 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H4c9 zenon_H287 zenon_H374 zenon_H293 zenon_H337 zenon_H3a5 zenon_H2f7 zenon_H39b zenon_H342 zenon_H331 zenon_H301 zenon_H3e0 zenon_H372 zenon_H297 zenon_H32e zenon_H418 zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hef.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 43.06/43.22 apply (zenon_L64_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 43.06/43.22 apply (zenon_L8_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 43.06/43.22 apply (zenon_L65_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.22 apply (zenon_L551_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.22 apply (zenon_L11_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.22 apply (zenon_L80_); trivial.
% 43.06/43.22 apply (zenon_L49_); trivial.
% 43.06/43.22 (* end of lemma zenon_L552_ *)
% 43.06/43.22 assert (zenon_L553_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e20)) = (e22)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H418 zenon_H297 zenon_H580 zenon_H41 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_Hb8 zenon_H378 zenon_H372 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 43.06/43.22 apply (zenon_L468_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 43.06/43.22 apply (zenon_L347_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 43.06/43.22 apply (zenon_L548_); trivial.
% 43.06/43.22 apply (zenon_L256_); trivial.
% 43.06/43.22 (* end of lemma zenon_L553_ *)
% 43.06/43.22 assert (zenon_L554_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_Hf3 zenon_H2d6 zenon_H285 zenon_H271 zenon_H2d2 zenon_H323 zenon_H2c5 zenon_H274 zenon_H2da zenon_H342 zenon_H290 zenon_H395 zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H32c zenon_H383 zenon_H374 zenon_H39b zenon_H331 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H372 zenon_H378 zenon_H4c9 zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H297 zenon_H418 zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hbf zenon_Hef.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.22 apply (zenon_L553_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.22 apply (zenon_L11_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.22 apply (zenon_L80_); trivial.
% 43.06/43.22 apply (zenon_L49_); trivial.
% 43.06/43.22 (* end of lemma zenon_L554_ *)
% 43.06/43.22 assert (zenon_L555_ : ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (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) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H41d zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H11f zenon_H30 zenon_H2d zenon_H2f zenon_H125 zenon_Hf3 zenon_Hef zenon_Hba zenon_H83 zenon_H4c zenon_H82 zenon_H12c zenon_H131 zenon_H43 zenon_H32e zenon_H297 zenon_H285 zenon_H342 zenon_H46b zenon_H4c9 zenon_H4b9 zenon_H41 zenon_H580 zenon_H372 zenon_H287 zenon_H3e0 zenon_H305 zenon_H301 zenon_H2c5 zenon_H2f7 zenon_H378 zenon_H331 zenon_H374 zenon_H29e zenon_H271 zenon_H383 zenon_H32c zenon_H2ae zenon_H290 zenon_H2fd zenon_H274 zenon_H2c2 zenon_H2de zenon_H391 zenon_H395 zenon_H2a2 zenon_H39b zenon_H337 zenon_H3a5 zenon_H418 zenon_H130.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.22 apply (zenon_L552_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 43.06/43.22 apply (zenon_L64_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 43.06/43.22 apply (zenon_L8_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 43.06/43.22 apply (zenon_L65_); trivial.
% 43.06/43.22 apply (zenon_L554_); trivial.
% 43.06/43.22 (* end of lemma zenon_L555_ *)
% 43.06/43.22 assert (zenon_L556_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H3ae zenon_H30a zenon_H340 zenon_H130 zenon_H418 zenon_H374 zenon_H331 zenon_H378 zenon_H301 zenon_H3e0 zenon_H287 zenon_H372 zenon_H580 zenon_H41 zenon_H4b9 zenon_H4c9 zenon_H46b zenon_H342 zenon_H297 zenon_H43 zenon_H131 zenon_H12c zenon_H82 zenon_H4c zenon_H83 zenon_Hba zenon_Hef zenon_Hf3 zenon_H125 zenon_H2f zenon_H2d zenon_H30 zenon_H11f zenon_H2d2 zenon_H2d6 zenon_H2da zenon_H305 zenon_H337 zenon_H290 zenon_H285 zenon_H3a0 zenon_H3a5 zenon_H2c5 zenon_H2fd zenon_H271 zenon_H274 zenon_H2f7 zenon_H29e zenon_H383 zenon_H2ae zenon_H2de zenon_H391 zenon_H395 zenon_H2a2 zenon_H39b.
% 43.06/43.22 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.22 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.22 apply (zenon_L262_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.22 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.22 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.22 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.22 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.22 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.22 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.22 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.22 apply (zenon_L555_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.22 apply (zenon_L292_); trivial.
% 43.06/43.22 apply (zenon_L301_); trivial.
% 43.06/43.22 (* end of lemma zenon_L556_ *)
% 43.06/43.22 assert (zenon_L557_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op2 (e23) (e20)) = (e22)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e13))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H2ae zenon_H29e zenon_H303 zenon_H301 zenon_H3a5 zenon_H3e4 zenon_H374 zenon_H395 zenon_H271 zenon_H274 zenon_H2a2 zenon_H2de zenon_H285 zenon_H2fd zenon_H2c2 zenon_H287 zenon_Hb8 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H41 zenon_H580 zenon_H378 zenon_H293.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 43.06/43.22 apply (zenon_L233_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 43.06/43.22 apply (zenon_L234_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 43.06/43.22 apply (zenon_L547_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 43.06/43.22 apply (zenon_L227_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 43.06/43.22 apply (zenon_L353_); trivial.
% 43.06/43.22 apply (zenon_L251_); trivial.
% 43.06/43.22 exact (zenon_H293 zenon_H28f).
% 43.06/43.22 (* end of lemma zenon_L557_ *)
% 43.06/43.22 assert (zenon_L558_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_Hf3 zenon_H293 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H4c9 zenon_H287 zenon_H2c2 zenon_H2fd zenon_H285 zenon_H2de zenon_H2a2 zenon_H274 zenon_H271 zenon_H395 zenon_H374 zenon_H3e4 zenon_H3a5 zenon_H301 zenon_H303 zenon_H29e zenon_H2ae zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hbf zenon_Hef.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.22 apply (zenon_L557_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.22 apply (zenon_L11_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.22 apply (zenon_L80_); trivial.
% 43.06/43.22 apply (zenon_L49_); trivial.
% 43.06/43.22 (* end of lemma zenon_L558_ *)
% 43.06/43.22 assert (zenon_L559_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H125 zenon_Hf3 zenon_H293 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H4c9 zenon_H287 zenon_H2c2 zenon_H2fd zenon_H285 zenon_H2de zenon_H2a2 zenon_H274 zenon_H271 zenon_H395 zenon_H374 zenon_H3e4 zenon_H3a5 zenon_H301 zenon_H303 zenon_H29e zenon_H2ae zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hef.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 43.06/43.22 apply (zenon_L64_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 43.06/43.22 apply (zenon_L8_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 43.06/43.22 apply (zenon_L65_); trivial.
% 43.06/43.22 apply (zenon_L558_); trivial.
% 43.06/43.22 (* end of lemma zenon_L559_ *)
% 43.06/43.22 assert (zenon_L560_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> ((op2 (e23) (e20)) = (e22)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H342 zenon_H290 zenon_H395 zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H3e4 zenon_H3a5 zenon_H374 zenon_H39b zenon_H331 zenon_H301 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H285 zenon_H40d zenon_H3e0 zenon_H287 zenon_H372 zenon_H378 zenon_Hb8 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H41 zenon_H580.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H342); [ zenon_intro zenon_H330 | zenon_intro zenon_H34a ].
% 43.06/43.22 apply (zenon_L346_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H332 | zenon_intro zenon_H34b ].
% 43.06/43.22 apply (zenon_L259_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H34c | zenon_intro zenon_H338 ].
% 43.06/43.22 apply (zenon_L352_); trivial.
% 43.06/43.22 apply (zenon_L547_); trivial.
% 43.06/43.22 (* end of lemma zenon_L560_ *)
% 43.06/43.22 assert (zenon_L561_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e20)) = (e22)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H418 zenon_H297 zenon_H580 zenon_H41 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_Hb8 zenon_H378 zenon_H372 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H3a5 zenon_H3e4 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 43.06/43.22 apply (zenon_L346_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 43.06/43.22 apply (zenon_L347_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 43.06/43.22 apply (zenon_L560_); trivial.
% 43.06/43.22 apply (zenon_L256_); trivial.
% 43.06/43.22 (* end of lemma zenon_L561_ *)
% 43.06/43.22 assert (zenon_L562_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_Hf3 zenon_H2d6 zenon_H285 zenon_H271 zenon_H2d2 zenon_H323 zenon_H2c5 zenon_H274 zenon_H2da zenon_H342 zenon_H290 zenon_H395 zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H3e4 zenon_H3a5 zenon_H374 zenon_H39b zenon_H331 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H372 zenon_H378 zenon_H4c9 zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H297 zenon_H418 zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hbf zenon_Hef.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.22 apply (zenon_L561_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.22 apply (zenon_L11_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.22 apply (zenon_L80_); trivial.
% 43.06/43.22 apply (zenon_L49_); trivial.
% 43.06/43.22 (* end of lemma zenon_L562_ *)
% 43.06/43.22 assert (zenon_L563_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> False).
% 43.06/43.22 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H125 zenon_Hf3 zenon_H2d6 zenon_H285 zenon_H271 zenon_H2d2 zenon_H323 zenon_H2c5 zenon_H274 zenon_H2da zenon_H342 zenon_H290 zenon_H395 zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H3e4 zenon_H3a5 zenon_H374 zenon_H39b zenon_H331 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H372 zenon_H378 zenon_H4c9 zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H297 zenon_H418 zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hef.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 43.06/43.22 apply (zenon_L64_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 43.06/43.22 apply (zenon_L8_); trivial.
% 43.06/43.22 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 43.06/43.22 apply (zenon_L65_); trivial.
% 43.06/43.22 apply (zenon_L562_); trivial.
% 43.06/43.22 (* end of lemma zenon_L563_ *)
% 43.06/43.22 assert (zenon_L564_ : ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((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) (op1 (e11) (e13))) = (e13)) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H41d zenon_H39b zenon_H391 zenon_H3e0 zenon_H290 zenon_H297 zenon_H342 zenon_H372 zenon_H305 zenon_H2c5 zenon_H2f7 zenon_H331 zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H418 zenon_H11f zenon_H30 zenon_H2d zenon_H2f zenon_H125 zenon_Hf3 zenon_Hef zenon_Hba zenon_H83 zenon_H4c zenon_H82 zenon_H12c zenon_H131 zenon_H43 zenon_H29e zenon_H271 zenon_H285 zenon_H2a2 zenon_H378 zenon_H303 zenon_H301 zenon_H3e4 zenon_H374 zenon_H395 zenon_H2de zenon_H2c2 zenon_H274 zenon_H2fd zenon_H3a5 zenon_H287 zenon_H46b zenon_H4c9 zenon_H4b9 zenon_H41 zenon_H580 zenon_H2ae zenon_H130.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.23 apply (zenon_L559_); trivial.
% 43.06/43.23 apply (zenon_L563_); trivial.
% 43.06/43.23 (* end of lemma zenon_L564_ *)
% 43.06/43.23 assert (zenon_L565_ : (((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H3e9 zenon_H30a zenon_H130 zenon_H2ae zenon_H580 zenon_H41 zenon_H4b9 zenon_H4c9 zenon_H46b zenon_H287 zenon_H2fd zenon_H274 zenon_H2de zenon_H395 zenon_H374 zenon_H378 zenon_H2a2 zenon_H29e zenon_H43 zenon_H131 zenon_H12c zenon_H82 zenon_H4c zenon_H83 zenon_Hba zenon_Hef zenon_Hf3 zenon_H125 zenon_H2f zenon_H2d zenon_H30 zenon_H11f zenon_H418 zenon_H2d2 zenon_H2d6 zenon_H2da zenon_H331 zenon_H2f7 zenon_H2c5 zenon_H305 zenon_H372 zenon_H342 zenon_H297 zenon_H3e0 zenon_H391 zenon_H39b zenon_H301 zenon_H383 zenon_H290 zenon_H271 zenon_H285 zenon_H3a0 zenon_H3a5.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.23 apply (zenon_L314_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.23 apply (zenon_L564_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.23 apply (zenon_L320_); trivial.
% 43.06/43.23 apply (zenon_L321_); trivial.
% 43.06/43.23 (* end of lemma zenon_L565_ *)
% 43.06/43.23 assert (zenon_L566_ : (((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13)))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H41b zenon_H30a zenon_H130 zenon_H2ae zenon_H580 zenon_H41 zenon_H4b9 zenon_H4c9 zenon_H46b zenon_H287 zenon_H2fd zenon_H274 zenon_H2de zenon_H395 zenon_H374 zenon_H378 zenon_H2a2 zenon_H29e zenon_H43 zenon_H131 zenon_H12c zenon_H82 zenon_H4c zenon_H83 zenon_Hba zenon_Hef zenon_Hf3 zenon_H125 zenon_H2f zenon_H2d zenon_H30 zenon_H11f zenon_H418 zenon_H2d2 zenon_H2d6 zenon_H2da zenon_H372 zenon_H305 zenon_H2c5 zenon_H2f7 zenon_H297 zenon_H3e0 zenon_H391 zenon_H39b zenon_H301 zenon_H383 zenon_H290 zenon_H271 zenon_H285 zenon_H3a0 zenon_H3a5.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H34c. zenon_intro zenon_H41c.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H3dd. zenon_intro zenon_H263.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.23 apply (zenon_L344_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.23 apply (zenon_L559_); trivial.
% 43.06/43.23 apply (zenon_L356_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.23 apply (zenon_L320_); trivial.
% 43.06/43.23 apply (zenon_L321_); trivial.
% 43.06/43.23 (* end of lemma zenon_L566_ *)
% 43.06/43.23 assert (zenon_L567_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H305 zenon_H2fc zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H301 zenon_H302.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 43.06/43.23 exact (zenon_H2fc zenon_H2f8).
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 43.06/43.23 apply (zenon_L250_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 43.06/43.23 apply (zenon_L239_); trivial.
% 43.06/43.23 apply (zenon_L251_); trivial.
% 43.06/43.23 (* end of lemma zenon_L567_ *)
% 43.06/43.23 assert (zenon_L568_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H378 zenon_H580 zenon_H41 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_Hb8 zenon_H287 zenon_H3e0 zenon_H40d zenon_H285 zenon_H305 zenon_H2fc zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H301.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 43.06/43.23 apply (zenon_L547_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 43.06/43.23 apply (zenon_L227_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 43.06/43.23 apply (zenon_L351_); trivial.
% 43.06/43.23 apply (zenon_L567_); trivial.
% 43.06/43.23 (* end of lemma zenon_L568_ *)
% 43.06/43.23 assert (zenon_L569_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op2 (e23) (e20)) = (e22)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H418 zenon_H360 zenon_H374 zenon_H297 zenon_H301 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2fc zenon_H305 zenon_H285 zenon_H3e0 zenon_H287 zenon_Hb8 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H41 zenon_H580 zenon_H378 zenon_H2d0 zenon_H2d2.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 43.06/43.23 apply (zenon_L345_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 43.06/43.23 apply (zenon_L347_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 43.06/43.23 apply (zenon_L568_); trivial.
% 43.06/43.23 apply (zenon_L241_); trivial.
% 43.06/43.23 (* end of lemma zenon_L569_ *)
% 43.06/43.23 assert (zenon_L570_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> ((op1 (e10) (e10)) = (e13)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H125 zenon_Hf3 zenon_H2d2 zenon_H2d0 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H4c9 zenon_H287 zenon_H3e0 zenon_H285 zenon_H305 zenon_H2fc zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H301 zenon_H297 zenon_H374 zenon_H360 zenon_H418 zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hef.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 43.06/43.23 apply (zenon_L64_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 43.06/43.23 apply (zenon_L8_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 43.06/43.23 apply (zenon_L65_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.23 apply (zenon_L569_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.23 apply (zenon_L11_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.23 apply (zenon_L80_); trivial.
% 43.06/43.23 apply (zenon_L49_); trivial.
% 43.06/43.23 (* end of lemma zenon_L570_ *)
% 43.06/43.23 assert (zenon_L571_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H378 zenon_H580 zenon_H41 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_Hb8 zenon_H287 zenon_H285 zenon_H375 zenon_H374 zenon_H458.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 43.06/43.23 apply (zenon_L547_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 43.06/43.23 apply (zenon_L227_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 43.06/43.23 apply (zenon_L273_); trivial.
% 43.06/43.23 exact (zenon_H458 zenon_H302).
% 43.06/43.23 (* end of lemma zenon_L571_ *)
% 43.06/43.23 assert (zenon_L572_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((e12) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_Hf3 zenon_H458 zenon_H374 zenon_H375 zenon_H285 zenon_H287 zenon_H4c9 zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H378 zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hbf zenon_Hef.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.23 apply (zenon_L571_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.23 apply (zenon_L11_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.23 apply (zenon_L80_); trivial.
% 43.06/43.23 apply (zenon_L49_); trivial.
% 43.06/43.23 (* end of lemma zenon_L572_ *)
% 43.06/43.23 assert (zenon_L573_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((e12) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H125 zenon_Hf3 zenon_H458 zenon_H374 zenon_H375 zenon_H285 zenon_H287 zenon_H4c9 zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H378 zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hef.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 43.06/43.23 apply (zenon_L64_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 43.06/43.23 apply (zenon_L8_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 43.06/43.23 apply (zenon_L65_); trivial.
% 43.06/43.23 apply (zenon_L572_); trivial.
% 43.06/43.23 (* end of lemma zenon_L573_ *)
% 43.06/43.23 assert (zenon_L574_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e20) (e20)) = (e23)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H55f zenon_H130 zenon_H11f zenon_H2f zenon_H125 zenon_Hf3 zenon_H374 zenon_H285 zenon_H287 zenon_H4c9 zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H378 zenon_H43 zenon_H12c zenon_H82 zenon_H2d zenon_H41 zenon_H4c zenon_Hba zenon_H83 zenon_H131 zenon_Hef.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.23 apply (zenon_L573_); trivial.
% 43.06/43.23 (* end of lemma zenon_L574_ *)
% 43.06/43.23 assert (zenon_L575_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (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)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((e12) = (e13))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> False).
% 43.06/43.23 do 0 intro. intros zenon_H524 zenon_H2cb zenon_H337 zenon_H340 zenon_H36a zenon_H36e zenon_H3da zenon_H37f zenon_H342 zenon_H331 zenon_H30b zenon_H3fb zenon_H2b2 zenon_H39a zenon_H27b zenon_H273 zenon_H294 zenon_H2f4 zenon_H3a5 zenon_H3a0 zenon_H383 zenon_H39b zenon_H391 zenon_H372 zenon_H2da zenon_H2d6 zenon_H29e zenon_H395 zenon_H2de zenon_H2ae zenon_H30a zenon_H418 zenon_H297 zenon_H301 zenon_H3e0 zenon_H2d2 zenon_H2a2 zenon_H2c5 zenon_H274 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H290 zenon_H271 zenon_Hef zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_H12c zenon_H43 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H4c9 zenon_H287 zenon_H285 zenon_H374 zenon_Hf3 zenon_H125 zenon_H2f zenon_H11f zenon_H130.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.23 apply (zenon_L217_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.23 apply (zenon_L218_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.23 apply (zenon_L219_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.23 apply (zenon_L220_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.23 apply (zenon_L221_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.23 apply (zenon_L222_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.23 apply (zenon_L254_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.23 apply (zenon_L257_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.23 apply (zenon_L258_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.23 apply (zenon_L556_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.23 apply (zenon_L303_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.23 apply (zenon_L304_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.23 apply (zenon_L305_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.23 apply (zenon_L306_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.23 apply (zenon_L307_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.23 apply (zenon_L308_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.23 apply (zenon_L309_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.23 apply (zenon_L310_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.23 apply (zenon_L313_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.23 apply (zenon_L565_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.23 apply (zenon_L323_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.23 apply (zenon_L324_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.23 apply (zenon_L325_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.23 apply (zenon_L326_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.23 apply (zenon_L327_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.23 apply (zenon_L328_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.23 apply (zenon_L329_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.23 apply (zenon_L330_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.23 apply (zenon_L337_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.23 apply (zenon_L338_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.23 apply (zenon_L339_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.23 apply (zenon_L340_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.23 apply (zenon_L341_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.23 apply (zenon_L342_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.23 apply (zenon_L343_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.23 apply (zenon_L566_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.23 apply (zenon_L359_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.23 apply (zenon_L360_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.23 apply (zenon_L361_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.23 apply (zenon_L362_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.23 apply (zenon_L363_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.23 apply (zenon_L364_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.23 apply (zenon_L365_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.23 apply (zenon_L366_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 43.06/43.23 apply (zenon_L570_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.23 apply (zenon_L373_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.23 apply (zenon_L374_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.23 apply (zenon_L375_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.23 apply (zenon_L376_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.23 apply (zenon_L378_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.23 apply (zenon_L379_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.23 apply (zenon_L380_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.23 apply (zenon_L381_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.23 apply (zenon_L382_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.23 apply (zenon_L383_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.23 apply (zenon_L384_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.23 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.06/43.23 apply (zenon_L573_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.23 apply (zenon_L574_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.23 apply (zenon_L401_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.23 apply (zenon_L402_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.23 apply (zenon_L403_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.23 apply (zenon_L404_); trivial.
% 43.06/43.23 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.23 apply (zenon_L405_); trivial.
% 43.06/43.23 apply (zenon_L406_); trivial.
% 43.06/43.23 (* end of lemma zenon_L575_ *)
% 43.06/43.23 assert (zenon_L576_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((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 (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) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (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 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H10d zenon_H130 zenon_H11f zenon_H125 zenon_H374 zenon_H285 zenon_H287 zenon_H4c9 zenon_H46b zenon_H4b9 zenon_H580 zenon_H378 zenon_H12c zenon_H82 zenon_H131 zenon_H271 zenon_H290 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H274 zenon_H2c5 zenon_H2a2 zenon_H2d2 zenon_H3e0 zenon_H301 zenon_H297 zenon_H418 zenon_H30a zenon_H2ae zenon_H2de zenon_H395 zenon_H29e zenon_H2d6 zenon_H2da zenon_H372 zenon_H391 zenon_H39b zenon_H383 zenon_H3a0 zenon_H3a5 zenon_H2f4 zenon_H294 zenon_H273 zenon_H27b zenon_H39a zenon_H2b2 zenon_H3fb zenon_H30b zenon_H331 zenon_H342 zenon_H37f zenon_H3da zenon_H36e zenon_H36a zenon_H340 zenon_H337 zenon_H2cb zenon_H524 zenon_H9d zenon_H92 zenon_H8c zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_Hef zenon_H43 zenon_Hba zenon_H84 zenon_Hf3 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.24 apply (zenon_L575_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.24 apply (zenon_L17_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.24 apply (zenon_L30_); trivial.
% 43.06/43.24 apply (zenon_L57_); trivial.
% 43.06/43.24 (* end of lemma zenon_L576_ *)
% 43.06/43.24 assert (zenon_L577_ : ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((e21) = (e22))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H181 zenon_H159 zenon_H524 zenon_H3fb zenon_H39a zenon_H3da zenon_H36e zenon_H36a zenon_H37f zenon_H3a0 zenon_H11f zenon_H30 zenon_H2d zenon_H2f zenon_H125 zenon_Hf3 zenon_Hef zenon_Hba zenon_H4c zenon_H82 zenon_H12c zenon_H131 zenon_H43 zenon_H46b zenon_H4c9 zenon_H4b9 zenon_H41 zenon_H580 zenon_H372 zenon_H3e0 zenon_H378 zenon_H374 zenon_H383 zenon_H391 zenon_H395 zenon_H39b zenon_H3a5 zenon_H418 zenon_H130 zenon_H340 zenon_H331 zenon_H337 zenon_H342 zenon_H30a zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H2cb zenon_H2c5 zenon_H2de zenon_H2f4 zenon_H305 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H30b zenon_H2b2 zenon_H29e zenon_H2a2 zenon_H2ae zenon_H297 zenon_H273 zenon_H274 zenon_H271 zenon_H27b zenon_H287 zenon_H285 zenon_H290 zenon_H294 zenon_H5a zenon_Ha1 zenon_H9d zenon_H92 zenon_H95 zenon_H8d zenon_H8c zenon_H86 zenon_H100 zenon_Hfa zenon_Ha4 zenon_Haa zenon_Hd9 zenon_Hd5 zenon_H6a zenon_Hc9 zenon_Hdd zenon_He9 zenon_Heb zenon_H84 zenon_Hf6 zenon_H22 zenon_H106 zenon_H10a zenon_H5e zenon_H10d.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H101 | zenon_intro zenon_H104 ].
% 43.06/43.24 apply (zenon_L576_); trivial.
% 43.06/43.24 apply (zenon_L78_); trivial.
% 43.06/43.24 (* end of lemma zenon_L577_ *)
% 43.06/43.24 assert (zenon_L578_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H10d zenon_H12c zenon_H82 zenon_Hba zenon_H131 zenon_H125 zenon_H11f zenon_H130 zenon_H159 zenon_Hf3 zenon_H11a zenon_H119 zenon_H43 zenon_Hef zenon_H9d zenon_H92 zenon_H8c zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_H155 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.24 apply (zenon_L470_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.24 apply (zenon_L17_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.24 apply (zenon_L30_); trivial.
% 43.06/43.24 apply (zenon_L84_); trivial.
% 43.06/43.24 (* end of lemma zenon_L578_ *)
% 43.06/43.24 assert (zenon_L579_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) 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(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 (e11) (e11)))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H16d zenon_H294 zenon_H27b zenon_H273 zenon_H2b2 zenon_H30b zenon_H2f4 zenon_H2cb zenon_H30a zenon_H337 zenon_H340 zenon_H3a5 zenon_H3a0 zenon_H37f zenon_H36a zenon_H36e zenon_H3da zenon_H39a zenon_H3fb zenon_H524 zenon_H181 zenon_H113 zenon_H4c zenon_H10a zenon_He9 zenon_Hdd zenon_H95 zenon_Hd9 zenon_Hc9 zenon_H5e zenon_H6a zenon_Hd5 zenon_H2f zenon_Heb zenon_Haa zenon_Ha4 zenon_Hf6 zenon_H101 zenon_Hfa zenon_H155 zenon_H100 zenon_H22 zenon_H5a zenon_H106 zenon_H8d zenon_H86 zenon_Ha1 zenon_H8c zenon_H92 zenon_H9d zenon_Hef zenon_H43 zenon_H119 zenon_Hf3 zenon_H159 zenon_H130 zenon_H11f zenon_H125 zenon_H131 zenon_Hba zenon_H82 zenon_H12c zenon_H10d zenon_H418 zenon_H297 zenon_H580 zenon_H41 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_H378 zenon_H372 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.24 apply (zenon_L577_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.24 apply (zenon_L60_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.24 apply (zenon_L578_); trivial.
% 43.06/43.24 apply (zenon_L553_); trivial.
% 43.06/43.24 (* end of lemma zenon_L579_ *)
% 43.06/43.24 assert (zenon_L580_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (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)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e13))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H16f zenon_H53 zenon_H181 zenon_H16d zenon_H524 zenon_H2cb zenon_H337 zenon_H340 zenon_H36a zenon_H36e zenon_H3da zenon_H37f zenon_H342 zenon_H331 zenon_H30b zenon_H3fb zenon_H2b2 zenon_H39a zenon_H27b zenon_H273 zenon_H294 zenon_H2f4 zenon_H3a0 zenon_H383 zenon_H39b zenon_H391 zenon_H372 zenon_H2da zenon_H2d6 zenon_H30a zenon_H418 zenon_H297 zenon_H3e0 zenon_H2d2 zenon_H2c5 zenon_H2f7 zenon_H305 zenon_H290 zenon_H113 zenon_H4c zenon_H10a zenon_He9 zenon_Hdd zenon_H95 zenon_Hd9 zenon_Hc9 zenon_H5e zenon_H6a zenon_Hd5 zenon_H2f zenon_Heb zenon_Haa zenon_Ha4 zenon_Hf6 zenon_H101 zenon_Hfa zenon_H100 zenon_H22 zenon_H5a zenon_H106 zenon_H8d zenon_H86 zenon_Ha1 zenon_H8c zenon_H92 zenon_H9d zenon_Hef zenon_H43 zenon_H119 zenon_Hf3 zenon_H159 zenon_H130 zenon_H11f zenon_H125 zenon_H131 zenon_Hba zenon_H82 zenon_H12c zenon_H10d zenon_H2ae zenon_H29e zenon_H303 zenon_H301 zenon_H3a5 zenon_H3e4 zenon_H374 zenon_H395 zenon_H271 zenon_H274 zenon_H2a2 zenon_H2de zenon_H285 zenon_H2fd zenon_H2c2 zenon_H287 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H41 zenon_H580 zenon_H378 zenon_H293.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.24 apply (zenon_L577_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.24 apply (zenon_L59_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.24 apply (zenon_L577_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.24 apply (zenon_L60_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.24 apply (zenon_L63_); trivial.
% 43.06/43.24 apply (zenon_L557_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.24 apply (zenon_L576_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.24 apply (zenon_L60_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.24 apply (zenon_L578_); trivial.
% 43.06/43.24 apply (zenon_L557_); trivial.
% 43.06/43.24 (* end of lemma zenon_L580_ *)
% 43.06/43.24 assert (zenon_L581_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = 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(op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (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)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((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 (e11) (e11)))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H16d zenon_H524 zenon_H2cb zenon_H337 zenon_H340 zenon_H36a zenon_H36e zenon_H3da zenon_H37f zenon_H30b zenon_H3fb zenon_H2b2 zenon_H39a zenon_H27b zenon_H273 zenon_H294 zenon_H2f4 zenon_H3a0 zenon_H383 zenon_H30a zenon_H113 zenon_H4c zenon_H10a zenon_He9 zenon_Hdd zenon_H95 zenon_Hd9 zenon_Hc9 zenon_H5e zenon_H6a zenon_Hd5 zenon_H2f zenon_Heb zenon_Haa zenon_Ha4 zenon_Hf6 zenon_H101 zenon_Hfa zenon_H155 zenon_H100 zenon_H22 zenon_H5a zenon_H106 zenon_H8d zenon_H86 zenon_Ha1 zenon_H8c zenon_H92 zenon_H9d zenon_Hef zenon_H43 zenon_H119 zenon_Hf3 zenon_H159 zenon_H130 zenon_H11f zenon_H125 zenon_H131 zenon_Hba zenon_H82 zenon_H12c zenon_H10d zenon_H418 zenon_H297 zenon_H580 zenon_H41 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_H378 zenon_H372 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H3a5 zenon_H3e4 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.24 apply (zenon_L576_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.24 apply (zenon_L60_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.24 apply (zenon_L578_); trivial.
% 43.06/43.24 apply (zenon_L561_); trivial.
% 43.06/43.24 (* end of lemma zenon_L581_ *)
% 43.06/43.24 assert (zenon_L582_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((e20) = (e21))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((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 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((e21) = (e22))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H16d zenon_H10d zenon_H5e zenon_H10a zenon_H106 zenon_H22 zenon_Heb zenon_He9 zenon_Hc9 zenon_H6a zenon_Hd5 zenon_Hd9 zenon_Hfa zenon_H100 zenon_H8c zenon_H8d zenon_H95 zenon_H92 zenon_H9d zenon_Ha1 zenon_H5a zenon_H294 zenon_H290 zenon_H27b zenon_H273 zenon_H2ae zenon_H2a2 zenon_H29e zenon_H2b2 zenon_H30b zenon_H2f7 zenon_H2f4 zenon_H2de zenon_H2cb zenon_H2d6 zenon_H2da zenon_H30a zenon_H342 zenon_H337 zenon_H331 zenon_H340 zenon_H130 zenon_H3a5 zenon_H39b zenon_H395 zenon_H391 zenon_H383 zenon_H372 zenon_H131 zenon_H12c zenon_H82 zenon_H4c zenon_Hba zenon_H125 zenon_H2f zenon_H11f zenon_H3a0 zenon_H37f zenon_H36a zenon_H36e zenon_H3da zenon_H39a zenon_H3fb zenon_H524 zenon_H159 zenon_H181 zenon_H113 zenon_Hef zenon_H86 zenon_Haa zenon_Ha4 zenon_Hf6 zenon_Hb0 zenon_Hdd zenon_H43 zenon_H119 zenon_Hf3 zenon_H418 zenon_H360 zenon_H374 zenon_H297 zenon_H301 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2fc zenon_H305 zenon_H285 zenon_H3e0 zenon_H287 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H41 zenon_H580 zenon_H378 zenon_H2d0 zenon_H2d2.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.24 apply (zenon_L577_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.24 apply (zenon_L60_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.24 apply (zenon_L63_); trivial.
% 43.06/43.24 apply (zenon_L569_); trivial.
% 43.06/43.24 (* end of lemma zenon_L582_ *)
% 43.06/43.24 assert (zenon_L583_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (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 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H10d zenon_H131 zenon_H82 zenon_H12c zenon_H378 zenon_H580 zenon_H4b9 zenon_H46b zenon_H4c9 zenon_H287 zenon_H285 zenon_H375 zenon_H374 zenon_H458 zenon_H125 zenon_H11f zenon_H130 zenon_H9d zenon_H92 zenon_H8c zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_Hef zenon_H43 zenon_Hba zenon_H84 zenon_Hf3 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.24 apply (zenon_L573_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.24 apply (zenon_L17_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.24 apply (zenon_L30_); trivial.
% 43.06/43.24 apply (zenon_L57_); trivial.
% 43.06/43.24 (* end of lemma zenon_L583_ *)
% 43.06/43.24 assert (zenon_L584_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (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))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e21))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (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)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H16f zenon_H53 zenon_H181 zenon_H524 zenon_H3fb zenon_H39a zenon_H3da zenon_H36e zenon_H36a zenon_H37f zenon_H3a0 zenon_H372 zenon_H3e0 zenon_H383 zenon_H391 zenon_H395 zenon_H39b zenon_H3a5 zenon_H418 zenon_H340 zenon_H331 zenon_H337 zenon_H342 zenon_H30a zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H2cb zenon_H2c5 zenon_H2de zenon_H2f4 zenon_H305 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H30b zenon_H2b2 zenon_H29e zenon_H2a2 zenon_H2ae zenon_H297 zenon_H273 zenon_H274 zenon_H271 zenon_H27b zenon_H290 zenon_H294 zenon_H16d zenon_H113 zenon_H4c zenon_H10a zenon_He9 zenon_Hdd zenon_H95 zenon_Hd9 zenon_Hc9 zenon_H5e zenon_H6a zenon_Hd5 zenon_H2f zenon_Heb zenon_Haa zenon_Ha4 zenon_Hf6 zenon_H101 zenon_Hfa zenon_H100 zenon_H22 zenon_H5a zenon_H106 zenon_H8d zenon_H86 zenon_Ha1 zenon_H8c zenon_H92 zenon_H9d zenon_Hef zenon_H43 zenon_H119 zenon_Hf3 zenon_H159 zenon_H130 zenon_H11f zenon_H125 zenon_H131 zenon_Hba zenon_H82 zenon_H12c zenon_H10d zenon_H378 zenon_H580 zenon_H41 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_H287 zenon_H285 zenon_H375 zenon_H374 zenon_H458.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.24 apply (zenon_L577_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.24 apply (zenon_L59_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.24 apply (zenon_L577_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.24 apply (zenon_L60_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.24 apply (zenon_L63_); trivial.
% 43.06/43.24 apply (zenon_L571_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.24 apply (zenon_L583_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.24 apply (zenon_L60_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.24 apply (zenon_L578_); trivial.
% 43.06/43.24 apply (zenon_L571_); trivial.
% 43.06/43.24 (* end of lemma zenon_L584_ *)
% 43.06/43.24 assert (zenon_L585_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H10d zenon_Hef zenon_H131 zenon_Hba zenon_H82 zenon_H43 zenon_H2ae zenon_H29e zenon_H303 zenon_H301 zenon_H3a5 zenon_H3e4 zenon_H374 zenon_H395 zenon_H271 zenon_H274 zenon_H2a2 zenon_H2de zenon_H285 zenon_H2fd zenon_H2c2 zenon_H287 zenon_H4c9 zenon_H46b zenon_H4b9 zenon_H580 zenon_H378 zenon_H293 zenon_Hf3 zenon_H125 zenon_H2f zenon_H11f zenon_H130 zenon_H12c zenon_Hc8 zenon_H6a zenon_H5a zenon_H1b0 zenon_H7e zenon_H1ab zenon_H5e zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.24 apply (zenon_L559_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.24 apply (zenon_L17_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.24 apply (zenon_L103_); trivial.
% 43.06/43.24 apply (zenon_L106_); trivial.
% 43.06/43.24 (* end of lemma zenon_L585_ *)
% 43.06/43.24 assert (zenon_L586_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.24 do 0 intro. intros zenon_H10d zenon_Hef zenon_H131 zenon_Hba zenon_H82 zenon_H43 zenon_H418 zenon_H360 zenon_H374 zenon_H297 zenon_H301 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H2fc zenon_H305 zenon_H285 zenon_H3e0 zenon_H287 zenon_H4c9 zenon_H46b zenon_H4b9 zenon_H580 zenon_H378 zenon_H2d0 zenon_H2d2 zenon_Hf3 zenon_H125 zenon_H2f zenon_H11f zenon_H130 zenon_H12c zenon_Hc8 zenon_H6a zenon_H5a zenon_H1b0 zenon_H7e zenon_H1ab zenon_H5e zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.24 apply (zenon_L570_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.24 apply (zenon_L17_); trivial.
% 43.06/43.24 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.24 apply (zenon_L103_); trivial.
% 43.06/43.24 apply (zenon_L106_); trivial.
% 43.06/43.24 (* end of lemma zenon_L586_ *)
% 43.06/43.24 assert (zenon_L587_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H439 zenon_H10d zenon_Hef zenon_H131 zenon_Hba zenon_H82 zenon_H43 zenon_H418 zenon_H374 zenon_H297 zenon_H301 zenon_H2c5 zenon_H274 zenon_H271 zenon_H2fd zenon_H305 zenon_H285 zenon_H3e0 zenon_H287 zenon_H4c9 zenon_H46b zenon_H4b9 zenon_H580 zenon_H378 zenon_H2d2 zenon_Hf3 zenon_H125 zenon_H2f zenon_H11f zenon_H130 zenon_H12c zenon_Hc8 zenon_H6a zenon_H5a zenon_H1b0 zenon_H7e zenon_H1ab zenon_H5e zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.25 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.25 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 43.06/43.25 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 43.06/43.25 apply (zenon_L586_); trivial.
% 43.06/43.25 (* end of lemma zenon_L587_ *)
% 43.06/43.25 assert (zenon_L588_ : (((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))))))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e10)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((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 (e23) (e20)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H2ba zenon_H10d zenon_H130 zenon_H2ae zenon_H580 zenon_H4b9 zenon_H4c9 zenon_H46b zenon_H287 zenon_H3a5 zenon_H2fd zenon_H274 zenon_H2de zenon_H395 zenon_H374 zenon_H3e4 zenon_H301 zenon_H303 zenon_H378 zenon_H2a2 zenon_H285 zenon_H271 zenon_H29e zenon_H43 zenon_H131 zenon_H82 zenon_Hba zenon_Hef zenon_Hf3 zenon_H125 zenon_H2f zenon_H11f zenon_H418 zenon_H2d2 zenon_H2d6 zenon_H2da zenon_H331 zenon_H2f7 zenon_H2c5 zenon_H305 zenon_H372 zenon_H342 zenon_H297 zenon_H290 zenon_H3e0 zenon_H391 zenon_H39b zenon_H12c zenon_Hc8 zenon_H6a zenon_H5a zenon_H5e zenon_H1b0 zenon_H1ab zenon_H1c1 zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.25 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.25 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.25 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.25 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.25 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.25 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.25 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.25 apply (zenon_L564_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.25 apply (zenon_L17_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.25 apply (zenon_L103_); trivial.
% 43.06/43.25 apply (zenon_L119_); trivial.
% 43.06/43.25 (* end of lemma zenon_L588_ *)
% 43.06/43.25 assert (zenon_L589_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H10d zenon_Hef zenon_H131 zenon_Hba zenon_H82 zenon_H43 zenon_H378 zenon_H580 zenon_H4b9 zenon_H46b zenon_H4c9 zenon_H287 zenon_H285 zenon_H375 zenon_H374 zenon_H458 zenon_Hf3 zenon_H125 zenon_H2f zenon_H11f zenon_H130 zenon_H12c zenon_Hc8 zenon_H6a zenon_H5a zenon_H5e zenon_H1b0 zenon_H1ab zenon_H1c1 zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.25 apply (zenon_L573_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.25 apply (zenon_L17_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.25 apply (zenon_L103_); trivial.
% 43.06/43.25 apply (zenon_L119_); trivial.
% 43.06/43.25 (* end of lemma zenon_L589_ *)
% 43.06/43.25 assert (zenon_L590_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e22) = (e23))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H217 zenon_H94 zenon_H1ec zenon_H7c zenon_H12c zenon_Hbf zenon_H82 zenon_H41 zenon_H4c zenon_H1e8 zenon_H131 zenon_Hef zenon_Hfa zenon_Hf3 zenon_H84 zenon_Hba zenon_H43 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_H86 zenon_H100 zenon_H125 zenon_H30 zenon_H2d.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.25 apply (zenon_L103_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.25 apply (zenon_L145_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.25 apply (zenon_L142_); trivial.
% 43.06/43.25 apply (zenon_L65_); trivial.
% 43.06/43.25 (* end of lemma zenon_L590_ *)
% 43.06/43.25 assert (zenon_L591_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e20) = (e22))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((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 (e10) (e13)) = (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))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H16d zenon_H131 zenon_H1e8 zenon_H4c zenon_H82 zenon_Hbf zenon_H12c zenon_Hba zenon_H113 zenon_Hef zenon_H86 zenon_Haa zenon_Ha4 zenon_Hf6 zenon_Hb0 zenon_Hdd zenon_H43 zenon_H119 zenon_Hf3 zenon_H418 zenon_H32e zenon_H297 zenon_H372 zenon_H3e0 zenon_H301 zenon_H331 zenon_H342 zenon_H39b zenon_H2f7 zenon_H3a5 zenon_H337 zenon_H293 zenon_H374 zenon_H287 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H41 zenon_H580 zenon_H378 zenon_H2c5 zenon_H305 zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H2fd zenon_H274 zenon_H395 zenon_H271 zenon_H285 zenon_H290.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.25 apply (zenon_L140_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.25 apply (zenon_L60_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.25 apply (zenon_L63_); trivial.
% 43.06/43.25 apply (zenon_L551_); trivial.
% 43.06/43.25 (* end of lemma zenon_L591_ *)
% 43.06/43.25 assert (zenon_L592_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e22) = (e23))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H217 zenon_H94 zenon_H43 zenon_H1ec zenon_H7c zenon_Hf3 zenon_H12c zenon_Hbf zenon_H82 zenon_H41 zenon_H4c zenon_H1e8 zenon_H131 zenon_Hef zenon_Hfa zenon_H155 zenon_He9 zenon_H100 zenon_H125 zenon_H30 zenon_H2d.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.25 apply (zenon_L103_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.25 apply (zenon_L145_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.25 apply (zenon_L152_); trivial.
% 43.06/43.25 apply (zenon_L65_); trivial.
% 43.06/43.25 (* end of lemma zenon_L592_ *)
% 43.06/43.25 assert (zenon_L593_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (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 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((e10) = (e13))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H10d zenon_H130 zenon_H418 zenon_H3a5 zenon_H337 zenon_H39b zenon_H2a2 zenon_H395 zenon_H391 zenon_H2de zenon_H2c2 zenon_H274 zenon_H2fd zenon_H290 zenon_H2ae zenon_H32c zenon_H383 zenon_H271 zenon_H29e zenon_H374 zenon_H331 zenon_H378 zenon_H2f7 zenon_H2c5 zenon_H301 zenon_H305 zenon_H3e0 zenon_H287 zenon_H372 zenon_H580 zenon_H4b9 zenon_H4c9 zenon_H46b zenon_H342 zenon_H285 zenon_H297 zenon_H32e zenon_Hba zenon_H2f zenon_H11f zenon_H2d2 zenon_H2d6 zenon_H2da zenon_H41d zenon_H125 zenon_H100 zenon_He9 zenon_H155 zenon_Hfa zenon_Hef zenon_H131 zenon_H1e8 zenon_H82 zenon_Hbf zenon_H12c zenon_Hf3 zenon_H7c zenon_H1ec zenon_H43 zenon_H217 zenon_H6a zenon_H5a zenon_H1b0 zenon_H7e zenon_H1ab zenon_H5e zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.25 apply (zenon_L555_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.25 apply (zenon_L17_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.25 apply (zenon_L592_); trivial.
% 43.06/43.25 apply (zenon_L106_); trivial.
% 43.06/43.25 (* end of lemma zenon_L593_ *)
% 43.06/43.25 assert (zenon_L594_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_Hf3 zenon_H2d6 zenon_H285 zenon_H271 zenon_H2d2 zenon_H323 zenon_H2c5 zenon_H274 zenon_H2da zenon_H342 zenon_H290 zenon_H395 zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H32c zenon_H383 zenon_H374 zenon_H39b zenon_H331 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H372 zenon_H378 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H297 zenon_H418 zenon_H43 zenon_Hdd zenon_Hb0 zenon_H41 zenon_Hbf zenon_Hef.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.25 apply (zenon_L553_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.25 apply (zenon_L11_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.25 apply (zenon_L45_); trivial.
% 43.06/43.25 apply (zenon_L49_); trivial.
% 43.06/43.25 (* end of lemma zenon_L594_ *)
% 43.06/43.25 assert (zenon_L595_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H100 zenon_Hdd zenon_H43 zenon_H418 zenon_H297 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H4c9 zenon_H378 zenon_H372 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H383 zenon_H32c zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6 zenon_Hf3 zenon_Hfa zenon_Hef zenon_H105 zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_Hbf zenon_H12c.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 43.06/43.25 apply (zenon_L594_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 43.06/43.25 apply (zenon_L52_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 43.06/43.25 apply (zenon_L141_); trivial.
% 43.06/43.25 apply (zenon_L139_); trivial.
% 43.06/43.25 (* end of lemma zenon_L595_ *)
% 43.06/43.25 assert (zenon_L596_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_Hf3 zenon_H293 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_H287 zenon_H2c2 zenon_H2fd zenon_H285 zenon_H2de zenon_H2a2 zenon_H274 zenon_H271 zenon_H395 zenon_H374 zenon_H3e4 zenon_H3a5 zenon_H301 zenon_H303 zenon_H29e zenon_H2ae zenon_H43 zenon_Hdd zenon_Hb0 zenon_H41 zenon_Hbf zenon_Hef.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.25 apply (zenon_L557_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.25 apply (zenon_L11_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.25 apply (zenon_L45_); trivial.
% 43.06/43.25 apply (zenon_L49_); trivial.
% 43.06/43.25 (* end of lemma zenon_L596_ *)
% 43.06/43.25 assert (zenon_L597_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H100 zenon_Hdd zenon_H43 zenon_H2ae zenon_H29e zenon_H303 zenon_H301 zenon_H3a5 zenon_H3e4 zenon_H374 zenon_H395 zenon_H271 zenon_H274 zenon_H2a2 zenon_H2de zenon_H285 zenon_H2fd zenon_H2c2 zenon_H287 zenon_H4c9 zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H378 zenon_H293 zenon_Hf3 zenon_Hfa zenon_Hef zenon_H105 zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_Hbf zenon_H12c.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 43.06/43.25 apply (zenon_L596_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 43.06/43.25 apply (zenon_L52_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 43.06/43.25 apply (zenon_L141_); trivial.
% 43.06/43.25 apply (zenon_L139_); trivial.
% 43.06/43.25 (* end of lemma zenon_L597_ *)
% 43.06/43.25 assert (zenon_L598_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H10d zenon_H130 zenon_H11f zenon_H2f zenon_Hba zenon_H290 zenon_H305 zenon_H2f7 zenon_H2c5 zenon_H2d2 zenon_H3e0 zenon_H297 zenon_H418 zenon_H30a zenon_H2d6 zenon_H2da zenon_H372 zenon_H391 zenon_H39b zenon_H383 zenon_H3a0 zenon_H2f4 zenon_H294 zenon_H273 zenon_H27b zenon_H39a zenon_H2b2 zenon_H3fb zenon_H30b zenon_H331 zenon_H342 zenon_H37f zenon_H3da zenon_H36e zenon_H36a zenon_H340 zenon_H337 zenon_H2cb zenon_H524 zenon_H125 zenon_H100 zenon_Hdd zenon_H43 zenon_H2ae zenon_H29e zenon_H303 zenon_H301 zenon_H3a5 zenon_H3e4 zenon_H374 zenon_H395 zenon_H271 zenon_H274 zenon_H2a2 zenon_H2de zenon_H285 zenon_H2fd zenon_H2c2 zenon_H287 zenon_H4c9 zenon_H46b zenon_H4b9 zenon_H580 zenon_H378 zenon_H293 zenon_Hf3 zenon_Hfa zenon_Hef zenon_H131 zenon_H1e8 zenon_H82 zenon_Hbf zenon_H12c zenon_H7c zenon_H1ec zenon_H217 zenon_H6a zenon_H5a zenon_H1b0 zenon_H7e zenon_H1ab zenon_H5e zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.25 apply (zenon_L575_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.25 apply (zenon_L17_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.25 apply (zenon_L103_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.25 apply (zenon_L145_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.25 apply (zenon_L597_); trivial.
% 43.06/43.25 apply (zenon_L65_); trivial.
% 43.06/43.25 apply (zenon_L106_); trivial.
% 43.06/43.25 (* end of lemma zenon_L598_ *)
% 43.06/43.25 assert (zenon_L599_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_Hf3 zenon_H2d6 zenon_H285 zenon_H271 zenon_H2d2 zenon_H323 zenon_H2c5 zenon_H274 zenon_H2da zenon_H342 zenon_H290 zenon_H395 zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H3e4 zenon_H3a5 zenon_H374 zenon_H39b zenon_H331 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H372 zenon_H378 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H297 zenon_H418 zenon_H43 zenon_Hdd zenon_Hb0 zenon_H41 zenon_Hbf zenon_Hef.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.25 apply (zenon_L561_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.25 apply (zenon_L11_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.25 apply (zenon_L45_); trivial.
% 43.06/43.25 apply (zenon_L49_); trivial.
% 43.06/43.25 (* end of lemma zenon_L599_ *)
% 43.06/43.25 assert (zenon_L600_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_H100 zenon_Hdd zenon_H43 zenon_H418 zenon_H297 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H4c9 zenon_H378 zenon_H372 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H3a5 zenon_H3e4 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6 zenon_Hf3 zenon_Hfa zenon_Hef zenon_H105 zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_Hbf zenon_H12c.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 43.06/43.25 apply (zenon_L599_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 43.06/43.25 apply (zenon_L52_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 43.06/43.25 apply (zenon_L141_); trivial.
% 43.06/43.25 apply (zenon_L139_); trivial.
% 43.06/43.25 (* end of lemma zenon_L600_ *)
% 43.06/43.25 assert (zenon_L601_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((e12) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e22))) -> False).
% 43.06/43.25 do 0 intro. intros zenon_Hf3 zenon_H458 zenon_H374 zenon_H375 zenon_H285 zenon_H287 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H378 zenon_H43 zenon_Hdd zenon_Hb0 zenon_H41 zenon_Hbf zenon_Hef.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.25 apply (zenon_L571_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.25 apply (zenon_L11_); trivial.
% 43.06/43.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.25 apply (zenon_L45_); trivial.
% 43.06/43.25 apply (zenon_L49_); trivial.
% 43.06/43.25 (* end of lemma zenon_L601_ *)
% 43.06/43.25 assert (zenon_L602_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H100 zenon_Hdd zenon_H43 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H4c9 zenon_H287 zenon_H285 zenon_H375 zenon_H374 zenon_H458 zenon_Hf3 zenon_Hfa zenon_Hef zenon_H105 zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_Hbf zenon_H12c.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 43.06/43.26 apply (zenon_L601_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 43.06/43.26 apply (zenon_L52_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 43.06/43.26 apply (zenon_L141_); trivial.
% 43.06/43.26 apply (zenon_L139_); trivial.
% 43.06/43.26 (* end of lemma zenon_L602_ *)
% 43.06/43.26 assert (zenon_L603_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((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 (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) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> (~((e12) = (e13))) -> (~((op1 (e13) (e13)) = (e12))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H10d zenon_H130 zenon_H11f zenon_H2f zenon_Hba zenon_H271 zenon_H290 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H274 zenon_H2c5 zenon_H2a2 zenon_H2d2 zenon_H3e0 zenon_H301 zenon_H297 zenon_H418 zenon_H30a zenon_H2ae zenon_H2de zenon_H395 zenon_H29e zenon_H2d6 zenon_H2da zenon_H372 zenon_H391 zenon_H39b zenon_H383 zenon_H3a0 zenon_H3a5 zenon_H2f4 zenon_H294 zenon_H273 zenon_H27b zenon_H39a zenon_H2b2 zenon_H3fb zenon_H30b zenon_H331 zenon_H342 zenon_H37f zenon_H3da zenon_H36e zenon_H36a zenon_H340 zenon_H337 zenon_H2cb zenon_H524 zenon_H125 zenon_H100 zenon_Hdd zenon_H43 zenon_H378 zenon_H580 zenon_H4b9 zenon_H46b zenon_H4c9 zenon_H287 zenon_H285 zenon_H375 zenon_H374 zenon_H458 zenon_Hf3 zenon_Hfa zenon_Hef zenon_H131 zenon_H1e8 zenon_H82 zenon_Hbf zenon_H12c zenon_H7c zenon_H1ec zenon_H217 zenon_H6a zenon_H5a zenon_H1b0 zenon_H7e zenon_H1ab zenon_H5e zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.26 apply (zenon_L575_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.26 apply (zenon_L17_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.26 apply (zenon_L103_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.26 apply (zenon_L145_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.26 apply (zenon_L602_); trivial.
% 43.06/43.26 apply (zenon_L65_); trivial.
% 43.06/43.26 apply (zenon_L106_); trivial.
% 43.06/43.26 (* end of lemma zenon_L603_ *)
% 43.06/43.26 assert (zenon_L604_ : ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e20)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H2d zenon_H1b3 zenon_H65 zenon_H139 zenon_H41 zenon_H586.
% 43.06/43.26 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 43.06/43.26 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H586.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_Had.
% 43.06/43.26 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 43.06/43.26 cut (((op2 (e21) (e23)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H587].
% 43.06/43.26 congruence.
% 43.06/43.26 cut (((e23) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e21) (e23)) = (op2 (e21) (e20)))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H587.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H2d.
% 43.06/43.26 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H138].
% 43.06/43.26 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b7].
% 43.06/43.26 congruence.
% 43.06/43.26 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ].
% 43.06/43.26 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e23) = (op2 (e21) (e23)))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H1b7.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_Had.
% 43.06/43.26 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 43.06/43.26 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 43.06/43.26 congruence.
% 43.06/43.26 exact (zenon_H1c0 zenon_H1b3).
% 43.06/43.26 apply zenon_Hae. apply refl_equal.
% 43.06/43.26 apply zenon_Hae. apply refl_equal.
% 43.06/43.26 apply (zenon_L70_); trivial.
% 43.06/43.26 apply zenon_Hae. apply refl_equal.
% 43.06/43.26 apply zenon_Hae. apply refl_equal.
% 43.06/43.26 (* end of lemma zenon_L604_ *)
% 43.06/43.26 assert (zenon_L605_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e20)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H1af zenon_H30 zenon_Haa zenon_H1c1 zenon_H1ab zenon_H2d zenon_H65 zenon_H139 zenon_H41 zenon_H586.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b1 ].
% 43.06/43.26 apply (zenon_L32_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1b2 ].
% 43.06/43.26 exact (zenon_H1c1 zenon_H1a1).
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b3 ].
% 43.06/43.26 apply (zenon_L104_); trivial.
% 43.06/43.26 apply (zenon_L604_); trivial.
% 43.06/43.26 (* end of lemma zenon_L605_ *)
% 43.06/43.26 assert (zenon_L606_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H6a zenon_H5a zenon_H5e zenon_H586 zenon_H139 zenon_H1ab zenon_H1c1 zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 43.06/43.26 apply (zenon_L17_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 43.06/43.26 apply (zenon_L18_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 43.06/43.26 apply (zenon_L605_); trivial.
% 43.06/43.26 apply (zenon_L14_); trivial.
% 43.06/43.26 (* end of lemma zenon_L606_ *)
% 43.06/43.26 assert (zenon_L607_ : (((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((op2 (e23) (e23)) = (e23)))\/((op2 (e23) (e23)) = (e23)))))))))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e22) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H15c zenon_H524 zenon_H3fb zenon_H39a zenon_H3da zenon_H36e zenon_H36a zenon_H37f zenon_H3a0 zenon_H11f zenon_H30 zenon_H2d zenon_H2f zenon_H125 zenon_Hf3 zenon_Hef zenon_Hba zenon_H4c zenon_H82 zenon_H12c zenon_H131 zenon_H43 zenon_H46b zenon_H4c9 zenon_H4b9 zenon_H41 zenon_H580 zenon_H372 zenon_H3e0 zenon_H378 zenon_H374 zenon_H383 zenon_H391 zenon_H395 zenon_H39b zenon_H3a5 zenon_H418 zenon_H130 zenon_H340 zenon_H331 zenon_H337 zenon_H342 zenon_H30a zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H2cb zenon_H2c5 zenon_H2de zenon_H2f4 zenon_H305 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H30b zenon_H2b2 zenon_H29e zenon_H2a2 zenon_H2ae zenon_H297 zenon_H273 zenon_H274 zenon_H271 zenon_H27b zenon_H287 zenon_H285 zenon_H290 zenon_H294 zenon_H6a zenon_Haa zenon_H1ab zenon_H586 zenon_H1af zenon_H5e zenon_H5a zenon_Hd5 zenon_H1e8 zenon_H16e.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H168. zenon_intro zenon_H167.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H5f ].
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H83 | zenon_intro zenon_H186 ].
% 43.06/43.26 apply (zenon_L575_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H139 | zenon_intro zenon_H187 ].
% 43.06/43.26 apply (zenon_L606_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H14d | zenon_intro zenon_H129 ].
% 43.06/43.26 apply (zenon_L74_); trivial.
% 43.06/43.26 exact (zenon_H1e8 zenon_H129).
% 43.06/43.26 apply (zenon_L18_); trivial.
% 43.06/43.26 (* end of lemma zenon_L607_ *)
% 43.06/43.26 assert (zenon_L608_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((e10) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_Hf3 zenon_H2d6 zenon_H285 zenon_H271 zenon_H2d2 zenon_H323 zenon_H2c5 zenon_H274 zenon_H2da zenon_H342 zenon_H290 zenon_H395 zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H32c zenon_H383 zenon_H374 zenon_H39b zenon_H331 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H372 zenon_H378 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H297 zenon_H418 zenon_H43 zenon_H41 zenon_H137 zenon_H82 zenon_Hf2.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.26 apply (zenon_L553_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.26 apply (zenon_L11_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.26 apply (zenon_L79_); trivial.
% 43.06/43.26 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.26 (* end of lemma zenon_L608_ *)
% 43.06/43.26 assert (zenon_L609_ : (((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H3ae zenon_H30a zenon_H340 zenon_Hf3 zenon_Hf2 zenon_H137 zenon_H82 zenon_H43 zenon_H297 zenon_H342 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_H4b9 zenon_H41 zenon_H580 zenon_H372 zenon_H287 zenon_H3e0 zenon_H301 zenon_H378 zenon_H331 zenon_H374 zenon_H418 zenon_H2da zenon_H2d6 zenon_H2d2 zenon_H305 zenon_H337 zenon_H290 zenon_H285 zenon_H3a0 zenon_H3a5 zenon_H2c5 zenon_H2fd zenon_H271 zenon_H274 zenon_H2f7 zenon_H29e zenon_H383 zenon_H2ae zenon_H2de zenon_H391 zenon_H395 zenon_H2a2 zenon_H39b.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.26 apply (zenon_L262_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.26 apply (zenon_L551_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.26 apply (zenon_L11_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.26 apply (zenon_L79_); trivial.
% 43.06/43.26 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.26 apply (zenon_L608_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.26 apply (zenon_L292_); trivial.
% 43.06/43.26 apply (zenon_L301_); trivial.
% 43.06/43.26 (* end of lemma zenon_L609_ *)
% 43.06/43.26 assert (zenon_L610_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_Hf3 zenon_H293 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_H287 zenon_H2c2 zenon_H2fd zenon_H285 zenon_H2de zenon_H2a2 zenon_H274 zenon_H271 zenon_H395 zenon_H374 zenon_H3e4 zenon_H3a5 zenon_H301 zenon_H303 zenon_H29e zenon_H2ae zenon_H43 zenon_H41 zenon_H137 zenon_H82 zenon_Hf2.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.26 apply (zenon_L557_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.26 apply (zenon_L11_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.26 apply (zenon_L79_); trivial.
% 43.06/43.26 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.26 (* end of lemma zenon_L610_ *)
% 43.06/43.26 assert (zenon_L611_ : (((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10)))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H439 zenon_Hf3 zenon_H2d2 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_H287 zenon_H3e0 zenon_H285 zenon_H305 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H301 zenon_H297 zenon_H374 zenon_H418 zenon_H43 zenon_H41 zenon_H137 zenon_H82 zenon_Hf2.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.26 apply (zenon_L569_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.26 apply (zenon_L11_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.26 apply (zenon_L79_); trivial.
% 43.06/43.26 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.26 (* end of lemma zenon_L611_ *)
% 43.06/43.26 assert (zenon_L612_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((e12) = (e13))) -> ((op1 (e13) (e12)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_Hf3 zenon_H458 zenon_H374 zenon_H375 zenon_H285 zenon_H287 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H378 zenon_H43 zenon_H41 zenon_H137 zenon_H82 zenon_Hf2.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.26 apply (zenon_L571_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.26 apply (zenon_L11_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.26 apply (zenon_L79_); trivial.
% 43.06/43.26 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.26 (* end of lemma zenon_L612_ *)
% 43.06/43.26 assert (zenon_L613_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10)))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H462 zenon_Hf3 zenon_H374 zenon_H285 zenon_H287 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H378 zenon_H43 zenon_H41 zenon_H137 zenon_H82 zenon_Hf2.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.06/43.26 apply (zenon_L612_); trivial.
% 43.06/43.26 (* end of lemma zenon_L613_ *)
% 43.06/43.26 assert (zenon_L614_ : (((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11)))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e12) = (e13))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e22) = (e23))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H55f zenon_Hf3 zenon_H374 zenon_H285 zenon_H287 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H378 zenon_H43 zenon_H41 zenon_H137 zenon_H82 zenon_Hf2.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.26 apply (zenon_L612_); trivial.
% 43.06/43.26 (* end of lemma zenon_L614_ *)
% 43.06/43.26 assert (zenon_L615_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_Hf3 zenon_H293 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_H287 zenon_H2c2 zenon_H2fd zenon_H285 zenon_H2de zenon_H2a2 zenon_H274 zenon_H271 zenon_H395 zenon_H374 zenon_H3e4 zenon_H3a5 zenon_H301 zenon_H303 zenon_H29e zenon_H2ae zenon_H43 zenon_Hdd zenon_Hb0 zenon_H41 zenon_Hf2.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.26 apply (zenon_L557_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.26 apply (zenon_L11_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.26 apply (zenon_L45_); trivial.
% 43.06/43.26 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.26 (* end of lemma zenon_L615_ *)
% 43.06/43.26 assert (zenon_L616_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e22) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_Hdd zenon_H43 zenon_H2ae zenon_H29e zenon_H303 zenon_H301 zenon_H3a5 zenon_H3e4 zenon_H374 zenon_H395 zenon_H271 zenon_H274 zenon_H2a2 zenon_H2de zenon_H285 zenon_H2fd zenon_H2c2 zenon_H287 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H378 zenon_H293 zenon_Hf3 zenon_Hfa zenon_H41 zenon_H159 zenon_H8d zenon_H82 zenon_H137.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 43.06/43.26 apply (zenon_L615_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 43.06/43.26 apply (zenon_L52_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 43.06/43.26 apply (zenon_L78_); trivial.
% 43.06/43.26 apply (zenon_L79_); trivial.
% 43.06/43.26 (* end of lemma zenon_L616_ *)
% 43.06/43.26 assert (zenon_L617_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e20) (op2 (e20) (e22))) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e22)) = (e21))) -> (~((e22) = (e23))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e11)) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H4b5 zenon_H54 zenon_H53 zenon_H1a6 zenon_H82 zenon_H159 zenon_H41 zenon_Hfa zenon_Hf3 zenon_H293 zenon_H378 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_H287 zenon_H2c2 zenon_H2fd zenon_H285 zenon_H2de zenon_H2a2 zenon_H274 zenon_H271 zenon_H395 zenon_H374 zenon_H3e4 zenon_H3a5 zenon_H301 zenon_H303 zenon_H29e zenon_H2ae zenon_H43 zenon_Hdd zenon_Hf2 zenon_H100 zenon_H1ba zenon_H137.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 43.06/43.26 apply (zenon_L16_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 43.06/43.26 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 43.06/43.26 apply (zenon_L616_); trivial.
% 43.06/43.26 apply (zenon_L430_); trivial.
% 43.06/43.26 (* end of lemma zenon_L617_ *)
% 43.06/43.26 assert (zenon_L618_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (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))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e23) (e23)) = (e22))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_Hf3 zenon_H2d6 zenon_H285 zenon_H271 zenon_H2d2 zenon_H323 zenon_H2c5 zenon_H274 zenon_H2da zenon_H342 zenon_H290 zenon_H395 zenon_H2a2 zenon_H2de zenon_H2c2 zenon_H391 zenon_H29e zenon_H2ae zenon_H3e4 zenon_H3a5 zenon_H374 zenon_H39b zenon_H331 zenon_H301 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H3e0 zenon_H287 zenon_H372 zenon_H378 zenon_H4c9 zenon_H2d zenon_H46b zenon_H30 zenon_H4b9 zenon_H580 zenon_H297 zenon_H418 zenon_H43 zenon_Hdd zenon_Hb0 zenon_H41 zenon_Hf2.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.26 apply (zenon_L561_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.26 apply (zenon_L11_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.26 apply (zenon_L45_); trivial.
% 43.06/43.26 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.26 (* end of lemma zenon_L618_ *)
% 43.06/43.26 assert (zenon_L619_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (op1 (e11) (e13))) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e22) = (e23))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_Hdd zenon_H43 zenon_H418 zenon_H297 zenon_H580 zenon_H4b9 zenon_H30 zenon_H46b zenon_H2d zenon_H4c9 zenon_H378 zenon_H372 zenon_H287 zenon_H3e0 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H301 zenon_H331 zenon_H39b zenon_H374 zenon_H3a5 zenon_H3e4 zenon_H2ae zenon_H29e zenon_H391 zenon_H2c2 zenon_H2de zenon_H2a2 zenon_H395 zenon_H290 zenon_H342 zenon_H2da zenon_H274 zenon_H2c5 zenon_H323 zenon_H2d2 zenon_H271 zenon_H285 zenon_H2d6 zenon_Hf3 zenon_Hfa zenon_H41 zenon_H159 zenon_H8d zenon_H82 zenon_H137.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 43.06/43.26 apply (zenon_L618_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 43.06/43.26 apply (zenon_L52_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 43.06/43.26 apply (zenon_L78_); trivial.
% 43.06/43.26 apply (zenon_L79_); trivial.
% 43.06/43.26 (* end of lemma zenon_L619_ *)
% 43.06/43.26 assert (zenon_L620_ : (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op1 (e13) (e11)) = (e11)) -> ((op2 (e23) (e21)) = (e21)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e11)) = (e21)) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H588 zenon_H27e zenon_H3a zenon_H4c9 zenon_H2d zenon_H497.
% 43.06/43.26 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H588.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H497.
% 43.06/43.26 cut (((e21) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H589].
% 43.06/43.26 cut (((h2 (e11)) = (h2 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H58a].
% 43.06/43.26 congruence.
% 43.06/43.26 elim (classic ((h2 (op1 (e13) (e11))) = (h2 (op1 (e13) (e11))))); [ zenon_intro zenon_H58b | zenon_intro zenon_H58c ].
% 43.06/43.26 cut (((h2 (op1 (e13) (e11))) = (h2 (op1 (e13) (e11)))) = ((h2 (e11)) = (h2 (op1 (e13) (e11))))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H58a.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H58b.
% 43.06/43.26 cut (((h2 (op1 (e13) (e11))) = (h2 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H58c].
% 43.06/43.26 cut (((h2 (op1 (e13) (e11))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58d].
% 43.06/43.26 congruence.
% 43.06/43.26 cut (((op1 (e13) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H58e].
% 43.06/43.26 congruence.
% 43.06/43.26 exact (zenon_H58e zenon_H27e).
% 43.06/43.26 apply zenon_H58c. apply refl_equal.
% 43.06/43.26 apply zenon_H58c. apply refl_equal.
% 43.06/43.26 elim (classic ((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [ zenon_intro zenon_H58f | zenon_intro zenon_H590 ].
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11)))) = ((e21) = (op2 (h2 (e13)) (h2 (e11))))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H589.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H58f.
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H590].
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e11))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H591].
% 43.06/43.26 congruence.
% 43.06/43.26 cut (((op2 (e23) (e21)) = (e21)) = ((op2 (h2 (e13)) (h2 (e11))) = (e21))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H591.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H3a.
% 43.06/43.26 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 43.06/43.26 cut (((op2 (e23) (e21)) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H592].
% 43.06/43.26 congruence.
% 43.06/43.26 elim (classic ((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [ zenon_intro zenon_H58f | zenon_intro zenon_H590 ].
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11)))) = ((op2 (e23) (e21)) = (op2 (h2 (e13)) (h2 (e11))))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H592.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H58f.
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H590].
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H593].
% 43.06/43.26 congruence.
% 43.06/43.26 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H4a4].
% 43.06/43.26 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4c8].
% 43.06/43.26 congruence.
% 43.06/43.26 apply (zenon_L437_); trivial.
% 43.06/43.26 exact (zenon_H4a4 zenon_H497).
% 43.06/43.26 apply zenon_H590. apply refl_equal.
% 43.06/43.26 apply zenon_H590. apply refl_equal.
% 43.06/43.26 apply zenon_H48. apply refl_equal.
% 43.06/43.26 apply zenon_H590. apply refl_equal.
% 43.06/43.26 apply zenon_H590. apply refl_equal.
% 43.06/43.26 (* end of lemma zenon_L620_ *)
% 43.06/43.26 assert (zenon_L621_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((h2 (e11)) = (e21)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e21)) = (e21)) -> (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H294 zenon_H274 zenon_H273 zenon_H497 zenon_H2d zenon_H4c9 zenon_H3a zenon_H588 zenon_H287 zenon_H271 zenon_H285 zenon_H290.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H275 | zenon_intro zenon_H295 ].
% 43.06/43.26 apply (zenon_L224_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H27e | zenon_intro zenon_H296 ].
% 43.06/43.26 apply (zenon_L620_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 43.06/43.26 apply (zenon_L227_); trivial.
% 43.06/43.26 apply (zenon_L230_); trivial.
% 43.06/43.26 (* end of lemma zenon_L621_ *)
% 43.06/43.26 assert (zenon_L622_ : ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op1 (e13) (e12)) = (e13)) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e23) = (h2 (op1 (e13) (e12))))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H4c9 zenon_H375 zenon_H2d zenon_H594.
% 43.06/43.26 elim (classic ((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [ zenon_intro zenon_H595 | zenon_intro zenon_H596 ].
% 43.06/43.26 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12)))) = ((e23) = (h2 (op1 (e13) (e12))))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H594.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H595.
% 43.06/43.26 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H596].
% 43.06/43.26 cut (((h2 (op1 (e13) (e12))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H597].
% 43.06/43.26 congruence.
% 43.06/43.26 cut (((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) = ((h2 (op1 (e13) (e12))) = (e23))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H597.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H4c9.
% 43.06/43.26 cut (((op2 (op2 (e21) (e21)) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 43.06/43.26 cut (((h2 (e13)) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H598].
% 43.06/43.26 congruence.
% 43.06/43.26 elim (classic ((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [ zenon_intro zenon_H595 | zenon_intro zenon_H596 ].
% 43.06/43.26 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12)))) = ((h2 (e13)) = (h2 (op1 (e13) (e12))))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H598.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H595.
% 43.06/43.26 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H596].
% 43.06/43.26 cut (((h2 (op1 (e13) (e12))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H599].
% 43.06/43.26 congruence.
% 43.06/43.26 cut (((op1 (e13) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3c7].
% 43.06/43.26 congruence.
% 43.06/43.26 exact (zenon_H3c7 zenon_H375).
% 43.06/43.26 apply zenon_H596. apply refl_equal.
% 43.06/43.26 apply zenon_H596. apply refl_equal.
% 43.06/43.26 apply zenon_H2e. apply sym_equal. exact zenon_H2d.
% 43.06/43.26 apply zenon_H596. apply refl_equal.
% 43.06/43.26 apply zenon_H596. apply refl_equal.
% 43.06/43.26 (* end of lemma zenon_L622_ *)
% 43.06/43.26 assert (zenon_L623_ : ((op2 (e23) (e22)) = (e23)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op1 (e13) (e12)) = (e13)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H137 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H375 zenon_H59a.
% 43.06/43.26 elim (classic ((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [ zenon_intro zenon_H59b | zenon_intro zenon_H59c ].
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12)))) = ((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H59a.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H59b.
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H59c].
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e12))) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H59d].
% 43.06/43.26 congruence.
% 43.06/43.26 cut (((op2 (e23) (e22)) = (e23)) = ((op2 (h2 (e13)) (h2 (e12))) = (h2 (op1 (e13) (e12))))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H59d.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H137.
% 43.06/43.26 cut (((e23) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H594].
% 43.06/43.26 cut (((op2 (e23) (e22)) = (op2 (h2 (e13)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H59e].
% 43.06/43.26 congruence.
% 43.06/43.26 elim (classic ((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [ zenon_intro zenon_H59b | zenon_intro zenon_H59c ].
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12)))) = ((op2 (e23) (e22)) = (op2 (h2 (e13)) (h2 (e12))))).
% 43.06/43.26 intro zenon_D_pnotp.
% 43.06/43.26 apply zenon_H59e.
% 43.06/43.26 rewrite <- zenon_D_pnotp.
% 43.06/43.26 exact zenon_H59b.
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H59c].
% 43.06/43.26 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H59f].
% 43.06/43.26 congruence.
% 43.06/43.26 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H4b8].
% 43.06/43.26 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4c8].
% 43.06/43.26 congruence.
% 43.06/43.26 apply (zenon_L437_); trivial.
% 43.06/43.26 apply (zenon_L434_); trivial.
% 43.06/43.26 apply zenon_H59c. apply refl_equal.
% 43.06/43.26 apply zenon_H59c. apply refl_equal.
% 43.06/43.26 apply (zenon_L622_); trivial.
% 43.06/43.26 apply zenon_H59c. apply refl_equal.
% 43.06/43.26 apply zenon_H59c. apply refl_equal.
% 43.06/43.26 (* end of lemma zenon_L623_ *)
% 43.06/43.26 assert (zenon_L624_ : (((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11)))))))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op2 (e23) (e22)) = (e23)) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e10)) = (e13)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H2ba zenon_H2ae zenon_H29e zenon_H2fd zenon_H2de zenon_H2a2 zenon_H274 zenon_H395 zenon_H137 zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H59a zenon_H337 zenon_H360 zenon_H3a5 zenon_H271 zenon_H285 zenon_H290.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 43.06/43.26 apply (zenon_L233_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 43.06/43.26 apply (zenon_L234_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 43.06/43.26 apply (zenon_L268_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 43.06/43.26 apply (zenon_L230_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 43.06/43.26 apply (zenon_L623_); trivial.
% 43.06/43.26 apply (zenon_L317_); trivial.
% 43.06/43.26 apply (zenon_L230_); trivial.
% 43.06/43.26 (* end of lemma zenon_L624_ *)
% 43.06/43.26 assert (zenon_L625_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H3a5 zenon_H360 zenon_H337 zenon_H290 zenon_H285 zenon_H271 zenon_H59a zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H137 zenon_H303 zenon_H383.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 43.06/43.26 apply (zenon_L268_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 43.06/43.26 apply (zenon_L230_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 43.06/43.26 apply (zenon_L623_); trivial.
% 43.06/43.26 apply (zenon_L277_); trivial.
% 43.06/43.26 (* end of lemma zenon_L625_ *)
% 43.06/43.26 assert (zenon_L626_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e10) = (e13))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H305 zenon_H2f7 zenon_H2fd zenon_H274 zenon_H2c5 zenon_H3a5 zenon_H360 zenon_H337 zenon_H290 zenon_H285 zenon_H271 zenon_H59a zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H137 zenon_H383.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 43.06/43.26 apply (zenon_L249_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 43.06/43.26 apply (zenon_L250_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 43.06/43.26 apply (zenon_L239_); trivial.
% 43.06/43.26 apply (zenon_L625_); trivial.
% 43.06/43.26 (* end of lemma zenon_L626_ *)
% 43.06/43.26 assert (zenon_L627_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> ((op1 (e13) (e13)) = (e10)) -> (~((e10) = (e13))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H3a5 zenon_H3e4 zenon_H290 zenon_H285 zenon_H271 zenon_H59a zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H137 zenon_H303 zenon_H383.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H3a5); [ zenon_intro zenon_H361 | zenon_intro zenon_H3a6 ].
% 43.06/43.26 exact (zenon_H3e4 zenon_H361).
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H3a6); [ zenon_intro zenon_H28f | zenon_intro zenon_H3a7 ].
% 43.06/43.26 apply (zenon_L230_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H3a7); [ zenon_intro zenon_H375 | zenon_intro zenon_H382 ].
% 43.06/43.26 apply (zenon_L623_); trivial.
% 43.06/43.26 apply (zenon_L277_); trivial.
% 43.06/43.26 (* end of lemma zenon_L627_ *)
% 43.06/43.26 assert (zenon_L628_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (e10))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> (~((e10) = (e13))) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H305 zenon_H2fc zenon_H2fd zenon_H274 zenon_H2c5 zenon_H3a5 zenon_H360 zenon_H337 zenon_H290 zenon_H285 zenon_H271 zenon_H59a zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H137 zenon_H383.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 43.06/43.26 exact (zenon_H2fc zenon_H2f8).
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 43.06/43.26 apply (zenon_L250_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 43.06/43.26 apply (zenon_L239_); trivial.
% 43.06/43.26 apply (zenon_L625_); trivial.
% 43.06/43.26 (* end of lemma zenon_L628_ *)
% 43.06/43.26 assert (zenon_L629_ : ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (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) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 43.06/43.26 do 0 intro. intros zenon_H524 zenon_H2cb zenon_H2da zenon_H2d6 zenon_H30b zenon_H2d2 zenon_H39b zenon_H391 zenon_H340 zenon_H331 zenon_H342 zenon_H301 zenon_H36a zenon_H36e zenon_H3da zenon_H37f zenon_H2f4 zenon_H383 zenon_H2ae zenon_H29e zenon_H2de zenon_H395 zenon_H337 zenon_H3a5 zenon_H2b2 zenon_H39a zenon_H287 zenon_H27b zenon_H273 zenon_H294 zenon_H297 zenon_H30a zenon_H2a2 zenon_H2c5 zenon_H274 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H290 zenon_H285 zenon_H271 zenon_H59a zenon_H2d zenon_H4c9 zenon_H41 zenon_H4b9 zenon_H137.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.26 apply (zenon_L217_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.26 apply (zenon_L218_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.26 apply (zenon_L219_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.26 apply (zenon_L220_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.26 apply (zenon_L221_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.26 apply (zenon_L222_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.26 apply (zenon_L254_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.26 apply (zenon_L257_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.26 apply (zenon_L258_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.26 apply (zenon_L262_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 43.06/43.26 apply (zenon_L624_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 43.06/43.26 apply (zenon_L233_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 43.06/43.26 apply (zenon_L280_); trivial.
% 43.06/43.26 apply (zenon_L284_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.26 apply (zenon_L292_); trivial.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H315. zenon_intro zenon_H314.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H317. zenon_intro zenon_H316.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31d. zenon_intro zenon_H31c.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_H3ad | zenon_intro zenon_H2a3 ].
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 43.06/43.26 apply (zenon_L626_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 43.06/43.26 apply (zenon_L233_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 43.06/43.26 apply (zenon_L280_); trivial.
% 43.06/43.26 apply (zenon_L299_); trivial.
% 43.06/43.26 apply (zenon_L234_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.26 apply (zenon_L303_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.26 apply (zenon_L304_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.26 apply (zenon_L305_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.26 apply (zenon_L306_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.26 apply (zenon_L307_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.26 apply (zenon_L308_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.26 apply (zenon_L309_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.26 apply (zenon_L310_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.26 apply (zenon_L313_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.26 apply (zenon_L627_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.26 apply (zenon_L323_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.26 apply (zenon_L324_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.26 apply (zenon_L325_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.26 apply (zenon_L326_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.26 apply (zenon_L327_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.26 apply (zenon_L328_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.26 apply (zenon_L329_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.26 apply (zenon_L330_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3fc). zenon_intro zenon_H387. zenon_intro zenon_H3fd.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H2a6. zenon_intro zenon_H3ca.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 43.06/43.26 apply (zenon_L628_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.26 apply (zenon_L338_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.26 apply (zenon_L339_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.26 apply (zenon_L340_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.26 apply (zenon_L341_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.26 apply (zenon_L342_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.26 apply (zenon_L343_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H34c. zenon_intro zenon_H41c.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H3dd. zenon_intro zenon_H263.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.26 apply (zenon_L627_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.26 apply (zenon_L359_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.26 apply (zenon_L360_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.26 apply (zenon_L361_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.26 apply (zenon_L362_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.26 apply (zenon_L363_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.26 apply (zenon_L364_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.26 apply (zenon_L365_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.26 apply (zenon_L366_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.26 apply (zenon_L331_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.26 apply (zenon_L624_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.26 apply (zenon_L247_); trivial.
% 43.06/43.26 apply (zenon_L371_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.26 apply (zenon_L373_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.26 apply (zenon_L374_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.26 apply (zenon_L375_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.26 apply (zenon_L376_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.26 apply (zenon_L378_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.26 apply (zenon_L379_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.26 apply (zenon_L380_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.26 apply (zenon_L381_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.26 apply (zenon_L382_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.26 apply (zenon_L383_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.26 apply (zenon_L384_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.26 apply (zenon_L623_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.26 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.26 apply (zenon_L623_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.26 apply (zenon_L401_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.26 apply (zenon_L402_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.26 apply (zenon_L403_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.26 apply (zenon_L404_); trivial.
% 43.06/43.26 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.26 apply (zenon_L405_); trivial.
% 43.06/43.26 apply (zenon_L406_); trivial.
% 43.06/43.26 (* end of lemma zenon_L629_ *)
% 43.06/43.26 assert (zenon_L630_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (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)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H59a zenon_H271 zenon_H285 zenon_H290 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H274 zenon_H2c5 zenon_H2a2 zenon_H30a zenon_H297 zenon_H294 zenon_H273 zenon_H27b zenon_H287 zenon_H39a zenon_H2b2 zenon_H3a5 zenon_H337 zenon_H395 zenon_H2de zenon_H29e zenon_H2ae zenon_H383 zenon_H2f4 zenon_H37f zenon_H3da zenon_H36e zenon_H36a zenon_H301 zenon_H342 zenon_H331 zenon_H340 zenon_H391 zenon_H39b zenon_H2d2 zenon_H30b zenon_H2d6 zenon_H2da zenon_H2cb zenon_H524 zenon_Hbf zenon_H12c.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 43.06/43.27 apply (zenon_L66_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 43.06/43.27 apply (zenon_L14_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 43.06/43.27 apply (zenon_L629_); trivial.
% 43.06/43.27 apply (zenon_L67_); trivial.
% 43.06/43.27 (* end of lemma zenon_L630_ *)
% 43.06/43.27 assert (zenon_L631_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e20) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (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)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((e20) = (e23))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H130 zenon_H11f zenon_H2f zenon_H30 zenon_H125 zenon_H131 zenon_H83 zenon_Hba zenon_H4c zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H59a zenon_H271 zenon_H285 zenon_H290 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H274 zenon_H2c5 zenon_H2a2 zenon_H30a zenon_H297 zenon_H294 zenon_H273 zenon_H27b zenon_H287 zenon_H39a zenon_H2b2 zenon_H3a5 zenon_H337 zenon_H395 zenon_H2de zenon_H29e zenon_H2ae zenon_H383 zenon_H2f4 zenon_H37f zenon_H3da zenon_H36e zenon_H36a zenon_H301 zenon_H342 zenon_H331 zenon_H340 zenon_H391 zenon_H39b zenon_H2d2 zenon_H30b zenon_H2d6 zenon_H2da zenon_H2cb zenon_H524 zenon_H12c.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 43.06/43.27 apply (zenon_L64_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 43.06/43.27 apply (zenon_L8_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 43.06/43.27 apply (zenon_L65_); trivial.
% 43.06/43.27 apply (zenon_L630_); trivial.
% 43.06/43.27 (* end of lemma zenon_L631_ *)
% 43.06/43.27 assert (zenon_L632_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 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(e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 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(e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (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) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (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 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H10d zenon_H12c zenon_H524 zenon_H2cb zenon_H2da zenon_H2d6 zenon_H30b zenon_H2d2 zenon_H39b zenon_H391 zenon_H340 zenon_H331 zenon_H342 zenon_H301 zenon_H36a zenon_H36e zenon_H3da zenon_H37f zenon_H2f4 zenon_H383 zenon_H2ae zenon_H29e zenon_H2de zenon_H395 zenon_H337 zenon_H3a5 zenon_H2b2 zenon_H39a zenon_H287 zenon_H27b zenon_H273 zenon_H294 zenon_H297 zenon_H30a zenon_H2a2 zenon_H2c5 zenon_H274 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H290 zenon_H285 zenon_H271 zenon_H59a zenon_H4c9 zenon_H4b9 zenon_H131 zenon_H125 zenon_H11f zenon_H130 zenon_H9d zenon_H92 zenon_H8c zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_Hef zenon_H43 zenon_Hba zenon_H84 zenon_Hf3 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.27 apply (zenon_L631_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.27 apply (zenon_L17_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.27 apply (zenon_L30_); trivial.
% 43.06/43.27 apply (zenon_L57_); trivial.
% 43.06/43.27 (* end of lemma zenon_L632_ *)
% 43.06/43.27 assert (zenon_L633_ : (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((e20) = (e22))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e22)) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (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 (e22) (e21)) = (op2 (e23) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (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)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((e20) = (e23))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H130 zenon_H11f zenon_H125 zenon_H152 zenon_H150 zenon_H24 zenon_Hef zenon_Heb zenon_H30 zenon_H2f zenon_Hc0 zenon_Hd5 zenon_H6a zenon_H5e zenon_H5a zenon_Hc9 zenon_Hd9 zenon_H95 zenon_H8d zenon_Hdd zenon_He9 zenon_H65 zenon_He4 zenon_H43 zenon_Hb0 zenon_Hf3 zenon_H131 zenon_Hba zenon_H4c zenon_H4b9 zenon_H41 zenon_H4c9 zenon_H2d zenon_H59a zenon_H271 zenon_H285 zenon_H290 zenon_H305 zenon_H2f7 zenon_H2fd zenon_H274 zenon_H2c5 zenon_H2a2 zenon_H30a zenon_H297 zenon_H294 zenon_H273 zenon_H27b zenon_H287 zenon_H39a zenon_H2b2 zenon_H3a5 zenon_H337 zenon_H395 zenon_H2de zenon_H29e zenon_H2ae zenon_H383 zenon_H2f4 zenon_H37f zenon_H3da zenon_H36e zenon_H36a zenon_H301 zenon_H342 zenon_H331 zenon_H340 zenon_H391 zenon_H39b zenon_H2d2 zenon_H30b zenon_H2d6 zenon_H2da zenon_H2cb zenon_H524 zenon_H12c.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 43.06/43.27 apply (zenon_L64_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 43.06/43.27 apply (zenon_L8_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 43.06/43.27 apply (zenon_L65_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H14 | zenon_intro zenon_H153 ].
% 43.06/43.27 apply (zenon_L75_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H26 | zenon_intro zenon_H154 ].
% 43.06/43.27 exact (zenon_H24 zenon_H26).
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ].
% 43.06/43.27 apply (zenon_L50_); trivial.
% 43.06/43.27 apply (zenon_L630_); trivial.
% 43.06/43.27 (* end of lemma zenon_L633_ *)
% 43.06/43.27 assert (zenon_L634_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e23))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (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) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (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 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (op2 (e22) (e23))) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H10d zenon_H12c zenon_H524 zenon_H2cb zenon_H2da zenon_H2d6 zenon_H30b zenon_H2d2 zenon_H39b zenon_H391 zenon_H340 zenon_H331 zenon_H342 zenon_H301 zenon_H36a zenon_H36e zenon_H3da zenon_H37f zenon_H2f4 zenon_H383 zenon_H2ae zenon_H29e zenon_H2de zenon_H395 zenon_H337 zenon_H3a5 zenon_H2b2 zenon_H39a zenon_H287 zenon_H27b zenon_H273 zenon_H294 zenon_H297 zenon_H30a zenon_H2a2 zenon_H2c5 zenon_H274 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H290 zenon_H285 zenon_H271 zenon_H59a zenon_H4c9 zenon_H4b9 zenon_Hba zenon_H131 zenon_H125 zenon_H11f zenon_H130 zenon_H9d zenon_H92 zenon_H8c zenon_Ha1 zenon_H30 zenon_H86 zenon_H8d zenon_H106 zenon_H5a zenon_H22 zenon_H100 zenon_H155 zenon_Hfa zenon_H101 zenon_Hf6 zenon_Ha4 zenon_Haa zenon_Heb zenon_H2f zenon_Hd5 zenon_H6a zenon_H5e zenon_Hc9 zenon_Hd9 zenon_H95 zenon_Hdd zenon_He9 zenon_H10a zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.27 apply (zenon_L631_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.27 apply (zenon_L17_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.27 apply (zenon_L30_); trivial.
% 43.06/43.27 apply (zenon_L84_); trivial.
% 43.06/43.27 (* end of lemma zenon_L634_ *)
% 43.06/43.27 assert (zenon_L635_ : (((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) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (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) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (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 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (op2 (e21) (e23))) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H10d zenon_H524 zenon_H2cb zenon_H2da zenon_H2d6 zenon_H30b zenon_H2d2 zenon_H39b zenon_H391 zenon_H340 zenon_H331 zenon_H342 zenon_H301 zenon_H36a zenon_H36e zenon_H3da zenon_H37f zenon_H2f4 zenon_H383 zenon_H2ae zenon_H29e zenon_H2de zenon_H395 zenon_H337 zenon_H3a5 zenon_H2b2 zenon_H39a zenon_H287 zenon_H27b zenon_H273 zenon_H294 zenon_H297 zenon_H30a zenon_H2a2 zenon_H2c5 zenon_H274 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H290 zenon_H285 zenon_H271 zenon_H59a zenon_H4c9 zenon_H4b9 zenon_Hba zenon_H131 zenon_H125 zenon_H2f zenon_H11f zenon_H130 zenon_H12c zenon_Hc8 zenon_H6a zenon_H5a zenon_H1b0 zenon_H7e zenon_H1ab zenon_H5e zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.27 apply (zenon_L631_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.27 apply (zenon_L17_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.27 apply (zenon_L103_); trivial.
% 43.06/43.27 apply (zenon_L106_); trivial.
% 43.06/43.27 (* end of lemma zenon_L635_ *)
% 43.06/43.27 assert (zenon_L636_ : (((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) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (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) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e12)) = (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 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e23)) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H10d zenon_H524 zenon_H2cb zenon_H2da zenon_H2d6 zenon_H30b zenon_H2d2 zenon_H39b zenon_H391 zenon_H340 zenon_H331 zenon_H342 zenon_H301 zenon_H36a zenon_H36e zenon_H3da zenon_H37f zenon_H2f4 zenon_H383 zenon_H2ae zenon_H29e zenon_H2de zenon_H395 zenon_H337 zenon_H3a5 zenon_H2b2 zenon_H39a zenon_H287 zenon_H27b zenon_H273 zenon_H294 zenon_H297 zenon_H30a zenon_H2a2 zenon_H2c5 zenon_H274 zenon_H2fd zenon_H2f7 zenon_H305 zenon_H290 zenon_H285 zenon_H271 zenon_H59a zenon_H4c9 zenon_H4b9 zenon_Hba zenon_H131 zenon_H125 zenon_H2f zenon_H11f zenon_H130 zenon_H12c zenon_Hc8 zenon_H6a zenon_H5a zenon_H5e zenon_H1b0 zenon_H1ab zenon_H1c1 zenon_Haa zenon_H30 zenon_H1af zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.27 apply (zenon_L631_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.27 apply (zenon_L17_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.27 apply (zenon_L103_); trivial.
% 43.06/43.27 apply (zenon_L119_); trivial.
% 43.06/43.27 (* end of lemma zenon_L636_ *)
% 43.06/43.27 assert (zenon_L637_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H188 zenon_H64 zenon_Ha4.
% 43.06/43.27 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H189 | zenon_intro zenon_H18a ].
% 43.06/43.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 43.06/43.27 intro zenon_D_pnotp.
% 43.06/43.27 apply zenon_Ha4.
% 43.06/43.27 rewrite <- zenon_D_pnotp.
% 43.06/43.27 exact zenon_H189.
% 43.06/43.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 43.06/43.27 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H5a0].
% 43.06/43.27 congruence.
% 43.06/43.27 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))).
% 43.06/43.27 intro zenon_D_pnotp.
% 43.06/43.27 apply zenon_H5a0.
% 43.06/43.27 rewrite <- zenon_D_pnotp.
% 43.06/43.27 exact zenon_H188.
% 43.06/43.27 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H69].
% 43.06/43.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 43.06/43.27 congruence.
% 43.06/43.27 apply zenon_H18a. apply refl_equal.
% 43.06/43.27 apply zenon_H69. apply sym_equal. exact zenon_H64.
% 43.06/43.27 apply zenon_H18a. apply refl_equal.
% 43.06/43.27 apply zenon_H18a. apply refl_equal.
% 43.06/43.27 (* end of lemma zenon_L637_ *)
% 43.06/43.27 assert (zenon_L638_ : ((op2 (e23) (e23)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H188 zenon_H1a1 zenon_Haa.
% 43.06/43.27 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H189 | zenon_intro zenon_H18a ].
% 43.06/43.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 43.06/43.27 intro zenon_D_pnotp.
% 43.06/43.27 apply zenon_Haa.
% 43.06/43.27 rewrite <- zenon_D_pnotp.
% 43.06/43.27 exact zenon_H189.
% 43.06/43.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 43.06/43.27 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H5a1].
% 43.06/43.27 congruence.
% 43.06/43.27 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))).
% 43.06/43.27 intro zenon_D_pnotp.
% 43.06/43.27 apply zenon_H5a1.
% 43.06/43.27 rewrite <- zenon_D_pnotp.
% 43.06/43.27 exact zenon_H188.
% 43.06/43.27 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 43.06/43.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 43.06/43.27 congruence.
% 43.06/43.27 apply zenon_H18a. apply refl_equal.
% 43.06/43.27 apply zenon_H1a4. apply sym_equal. exact zenon_H1a1.
% 43.06/43.27 apply zenon_H18a. apply refl_equal.
% 43.06/43.27 apply zenon_H18a. apply refl_equal.
% 43.06/43.27 (* end of lemma zenon_L638_ *)
% 43.06/43.27 assert (zenon_L639_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H1af zenon_H30 zenon_Haa zenon_H188 zenon_H1ab zenon_H2d zenon_H65 zenon_He4 zenon_H41 zenon_H1b0.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hab | zenon_intro zenon_H1b1 ].
% 43.06/43.27 apply (zenon_L32_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1b2 ].
% 43.06/43.27 apply (zenon_L638_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b3 ].
% 43.06/43.27 apply (zenon_L104_); trivial.
% 43.06/43.27 apply (zenon_L117_); trivial.
% 43.06/43.27 (* end of lemma zenon_L639_ *)
% 43.06/43.27 assert (zenon_L640_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e22)) = (e22)) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e21)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H5a2 zenon_Ha4 zenon_He9 zenon_Hb0 zenon_H1af zenon_H30 zenon_Haa zenon_H188 zenon_H1ab zenon_H2d zenon_H65 zenon_H41 zenon_H1b0.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H5a2); [ zenon_intro zenon_Ha5 | zenon_intro zenon_H5a3 ].
% 43.06/43.27 apply (zenon_L31_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H5a3); [ zenon_intro zenon_H64 | zenon_intro zenon_H5a4 ].
% 43.06/43.27 apply (zenon_L637_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H5a4); [ zenon_intro zenon_H155 | zenon_intro zenon_He4 ].
% 43.06/43.27 apply (zenon_L77_); trivial.
% 43.06/43.27 apply (zenon_L639_); trivial.
% 43.06/43.27 (* end of lemma zenon_L640_ *)
% 43.06/43.27 assert (zenon_L641_ : (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H100 zenon_H1b0 zenon_H65 zenon_H1ab zenon_H188 zenon_Haa zenon_H30 zenon_H1af zenon_He9 zenon_Ha4 zenon_H5a2 zenon_Hfa zenon_Hef zenon_H105 zenon_H131 zenon_H1e8 zenon_H4c zenon_H41 zenon_H2d zenon_H82 zenon_Hbf zenon_H12c.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H102 ].
% 43.06/43.27 apply (zenon_L640_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H103 ].
% 43.06/43.27 apply (zenon_L52_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H104 | zenon_intro zenon_Hdc ].
% 43.06/43.27 apply (zenon_L141_); trivial.
% 43.06/43.27 apply (zenon_L139_); trivial.
% 43.06/43.27 (* end of lemma zenon_L641_ *)
% 43.06/43.27 assert (zenon_L642_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e20) (e23)) = (e21))\/(((op2 (e20) (e23)) = (e22))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (e23))) -> (~((e22) = (e23))) -> ((op2 (e23) (e23)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e21) (op2 (e21) (e22))) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e23)) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H6a zenon_H5a zenon_H5e zenon_H30 zenon_H125 zenon_H100 zenon_H1b0 zenon_H1ab zenon_H188 zenon_Haa zenon_H1af zenon_He9 zenon_Ha4 zenon_H5a2 zenon_Hfa zenon_Hef zenon_H131 zenon_H1e8 zenon_H82 zenon_Hbf zenon_H12c zenon_Hf3 zenon_H7c zenon_H1ec zenon_H43 zenon_H94 zenon_H217 zenon_H2d zenon_H41 zenon_H4c.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 43.06/43.27 apply (zenon_L17_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 43.06/43.27 apply (zenon_L18_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.27 apply (zenon_L103_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.27 apply (zenon_L145_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.27 apply (zenon_L641_); trivial.
% 43.06/43.27 apply (zenon_L65_); trivial.
% 43.06/43.27 apply (zenon_L14_); trivial.
% 43.06/43.27 (* end of lemma zenon_L642_ *)
% 43.06/43.27 assert (zenon_L643_ : (((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) (e23)) = (e20)))\/((op2 (e20) (e20)) = (e23)))/\(((~((op2 (e21) (e23)) = (e21)))\/((op2 (e21) (e21)) = (e23)))/\(((~((op2 (e22) (e23)) = (e22)))\/((op2 (e22) (e22)) = (e23)))/\((~((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) (e23)) = (e20)) -> (~((e20) = (e23))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e12))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((((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) (e10)) = (e11)))\/((op1 (e11) (e11)) = (e10)))/\(((~((op1 (e12) (e10)) = (e12)))\/((op1 (e12) (e12)) = (e10)))/\((~((op1 (e13) (e10)) = (e13)))\/((op1 (e13) (e13)) = (e10))))))))))\/((((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) (e11)) = (e10)))\/((op1 (e10) (e10)) = (e11)))/\(((~((op1 (e11) (e11)) = (e11)))\/((op1 (e11) (e11)) = (e11)))/\(((~((op1 (e12) (e11)) = (e12)))\/((op1 (e12) (e12)) = (e11)))/\((~((op1 (e13) (e11)) = (e13)))\/((op1 (e13) (e13)) = (e11))))))))))\/((((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) (e12)) = (e10)))\/((op1 (e10) (e10)) = (e12)))/\(((~((op1 (e11) (e12)) = (e11)))\/((op1 (e11) (e11)) = (e12)))/\(((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12)))/\((~((op1 (e13) (e12)) = (e13)))\/((op1 (e13) (e13)) = (e12))))))))))\/(((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) (e13)) = (e10)))\/((op1 (e10) (e10)) = (e13)))/\(((~((op1 (e11) (e13)) = (e11)))\/((op1 (e11) (e11)) = (e13)))/\(((~((op1 (e12) (e13)) = (e12)))\/((op1 (e12) (e12)) = (e13)))/\((~((op1 (e13) (e13)) = (e13)))\/((op1 (e13) (e13)) = (e13))))))))))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e12) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((e11) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e10) (e10)) = (e10))/\((~((op1 (e10) (e10)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e10) (e11)) = (e10))/\((~((op1 (e10) (e10)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e10) (e12)) = (e10))/\((~((op1 (e10) (e10)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e10) (e13)) = (e10))/\((~((op1 (e10) (e10)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e11) (e10)) = (e11))/\((~((op1 (e11) (e11)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e11) (e11)) = (e11))/\((~((op1 (e11) (e11)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e11) (e12)) = (e11))/\((~((op1 (e11) (e11)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/((((op1 (e11) (e13)) = (e11))/\((~((op1 (e11) (e11)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e12) (e10)) = (e12))/\((~((op1 (e12) (e12)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e12) (e11)) = (e12))/\((~((op1 (e12) (e12)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e12) (e12)) = (e12))/\((~((op1 (e12) (e12)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e12) (e13)) = (e12))/\((~((op1 (e12) (e12)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (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 (e10) (e10)) = (e10))/\(~((op1 (e10) (e10)) = (e10))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e11) (e11)) = (e10))/\(~((op1 (e11) (e10)) = (e11))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e12) (e12)) = (e10))/\(~((op1 (e12) (e10)) = (e12))))))\/((((op1 (e13) (e10)) = (e13))/\((~((op1 (e13) (e13)) = (e10)))/\(((op1 (e13) (e13)) = (e10))/\(~((op1 (e13) (e10)) = (e13))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e10) (e10)) = (e11))/\(~((op1 (e10) (e11)) = (e10))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e11) (e11)) = (e11))/\(~((op1 (e11) (e11)) = (e11))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e12) (e12)) = (e11))/\(~((op1 (e12) (e11)) = (e12))))))\/((((op1 (e13) (e11)) = (e13))/\((~((op1 (e13) (e13)) = (e11)))/\(((op1 (e13) (e13)) = (e11))/\(~((op1 (e13) (e11)) = (e13))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e10) (e10)) = (e12))/\(~((op1 (e10) (e12)) = (e10))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e11) (e11)) = (e12))/\(~((op1 (e11) (e12)) = (e11))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e12) (e12)) = (e12))/\(~((op1 (e12) (e12)) = (e12))))))\/((((op1 (e13) (e12)) = (e13))/\((~((op1 (e13) (e13)) = (e12)))/\(((op1 (e13) (e13)) = (e12))/\(~((op1 (e13) (e12)) = (e13))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e10) (e10)) = (e13))/\(~((op1 (e10) (e13)) = (e10))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e11) (e11)) = (e13))/\(~((op1 (e11) (e13)) = (e11))))))\/((((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e12) (e12)) = (e13))/\(~((op1 (e12) (e13)) = (e12))))))\/(((op1 (e13) (e13)) = (e13))/\((~((op1 (e13) (e13)) = (e13)))/\(((op1 (e13) (e13)) = (e13))/\(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H15c zenon_H131 zenon_Hbf zenon_H12c zenon_H294 zenon_H290 zenon_H285 zenon_H287 zenon_H27b zenon_H271 zenon_H274 zenon_H273 zenon_H297 zenon_H2ae zenon_H2a2 zenon_H29e zenon_H2b2 zenon_H30b zenon_H2f7 zenon_H2fd zenon_H301 zenon_H305 zenon_H2f4 zenon_H2de zenon_H2c5 zenon_H2cb zenon_H2d2 zenon_H2d6 zenon_H2da zenon_H30a zenon_H342 zenon_H337 zenon_H331 zenon_H340 zenon_H3a5 zenon_H395 zenon_H4b9 zenon_H4c9 zenon_H59a zenon_H383 zenon_H391 zenon_H39b zenon_H37f zenon_H36a zenon_H36e zenon_H3da zenon_H39a zenon_H524 zenon_H41 zenon_H2d zenon_H4c zenon_Hba zenon_H6a zenon_Haa zenon_H30 zenon_H1ab zenon_H586 zenon_H1af zenon_H5e zenon_H5a zenon_Hd5 zenon_H1e8 zenon_H16e.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H168. zenon_intro zenon_H167.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H5f ].
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H83 | zenon_intro zenon_H186 ].
% 43.06/43.27 apply (zenon_L630_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H139 | zenon_intro zenon_H187 ].
% 43.06/43.27 apply (zenon_L606_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H14d | zenon_intro zenon_H129 ].
% 43.06/43.27 apply (zenon_L74_); trivial.
% 43.06/43.27 exact (zenon_H1e8 zenon_H129).
% 43.06/43.27 apply (zenon_L18_); trivial.
% 43.06/43.27 (* end of lemma zenon_L643_ *)
% 43.06/43.27 assert (zenon_L644_ : (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((op1 (e13) (e13)) = (e10)) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H5a5 zenon_H46b zenon_H303 zenon_H4c9.
% 43.06/43.27 cut (((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) = ((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))).
% 43.06/43.27 intro zenon_D_pnotp.
% 43.06/43.27 apply zenon_H5a5.
% 43.06/43.27 rewrite <- zenon_D_pnotp.
% 43.06/43.27 exact zenon_H46b.
% 43.06/43.27 cut (((op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e13)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H5a6].
% 43.06/43.27 cut (((h2 (e10)) = (h2 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H5a7].
% 43.06/43.27 congruence.
% 43.06/43.27 elim (classic ((h2 (op1 (e13) (e13))) = (h2 (op1 (e13) (e13))))); [ zenon_intro zenon_H5a8 | zenon_intro zenon_H5a9 ].
% 43.06/43.27 cut (((h2 (op1 (e13) (e13))) = (h2 (op1 (e13) (e13)))) = ((h2 (e10)) = (h2 (op1 (e13) (e13))))).
% 43.06/43.27 intro zenon_D_pnotp.
% 43.06/43.27 apply zenon_H5a7.
% 43.06/43.27 rewrite <- zenon_D_pnotp.
% 43.06/43.27 exact zenon_H5a8.
% 43.06/43.27 cut (((h2 (op1 (e13) (e13))) = (h2 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H5a9].
% 43.06/43.27 cut (((h2 (op1 (e13) (e13))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H5aa].
% 43.06/43.27 congruence.
% 43.06/43.27 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H304].
% 43.06/43.27 congruence.
% 43.06/43.27 exact (zenon_H304 zenon_H303).
% 43.06/43.27 apply zenon_H5a9. apply refl_equal.
% 43.06/43.27 apply zenon_H5a9. apply refl_equal.
% 43.06/43.27 cut (((op2 (op2 (e21) (e21)) (e21)) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5ab].
% 43.06/43.27 cut (((op2 (op2 (e21) (e21)) (e21)) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H5ab].
% 43.06/43.27 congruence.
% 43.06/43.27 apply zenon_H5ab. apply sym_equal. exact zenon_H4c9.
% 43.06/43.27 apply zenon_H5ab. apply sym_equal. exact zenon_H4c9.
% 43.06/43.27 (* end of lemma zenon_L644_ *)
% 43.06/43.27 assert (zenon_L645_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e13) = (op1 (op1 (e11) (e11)) (e11))) -> ((e10) = (op1 (op1 (op1 (e11) (e11)) (e11)) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (op2 (op2 (e21) (e21)) (e21)) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H305 zenon_H2f7 zenon_H2fd zenon_H271 zenon_H274 zenon_H2c5 zenon_H5a5 zenon_H46b zenon_H4c9.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H2f8 | zenon_intro zenon_H306 ].
% 43.06/43.27 apply (zenon_L249_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H2fe | zenon_intro zenon_H307 ].
% 43.06/43.27 apply (zenon_L250_); trivial.
% 43.06/43.27 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H303 ].
% 43.06/43.27 apply (zenon_L239_); trivial.
% 43.06/43.27 apply (zenon_L644_); trivial.
% 43.06/43.27 (* end of lemma zenon_L645_ *)
% 43.06/43.27 assert (zenon_L646_ : (~(((h2 (e10)) = (e23))\/(((h2 (e11)) = (e23))\/(((h2 (e12)) = (e23))\/((h2 (e13)) = (e23)))))) -> ((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 43.06/43.27 do 0 intro. intros zenon_H5ac zenon_H4c9 zenon_H2d.
% 43.06/43.27 apply (zenon_notor_s _ _ zenon_H5ac). zenon_intro zenon_H5ae. zenon_intro zenon_H5ad.
% 43.06/43.27 apply (zenon_notor_s _ _ zenon_H5ad). zenon_intro zenon_H5b0. zenon_intro zenon_H5af.
% 43.06/43.27 apply (zenon_notor_s _ _ zenon_H5af). zenon_intro zenon_H5b1. zenon_intro zenon_H4c8.
% 43.06/43.27 apply (zenon_L437_); trivial.
% 43.06/43.27 (* end of lemma zenon_L646_ *)
% 43.06/43.27 apply NNPP. intro zenon_G.
% 43.06/43.27 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H5b3. zenon_intro zenon_H5b2.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5b2). zenon_intro zenon_H5b5. zenon_intro zenon_H5b4.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5b4). zenon_intro zenon_H463. zenon_intro zenon_H5b6.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5b6). zenon_intro zenon_H50d. zenon_intro zenon_H5b7.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5b7). zenon_intro zenon_H5b9. zenon_intro zenon_H5b8.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5b8). zenon_intro zenon_H5bb. zenon_intro zenon_H5ba.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5ba). zenon_intro zenon_H477. zenon_intro zenon_H5bc.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5bc). zenon_intro zenon_H395. zenon_intro zenon_H5bd.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5bd). zenon_intro zenon_H37f. zenon_intro zenon_H5be.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5be). zenon_intro zenon_H5c0. zenon_intro zenon_H5bf.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5bf). zenon_intro zenon_H43b. zenon_intro zenon_H5c1.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5c1). zenon_intro zenon_H2da. zenon_intro zenon_H5c2.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5c2). zenon_intro zenon_H5c4. zenon_intro zenon_H5c3.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5c3). zenon_intro zenon_H294. zenon_intro zenon_H5c5.
% 43.06/43.27 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H43a. zenon_intro zenon_H5c6.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5c6). zenon_intro zenon_H5c8. zenon_intro zenon_H5c7.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5c7). zenon_intro zenon_H2b2. zenon_intro zenon_H5c9.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5c9). zenon_intro zenon_H5cb. zenon_intro zenon_H5ca.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5ca). zenon_intro zenon_H418. zenon_intro zenon_H5cc.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5cc). zenon_intro zenon_H342. zenon_intro zenon_H5cd.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5cd). zenon_intro zenon_H39b. zenon_intro zenon_H5ce.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5ce). zenon_intro zenon_H5d0. zenon_intro zenon_H5cf.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5cf). zenon_intro zenon_H5d2. zenon_intro zenon_H5d1.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5d1). zenon_intro zenon_H3af. zenon_intro zenon_H5d3.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5d3). zenon_intro zenon_H3b1. zenon_intro zenon_H5d4.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5d4). zenon_intro zenon_H5d6. zenon_intro zenon_H5d5.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5d5). zenon_intro zenon_H5d8. zenon_intro zenon_H5d7.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5d7). zenon_intro zenon_H5da. zenon_intro zenon_H5d9.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5d9). zenon_intro zenon_H513. zenon_intro zenon_H5db.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5db). zenon_intro zenon_H2ae. zenon_intro zenon_H5dc.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5dc). zenon_intro zenon_H4fb. zenon_intro zenon_H5dd.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5dd). zenon_intro zenon_H4e1. zenon_intro zenon_H5de.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5de). zenon_intro zenon_H5e0. zenon_intro zenon_H5df.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5df). zenon_intro zenon_H4de. zenon_intro zenon_H5e1.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5e1). zenon_intro zenon_H570. zenon_intro zenon_H5e2.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5e2). zenon_intro zenon_H464. zenon_intro zenon_H5e3.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5e3). zenon_intro zenon_H5e5. zenon_intro zenon_H5e4.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5e4). zenon_intro zenon_H514. zenon_intro zenon_H5e6.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5e6). zenon_intro zenon_H3b0. zenon_intro zenon_H5e7.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5e7). zenon_intro zenon_H305. zenon_intro zenon_H5e8.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5e8). zenon_intro zenon_H5ea. zenon_intro zenon_H5e9.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5e9). zenon_intro zenon_H5ec. zenon_intro zenon_H5eb.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5eb). zenon_intro zenon_H378. zenon_intro zenon_H5ed.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5ed). zenon_intro zenon_H30b. zenon_intro zenon_H5ee.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5ee). zenon_intro zenon_H3a5. zenon_intro zenon_H510.
% 43.06/43.27 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H152. zenon_intro zenon_H5ef.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5ef). zenon_intro zenon_H5f1. zenon_intro zenon_H5f0.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5f0). zenon_intro zenon_Heb. zenon_intro zenon_H5f2.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5f2). zenon_intro zenon_H5a2. zenon_intro zenon_H5f3.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5f3). zenon_intro zenon_H5f5. zenon_intro zenon_H5f4.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5f4). zenon_intro zenon_H5f7. zenon_intro zenon_H5f6.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5f6). zenon_intro zenon_H488. zenon_intro zenon_H5f8.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5f8). zenon_intro zenon_H1af. zenon_intro zenon_H5f9.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5f9). zenon_intro zenon_H19e. zenon_intro zenon_H5fa.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5fa). zenon_intro zenon_H5fc. zenon_intro zenon_H5fb.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5fb). zenon_intro zenon_H235. zenon_intro zenon_H5fd.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5fd). zenon_intro zenon_Ha1. zenon_intro zenon_H5fe.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5fe). zenon_intro zenon_H600. zenon_intro zenon_H5ff.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H5ff). zenon_intro zenon_H50. zenon_intro zenon_H601.
% 43.06/43.27 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H1f5. zenon_intro zenon_H602.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H602). zenon_intro zenon_H604. zenon_intro zenon_H603.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H603). zenon_intro zenon_H6e. zenon_intro zenon_H605.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H605). zenon_intro zenon_H607. zenon_intro zenon_H606.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H606). zenon_intro zenon_H16f. zenon_intro zenon_H608.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H608). zenon_intro zenon_H16d. zenon_intro zenon_H609.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H609). zenon_intro zenon_H10d. zenon_intro zenon_H60a.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H60a). zenon_intro zenon_H16e. zenon_intro zenon_H60b.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H60b). zenon_intro zenon_H1f1. zenon_intro zenon_H60c.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H60c). zenon_intro zenon_Hd9. zenon_intro zenon_H60d.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H60d). zenon_intro zenon_H1a5. zenon_intro zenon_H60e.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H60e). zenon_intro zenon_H610. zenon_intro zenon_H60f.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H60f). zenon_intro zenon_H612. zenon_intro zenon_H611.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H611). zenon_intro zenon_H614. zenon_intro zenon_H613.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H613). zenon_intro zenon_H616. zenon_intro zenon_H615.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H615). zenon_intro zenon_H6a. zenon_intro zenon_H617.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H617). zenon_intro zenon_H10a. zenon_intro zenon_H618.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H618). zenon_intro zenon_H217. zenon_intro zenon_H619.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H619). zenon_intro zenon_H61b. zenon_intro zenon_H61a.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H61a). zenon_intro zenon_H4b5. zenon_intro zenon_H61c.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H61c). zenon_intro zenon_H147. zenon_intro zenon_H61d.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H61d). zenon_intro zenon_H100. zenon_intro zenon_H61e.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H61e). zenon_intro zenon_H620. zenon_intro zenon_H61f.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H61f). zenon_intro zenon_H145. zenon_intro zenon_H621.
% 43.06/43.27 apply (zenon_and_s _ _ zenon_H621). zenon_intro zenon_H130. zenon_intro zenon_H622.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H622). zenon_intro zenon_Hf6. zenon_intro zenon_H623.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H623). zenon_intro zenon_H625. zenon_intro zenon_H624.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H624). zenon_intro zenon_H627. zenon_intro zenon_H626.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H626). zenon_intro zenon_Hf3. zenon_intro zenon_H628.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H628). zenon_intro zenon_H575. zenon_intro zenon_H629.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H629). zenon_intro zenon_H131. zenon_intro zenon_H62a.
% 43.06/43.28 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H62c. zenon_intro zenon_H62b.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H62b). zenon_intro zenon_H62e. zenon_intro zenon_H62d.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H62d). zenon_intro zenon_H337. zenon_intro zenon_H62f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H62f). zenon_intro zenon_H36e. zenon_intro zenon_H630.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H630). zenon_intro zenon_H46e. zenon_intro zenon_H631.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H631). zenon_intro zenon_H372. zenon_intro zenon_H632.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H632). zenon_intro zenon_H297. zenon_intro zenon_H633.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H633). zenon_intro zenon_H29e. zenon_intro zenon_H634.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H634). zenon_intro zenon_H27b. zenon_intro zenon_H635.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H635). zenon_intro zenon_H2a2. zenon_intro zenon_H636.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H636). zenon_intro zenon_H287. zenon_intro zenon_H637.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H637). zenon_intro zenon_H290. zenon_intro zenon_H638.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H638). zenon_intro zenon_H63a. zenon_intro zenon_H639.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H639). zenon_intro zenon_H340. zenon_intro zenon_H63b.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H63b). zenon_intro zenon_H3e0. zenon_intro zenon_H63c.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H63c). zenon_intro zenon_H432. zenon_intro zenon_H63d.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H63d). zenon_intro zenon_H474. zenon_intro zenon_H63e.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H63e). zenon_intro zenon_H640. zenon_intro zenon_H63f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H63f). zenon_intro zenon_H391. zenon_intro zenon_H641.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H641). zenon_intro zenon_H2d2. zenon_intro zenon_H642.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H642). zenon_intro zenon_H2f7. zenon_intro zenon_H643.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H643). zenon_intro zenon_H3fb. zenon_intro zenon_H644.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H644). zenon_intro zenon_H2fd. zenon_intro zenon_H645.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H645). zenon_intro zenon_H2c5. zenon_intro zenon_H646.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H646). zenon_intro zenon_H4a5. zenon_intro zenon_H647.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H647). zenon_intro zenon_H506. zenon_intro zenon_H648.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H648). zenon_intro zenon_H64a. zenon_intro zenon_H649.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H649). zenon_intro zenon_H64c. zenon_intro zenon_H64b.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H64b). zenon_intro zenon_H64e. zenon_intro zenon_H64d.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H64d). zenon_intro zenon_H650. zenon_intro zenon_H64f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H64f). zenon_intro zenon_H331. zenon_intro zenon_H651.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H651). zenon_intro zenon_H50a. zenon_intro zenon_H652.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H652). zenon_intro zenon_H654. zenon_intro zenon_H653.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H653). zenon_intro zenon_H45b. zenon_intro zenon_H655.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H655). zenon_intro zenon_H2de. zenon_intro zenon_H656.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H656). zenon_intro zenon_H658. zenon_intro zenon_H657.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H657). zenon_intro zenon_H36a. zenon_intro zenon_H659.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H659). zenon_intro zenon_H3da. zenon_intro zenon_H65a.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H65a). zenon_intro zenon_H65c. zenon_intro zenon_H65b.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H65b). zenon_intro zenon_H2f4. zenon_intro zenon_H65d.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H65d). zenon_intro zenon_H2d6. zenon_intro zenon_H65e.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H65e). zenon_intro zenon_H2cb. zenon_intro zenon_H65f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H65f). zenon_intro zenon_H661. zenon_intro zenon_H660.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H660). zenon_intro zenon_H3a0. zenon_intro zenon_H662.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H662). zenon_intro zenon_H354. zenon_intro zenon_H663.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H663). zenon_intro zenon_H460. zenon_intro zenon_H664.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H664). zenon_intro zenon_H273. zenon_intro zenon_H35a.
% 43.06/43.28 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H666. zenon_intro zenon_H665.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H665). zenon_intro zenon_H150. zenon_intro zenon_H667.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H667). zenon_intro zenon_Hba. zenon_intro zenon_H668.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H668). zenon_intro zenon_H19a. zenon_intro zenon_H669.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H669). zenon_intro zenon_H1ec. zenon_intro zenon_H66a.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H66a). zenon_intro zenon_H119. zenon_intro zenon_H66b.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H66b). zenon_intro zenon_H53. zenon_intro zenon_H66c.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H66c). zenon_intro zenon_H5a. zenon_intro zenon_H66d.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H66d). zenon_intro zenon_H37. zenon_intro zenon_H66e.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H66e). zenon_intro zenon_H5e. zenon_intro zenon_H66f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H66f). zenon_intro zenon_H43. zenon_intro zenon_H670.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H670). zenon_intro zenon_H4c. zenon_intro zenon_H671.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H671). zenon_intro zenon_H673. zenon_intro zenon_H672.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H672). zenon_intro zenon_H95. zenon_intro zenon_H674.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H674). zenon_intro zenon_Hdd. zenon_intro zenon_H675.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H675). zenon_intro zenon_H22d. zenon_intro zenon_H676.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H676). zenon_intro zenon_H487. zenon_intro zenon_H677.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H677). zenon_intro zenon_H679. zenon_intro zenon_H678.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H678). zenon_intro zenon_H1b0. zenon_intro zenon_H67a.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H67a). zenon_intro zenon_H232. zenon_intro zenon_H67b.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H67b). zenon_intro zenon_Ha4. zenon_intro zenon_H67c.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H67c). zenon_intro zenon_H67e. zenon_intro zenon_H67d.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H67d). zenon_intro zenon_Haa. zenon_intro zenon_H67f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H67f). zenon_intro zenon_H86. zenon_intro zenon_H680.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H680). zenon_intro zenon_H4ad. zenon_intro zenon_H681.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H681). zenon_intro zenon_H683. zenon_intro zenon_H682.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H682). zenon_intro zenon_H685. zenon_intro zenon_H684.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H684). zenon_intro zenon_Hc9. zenon_intro zenon_H686.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H686). zenon_intro zenon_H688. zenon_intro zenon_H687.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H687). zenon_intro zenon_He9. zenon_intro zenon_H689.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H689). zenon_intro zenon_H113. zenon_intro zenon_H68a.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H68a). zenon_intro zenon_H13c. zenon_intro zenon_H68b.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H68b). zenon_intro zenon_H586. zenon_intro zenon_H68c.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H68c). zenon_intro zenon_Hfa. zenon_intro zenon_H68d.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H68d). zenon_intro zenon_H1ab. zenon_intro zenon_H68e.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H68e). zenon_intro zenon_H690. zenon_intro zenon_H68f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H68f). zenon_intro zenon_Hd5. zenon_intro zenon_H691.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H691). zenon_intro zenon_H1e2. zenon_intro zenon_H692.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H692). zenon_intro zenon_H694. zenon_intro zenon_H693.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H693). zenon_intro zenon_H141. zenon_intro zenon_H695.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H695). zenon_intro zenon_H9d. zenon_intro zenon_H696.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H696). zenon_intro zenon_H8c. zenon_intro zenon_H697.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H697). zenon_intro zenon_H699. zenon_intro zenon_H698.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H698). zenon_intro zenon_H1bb. zenon_intro zenon_H69a.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H69a). zenon_intro zenon_H11f. zenon_intro zenon_H69b.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H69b). zenon_intro zenon_H252. zenon_intro zenon_H69c.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H69c). zenon_intro zenon_H2f. zenon_intro zenon_H125.
% 43.06/43.28 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H4d9. zenon_intro zenon_H69d.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H69d). zenon_intro zenon_H301. zenon_intro zenon_H69e.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H69e). zenon_intro zenon_H383. zenon_intro zenon_H69f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H69f). zenon_intro zenon_H6a1. zenon_intro zenon_H6a0.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6a0). zenon_intro zenon_H39a. zenon_intro zenon_H374.
% 43.06/43.28 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H106. zenon_intro zenon_H6a2.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6a2). zenon_intro zenon_Hef. zenon_intro zenon_H6a3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6a3). zenon_intro zenon_H12c. zenon_intro zenon_H6a4.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6a4). zenon_intro zenon_H159. zenon_intro zenon_H6a5.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6a5). zenon_intro zenon_H1ba. zenon_intro zenon_H82.
% 43.06/43.28 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H524. zenon_intro zenon_H30a.
% 43.06/43.28 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H6a6. zenon_intro zenon_H16c.
% 43.06/43.28 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H274. zenon_intro zenon_H6a7.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6a7). zenon_intro zenon_H285. zenon_intro zenon_H271.
% 43.06/43.28 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H30. zenon_intro zenon_H6a8.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6a8). zenon_intro zenon_H41. zenon_intro zenon_H2d.
% 43.06/43.28 apply (zenon_and_s _ _ ax15). zenon_intro zenon_H497. zenon_intro zenon_H6a9.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6a9). zenon_intro zenon_H46b. zenon_intro zenon_H6aa.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6aa). zenon_intro zenon_H4b9. zenon_intro zenon_H4c9.
% 43.06/43.28 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H6ac. zenon_intro zenon_H6ab.
% 43.06/43.28 apply (zenon_notor_s _ _ zenon_H6ab). zenon_intro zenon_H6ae. zenon_intro zenon_H6ad.
% 43.06/43.28 apply (zenon_notand_s _ _ zenon_H6ae); [ zenon_intro zenon_H6b0 | zenon_intro zenon_H6af ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.28 apply (zenon_L1_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.28 apply (zenon_L2_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.28 apply (zenon_L3_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.28 apply (zenon_L4_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.28 apply (zenon_L5_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.28 apply (zenon_L6_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.28 apply (zenon_L88_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.28 apply (zenon_L91_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.28 apply (zenon_L92_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.28 apply (zenon_L122_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.28 apply (zenon_L123_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.28 apply (zenon_L124_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.28 apply (zenon_L125_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.28 apply (zenon_L126_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.28 apply (zenon_L127_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.28 apply (zenon_L128_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.28 apply (zenon_L129_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.28 apply (zenon_L130_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.28 apply (zenon_L133_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.28 apply (zenon_L160_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.28 apply (zenon_L161_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.28 apply (zenon_L162_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.28 apply (zenon_L163_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.28 apply (zenon_L164_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.28 apply (zenon_L165_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.28 apply (zenon_L166_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.28 apply (zenon_L167_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.28 apply (zenon_L168_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.28 apply (zenon_L173_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.28 apply (zenon_L174_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.28 apply (zenon_L175_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.28 apply (zenon_L176_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.28 apply (zenon_L177_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.28 apply (zenon_L178_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.28 apply (zenon_L179_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.28 apply (zenon_L183_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.28 apply (zenon_L185_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.28 apply (zenon_L186_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.28 apply (zenon_L187_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.28 apply (zenon_L188_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.28 apply (zenon_L189_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.28 apply (zenon_L190_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.28 apply (zenon_L191_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.28 apply (zenon_L192_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.28 apply (zenon_L197_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.28 apply (zenon_L198_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.28 apply (zenon_L199_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.28 apply (zenon_L200_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.28 apply (zenon_L201_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.28 apply (zenon_L203_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.28 apply (zenon_L204_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.28 apply (zenon_L205_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.28 apply (zenon_L206_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.28 apply (zenon_L207_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.28 apply (zenon_L208_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.28 apply (zenon_L209_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.28 apply (zenon_L216_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.28 apply (zenon_L217_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.28 apply (zenon_L218_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.28 apply (zenon_L219_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.28 apply (zenon_L220_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.28 apply (zenon_L221_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.28 apply (zenon_L222_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.28 apply (zenon_L254_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.28 apply (zenon_L257_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.28 apply (zenon_L258_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.28 apply (zenon_L302_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.28 apply (zenon_L303_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.28 apply (zenon_L304_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.28 apply (zenon_L305_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.28 apply (zenon_L306_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.28 apply (zenon_L307_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.28 apply (zenon_L308_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.28 apply (zenon_L309_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.28 apply (zenon_L310_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.28 apply (zenon_L313_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.28 apply (zenon_L322_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.28 apply (zenon_L323_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.28 apply (zenon_L324_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.28 apply (zenon_L325_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.28 apply (zenon_L326_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.28 apply (zenon_L327_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.28 apply (zenon_L328_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.28 apply (zenon_L329_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.28 apply (zenon_L330_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.28 apply (zenon_L337_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.28 apply (zenon_L338_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.28 apply (zenon_L339_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.28 apply (zenon_L340_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.28 apply (zenon_L341_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.28 apply (zenon_L342_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.28 apply (zenon_L343_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.28 apply (zenon_L357_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.28 apply (zenon_L359_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.28 apply (zenon_L360_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.28 apply (zenon_L361_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.28 apply (zenon_L362_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.28 apply (zenon_L363_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.28 apply (zenon_L364_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.28 apply (zenon_L365_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.28 apply (zenon_L366_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.28 apply (zenon_L372_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.28 apply (zenon_L373_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.28 apply (zenon_L374_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.28 apply (zenon_L375_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.28 apply (zenon_L376_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.28 apply (zenon_L378_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.28 apply (zenon_L379_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.28 apply (zenon_L380_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.28 apply (zenon_L381_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.28 apply (zenon_L382_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.28 apply (zenon_L383_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.28 apply (zenon_L384_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.28 apply (zenon_L394_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H74 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H26a | zenon_intro zenon_H2b8 ].
% 43.06/43.28 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H6b0.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H497.
% 43.06/43.28 cut (((e21) = (op2 (h2 (e10)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6ed].
% 43.06/43.28 cut (((h2 (e11)) = (h2 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6ee].
% 43.06/43.28 congruence.
% 43.06/43.28 elim (classic ((h2 (op1 (e10) (e10))) = (h2 (op1 (e10) (e10))))); [ zenon_intro zenon_H6ef | zenon_intro zenon_H6f0 ].
% 43.06/43.28 cut (((h2 (op1 (e10) (e10))) = (h2 (op1 (e10) (e10)))) = ((h2 (e11)) = (h2 (op1 (e10) (e10))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H6ee.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H6ef.
% 43.06/43.28 cut (((h2 (op1 (e10) (e10))) = (h2 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6f0].
% 43.06/43.28 cut (((h2 (op1 (e10) (e10))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6f1].
% 43.06/43.28 congruence.
% 43.06/43.28 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H268].
% 43.06/43.28 congruence.
% 43.06/43.28 exact (zenon_H268 zenon_H26a).
% 43.06/43.28 apply zenon_H6f0. apply refl_equal.
% 43.06/43.28 apply zenon_H6f0. apply refl_equal.
% 43.06/43.28 elim (classic ((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10))))); [ zenon_intro zenon_H6f2 | zenon_intro zenon_H6f3 ].
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10)))) = ((e21) = (op2 (h2 (e10)) (h2 (e10))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H6ed.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H6f2.
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6f3].
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H6f4].
% 43.06/43.28 congruence.
% 43.06/43.28 cut (((op2 (e20) (e20)) = (e21)) = ((op2 (h2 (e10)) (h2 (e10))) = (e21))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H6f4.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H26.
% 43.06/43.28 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 43.06/43.28 cut (((op2 (e20) (e20)) = (op2 (h2 (e10)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6f5].
% 43.06/43.28 congruence.
% 43.06/43.28 elim (classic ((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10))))); [ zenon_intro zenon_H6f2 | zenon_intro zenon_H6f3 ].
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10)))) = ((op2 (e20) (e20)) = (op2 (h2 (e10)) (h2 (e10))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H6f5.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H6f2.
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H6f3].
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6f6].
% 43.06/43.28 congruence.
% 43.06/43.28 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 43.06/43.28 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 43.06/43.28 congruence.
% 43.06/43.28 apply (zenon_L395_); trivial.
% 43.06/43.28 apply (zenon_L395_); trivial.
% 43.06/43.28 apply zenon_H6f3. apply refl_equal.
% 43.06/43.28 apply zenon_H6f3. apply refl_equal.
% 43.06/43.28 apply zenon_H48. apply refl_equal.
% 43.06/43.28 apply zenon_H6f3. apply refl_equal.
% 43.06/43.28 apply zenon_H6f3. apply refl_equal.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H27d | zenon_intro zenon_H2b9 ].
% 43.06/43.28 apply (zenon_L231_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H299 | zenon_intro zenon_H2a8 ].
% 43.06/43.28 apply (zenon_L232_); trivial.
% 43.06/43.28 apply (zenon_L396_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H39 | zenon_intro zenon_H75 ].
% 43.06/43.28 apply (zenon_L15_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 43.06/43.28 apply (zenon_L16_); trivial.
% 43.06/43.28 apply (zenon_L20_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.28 apply (zenon_L400_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.28 apply (zenon_L391_); trivial.
% 43.06/43.28 apply (zenon_L393_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.28 apply (zenon_L401_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.28 apply (zenon_L402_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.28 apply (zenon_L403_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.28 apply (zenon_L404_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.28 apply (zenon_L405_); trivial.
% 43.06/43.28 apply (zenon_L406_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.28 apply (zenon_L410_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.28 apply (zenon_L215_); trivial.
% 43.06/43.28 apply (zenon_L158_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.28 apply (zenon_L411_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.28 apply (zenon_L412_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.28 apply (zenon_L413_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.28 apply (zenon_L414_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.28 apply (zenon_L415_); trivial.
% 43.06/43.28 apply (zenon_L416_); trivial.
% 43.06/43.28 apply (zenon_notand_s _ _ zenon_H6af); [ zenon_intro zenon_H498 | zenon_intro zenon_H6fb ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.28 apply (zenon_L1_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.28 apply (zenon_L2_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.28 apply (zenon_L3_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.28 apply (zenon_L4_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.28 apply (zenon_L5_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.28 apply (zenon_L6_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.28 apply (zenon_L88_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.28 apply (zenon_L91_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.28 apply (zenon_L92_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.28 apply (zenon_L122_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.28 apply (zenon_L123_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.28 apply (zenon_L124_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.28 apply (zenon_L125_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.28 apply (zenon_L126_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.28 apply (zenon_L127_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.28 apply (zenon_L128_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.28 apply (zenon_L129_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.28 apply (zenon_L130_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.28 apply (zenon_L133_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.28 apply (zenon_L160_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.28 apply (zenon_L161_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.28 apply (zenon_L162_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.28 apply (zenon_L163_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.28 apply (zenon_L164_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.28 apply (zenon_L165_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.28 apply (zenon_L166_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.28 apply (zenon_L167_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.28 apply (zenon_L168_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.28 apply (zenon_L173_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.28 apply (zenon_L174_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.28 apply (zenon_L175_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.28 apply (zenon_L176_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.28 apply (zenon_L177_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.28 apply (zenon_L178_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.28 apply (zenon_L179_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.28 apply (zenon_L183_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.28 apply (zenon_L185_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.28 apply (zenon_L186_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.28 apply (zenon_L187_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.28 apply (zenon_L188_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.28 apply (zenon_L189_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.28 apply (zenon_L190_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.28 apply (zenon_L191_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.28 apply (zenon_L192_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.28 apply (zenon_L197_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.28 apply (zenon_L198_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.28 apply (zenon_L199_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.28 apply (zenon_L200_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.28 apply (zenon_L201_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.28 apply (zenon_L203_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.28 apply (zenon_L204_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.28 apply (zenon_L205_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.28 apply (zenon_L206_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.28 apply (zenon_L207_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.28 apply (zenon_L208_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.28 apply (zenon_L209_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.28 apply (zenon_L216_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H195. zenon_intro zenon_H194.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H16 | zenon_intro zenon_H14 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.28 apply (zenon_L217_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.28 apply (zenon_L218_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.28 apply (zenon_L219_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.28 apply (zenon_L220_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.28 apply (zenon_L221_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.28 apply (zenon_L222_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.28 apply (zenon_L254_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.28 apply (zenon_L257_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.28 apply (zenon_L258_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.28 apply (zenon_L302_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.28 apply (zenon_L303_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.28 apply (zenon_L304_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.28 apply (zenon_L305_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.28 apply (zenon_L306_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.28 apply (zenon_L307_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.28 apply (zenon_L308_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.28 apply (zenon_L309_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.28 apply (zenon_L310_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.28 apply (zenon_L313_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.28 apply (zenon_L322_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.28 apply (zenon_L323_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.28 apply (zenon_L324_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.28 apply (zenon_L325_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.28 apply (zenon_L326_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.28 apply (zenon_L327_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.28 apply (zenon_L328_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.28 apply (zenon_L329_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.28 apply (zenon_L330_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.28 apply (zenon_L337_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.28 apply (zenon_L338_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.28 apply (zenon_L339_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.28 apply (zenon_L340_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.28 apply (zenon_L341_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.28 apply (zenon_L342_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.28 apply (zenon_L343_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.28 apply (zenon_L357_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.28 apply (zenon_L359_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.28 apply (zenon_L360_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.28 apply (zenon_L361_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.28 apply (zenon_L362_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.28 apply (zenon_L363_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.28 apply (zenon_L364_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.28 apply (zenon_L365_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.28 apply (zenon_L366_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.28 apply (zenon_L372_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.28 apply (zenon_L373_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.28 apply (zenon_L374_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.28 apply (zenon_L375_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.28 apply (zenon_L376_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.28 apply (zenon_L378_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.28 apply (zenon_L379_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.28 apply (zenon_L380_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.28 apply (zenon_L381_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.28 apply (zenon_L382_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.28 apply (zenon_L383_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.28 apply (zenon_L384_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.28 apply (zenon_L394_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H344. zenon_intro zenon_H343.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H25a | zenon_intro zenon_H258 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H14 | zenon_intro zenon_H1f7 ].
% 43.06/43.28 exact (zenon_H16 zenon_H14).
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H22 | zenon_intro zenon_H1f8 ].
% 43.06/43.28 apply (zenon_L418_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Ha5 ].
% 43.06/43.28 apply (zenon_L419_); trivial.
% 43.06/43.28 apply (zenon_L31_); trivial.
% 43.06/43.28 apply (zenon_L423_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.28 apply (zenon_L400_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.28 apply (zenon_L391_); trivial.
% 43.06/43.28 apply (zenon_L393_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.28 apply (zenon_L401_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.28 apply (zenon_L402_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.28 apply (zenon_L403_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.28 apply (zenon_L404_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.28 apply (zenon_L405_); trivial.
% 43.06/43.28 apply (zenon_L406_); trivial.
% 43.06/43.28 apply (zenon_L428_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.28 apply (zenon_L410_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.28 apply (zenon_L215_); trivial.
% 43.06/43.28 apply (zenon_L158_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.28 apply (zenon_L411_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.28 apply (zenon_L412_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.28 apply (zenon_L413_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.28 apply (zenon_L414_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.28 apply (zenon_L415_); trivial.
% 43.06/43.28 apply (zenon_L416_); trivial.
% 43.06/43.28 apply (zenon_notand_s _ _ zenon_H6fb); [ zenon_intro zenon_H4bb | zenon_intro zenon_H6fc ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.28 apply (zenon_L1_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.28 apply (zenon_L2_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.28 apply (zenon_L3_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.28 apply (zenon_L4_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.28 apply (zenon_L5_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.28 apply (zenon_L6_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.28 apply (zenon_L88_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.28 apply (zenon_L91_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.28 apply (zenon_L92_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.28 apply (zenon_L122_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.28 apply (zenon_L123_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.28 apply (zenon_L124_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.28 apply (zenon_L125_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.28 apply (zenon_L126_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.28 apply (zenon_L127_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.28 apply (zenon_L128_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.28 apply (zenon_L129_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.28 apply (zenon_L130_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.28 apply (zenon_L133_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.28 apply (zenon_L160_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.28 apply (zenon_L161_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.28 apply (zenon_L162_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.28 apply (zenon_L163_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.28 apply (zenon_L164_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.28 apply (zenon_L165_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.28 apply (zenon_L166_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.28 apply (zenon_L167_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.28 apply (zenon_L168_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.28 apply (zenon_L173_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.28 apply (zenon_L174_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.28 apply (zenon_L175_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.28 apply (zenon_L176_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.28 apply (zenon_L177_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.28 apply (zenon_L178_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.28 apply (zenon_L179_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.28 apply (zenon_L183_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.28 apply (zenon_L185_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.28 apply (zenon_L186_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.28 apply (zenon_L187_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.28 apply (zenon_L188_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.28 apply (zenon_L189_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.28 apply (zenon_L190_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.28 apply (zenon_L191_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.28 apply (zenon_L192_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.28 apply (zenon_L197_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.28 apply (zenon_L198_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.28 apply (zenon_L199_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.28 apply (zenon_L200_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.28 apply (zenon_L201_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.28 apply (zenon_L203_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.28 apply (zenon_L204_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.28 apply (zenon_L205_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.28 apply (zenon_L206_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.28 apply (zenon_L207_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.28 apply (zenon_L208_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.28 apply (zenon_L209_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.28 apply (zenon_L216_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.28 apply (zenon_L217_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.28 apply (zenon_L218_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.28 apply (zenon_L219_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.28 apply (zenon_L220_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.28 apply (zenon_L221_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.28 apply (zenon_L222_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.28 apply (zenon_L254_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.28 apply (zenon_L257_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.28 apply (zenon_L258_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.28 apply (zenon_L302_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.28 apply (zenon_L303_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.28 apply (zenon_L304_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.28 apply (zenon_L305_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.28 apply (zenon_L306_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.28 apply (zenon_L307_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.28 apply (zenon_L308_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.28 apply (zenon_L309_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.28 apply (zenon_L310_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.28 apply (zenon_L313_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.28 apply (zenon_L322_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.28 apply (zenon_L323_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.28 apply (zenon_L324_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.28 apply (zenon_L325_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.28 apply (zenon_L326_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.28 apply (zenon_L327_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.28 apply (zenon_L328_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.28 apply (zenon_L329_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.28 apply (zenon_L330_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.28 apply (zenon_L337_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.28 apply (zenon_L338_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.28 apply (zenon_L339_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.28 apply (zenon_L340_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.28 apply (zenon_L341_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.28 apply (zenon_L342_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.28 apply (zenon_L343_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.28 apply (zenon_L357_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.28 apply (zenon_L359_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.28 apply (zenon_L360_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.28 apply (zenon_L361_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.28 apply (zenon_L362_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.28 apply (zenon_L363_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.28 apply (zenon_L364_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.28 apply (zenon_L365_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.28 apply (zenon_L366_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.28 apply (zenon_L372_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.28 apply (zenon_L373_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.28 apply (zenon_L374_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.28 apply (zenon_L375_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.28 apply (zenon_L376_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.28 apply (zenon_L378_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.28 apply (zenon_L379_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.28 apply (zenon_L380_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.28 apply (zenon_L381_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.28 apply (zenon_L382_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.28 apply (zenon_L383_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.28 apply (zenon_L384_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.28 apply (zenon_L394_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H74 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.28 apply (zenon_L433_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.28 apply (zenon_L59_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H464); [ zenon_intro zenon_H40d | zenon_intro zenon_H466 ].
% 43.06/43.28 apply (zenon_L435_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H466); [ zenon_intro zenon_H45a | zenon_intro zenon_H467 ].
% 43.06/43.28 apply (zenon_L386_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H467); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H376 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H378); [ zenon_intro zenon_H338 | zenon_intro zenon_H379 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H463); [ zenon_intro zenon_H32c | zenon_intro zenon_H468 ].
% 43.06/43.28 apply (zenon_L260_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H468); [ zenon_intro zenon_H299 | zenon_intro zenon_H469 ].
% 43.06/43.28 apply (zenon_L232_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H469); [ zenon_intro zenon_H40d | zenon_intro zenon_H38b ].
% 43.06/43.28 apply (zenon_L369_); trivial.
% 43.06/43.28 apply (zenon_L315_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H379); [ zenon_intro zenon_H286 | zenon_intro zenon_H37a ].
% 43.06/43.28 apply (zenon_L227_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H37a); [ zenon_intro zenon_H376 | zenon_intro zenon_H302 ].
% 43.06/43.28 apply (zenon_L273_); trivial.
% 43.06/43.28 exact (zenon_H458 zenon_H302).
% 43.06/43.28 apply (zenon_L273_); trivial.
% 43.06/43.28 apply (zenon_L436_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H39 | zenon_intro zenon_H75 ].
% 43.06/43.28 apply (zenon_L15_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 43.06/43.28 apply (zenon_L16_); trivial.
% 43.06/43.28 apply (zenon_L20_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.28 apply (zenon_L400_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.28 apply (zenon_L391_); trivial.
% 43.06/43.28 apply (zenon_L393_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.28 apply (zenon_L401_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.28 apply (zenon_L402_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.28 apply (zenon_L403_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.28 apply (zenon_L404_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.28 apply (zenon_L405_); trivial.
% 43.06/43.28 apply (zenon_L406_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.28 apply (zenon_L410_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.28 apply (zenon_L215_); trivial.
% 43.06/43.28 apply (zenon_L158_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.28 apply (zenon_L411_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.28 apply (zenon_L412_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.28 apply (zenon_L413_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.28 apply (zenon_L414_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.28 apply (zenon_L415_); trivial.
% 43.06/43.28 apply (zenon_L416_); trivial.
% 43.06/43.28 apply (zenon_notand_s _ _ zenon_H6fc); [ zenon_intro zenon_H6fe | zenon_intro zenon_H6fd ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.28 apply (zenon_L1_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.28 apply (zenon_L2_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.28 apply (zenon_L3_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.28 apply (zenon_L4_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.28 apply (zenon_L5_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.28 apply (zenon_L6_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.28 apply (zenon_L88_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.28 apply (zenon_L91_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.28 apply (zenon_L92_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.28 apply (zenon_L122_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.28 apply (zenon_L123_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.28 apply (zenon_L124_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.28 apply (zenon_L125_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.28 apply (zenon_L126_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.28 apply (zenon_L127_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.28 apply (zenon_L128_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.28 apply (zenon_L129_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.28 apply (zenon_L130_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.28 apply (zenon_L133_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.28 apply (zenon_L160_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.28 apply (zenon_L161_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.28 apply (zenon_L162_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.28 apply (zenon_L163_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.28 apply (zenon_L164_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.28 apply (zenon_L165_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.28 apply (zenon_L166_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.28 apply (zenon_L167_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.28 apply (zenon_L168_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.28 apply (zenon_L173_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.28 apply (zenon_L174_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.28 apply (zenon_L175_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.28 apply (zenon_L176_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.28 apply (zenon_L177_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.28 apply (zenon_L178_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.28 apply (zenon_L179_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.28 apply (zenon_L183_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.28 apply (zenon_L185_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.28 apply (zenon_L186_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.28 apply (zenon_L187_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.28 apply (zenon_L188_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.28 apply (zenon_L189_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.28 apply (zenon_L190_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.28 apply (zenon_L191_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.28 apply (zenon_L192_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.28 apply (zenon_L197_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.28 apply (zenon_L198_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.28 apply (zenon_L199_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.28 apply (zenon_L200_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.28 apply (zenon_L201_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.28 apply (zenon_L203_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.28 apply (zenon_L204_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.28 apply (zenon_L205_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.28 apply (zenon_L206_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.28 apply (zenon_L207_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.28 apply (zenon_L208_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.28 apply (zenon_L209_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.28 apply (zenon_L216_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.28 apply (zenon_L217_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.28 apply (zenon_L218_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.28 apply (zenon_L219_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.28 apply (zenon_L220_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.28 apply (zenon_L221_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.28 apply (zenon_L222_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.28 apply (zenon_L254_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.28 apply (zenon_L257_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.28 apply (zenon_L258_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.28 apply (zenon_L302_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.28 apply (zenon_L303_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.28 apply (zenon_L304_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.28 apply (zenon_L305_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.28 apply (zenon_L306_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.28 apply (zenon_L307_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.28 apply (zenon_L308_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.28 apply (zenon_L309_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.28 apply (zenon_L310_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.28 apply (zenon_L313_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.28 apply (zenon_L322_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.28 apply (zenon_L323_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.28 apply (zenon_L324_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.28 apply (zenon_L325_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.28 apply (zenon_L326_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.28 apply (zenon_L327_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.28 apply (zenon_L328_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.28 apply (zenon_L329_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.28 apply (zenon_L330_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.28 apply (zenon_L337_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.28 apply (zenon_L338_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.28 apply (zenon_L339_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.28 apply (zenon_L340_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.28 apply (zenon_L341_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.28 apply (zenon_L342_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.28 apply (zenon_L343_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.28 apply (zenon_L357_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.28 apply (zenon_L359_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.28 apply (zenon_L360_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.28 apply (zenon_L361_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.28 apply (zenon_L362_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.28 apply (zenon_L363_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.28 apply (zenon_L364_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.28 apply (zenon_L365_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.28 apply (zenon_L366_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.28 apply (zenon_L372_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.28 apply (zenon_L373_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.28 apply (zenon_L374_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.28 apply (zenon_L375_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.28 apply (zenon_L376_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.28 apply (zenon_L378_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.28 apply (zenon_L379_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.28 apply (zenon_L380_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.28 apply (zenon_L381_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.28 apply (zenon_L382_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.28 apply (zenon_L383_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.28 apply (zenon_L384_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.28 apply (zenon_L394_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H74 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.28 apply (zenon_L113_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.28 apply (zenon_L17_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.28 apply (zenon_L136_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H26a | zenon_intro zenon_H2b8 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H39b); [ zenon_intro zenon_H360 | zenon_intro zenon_H39c ].
% 43.06/43.28 apply (zenon_L290_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H39c); [ zenon_intro zenon_H29f | zenon_intro zenon_H39d ].
% 43.06/43.28 apply (zenon_L233_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H39d); [ zenon_intro zenon_H38b | zenon_intro zenon_H390 ].
% 43.06/43.28 apply (zenon_L315_); trivial.
% 43.06/43.28 cut (((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) = ((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H6fe.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H4c9.
% 43.06/43.28 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H6ff].
% 43.06/43.28 cut (((h2 (e13)) = (h2 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H700].
% 43.06/43.28 congruence.
% 43.06/43.28 elim (classic ((h2 (op1 (e10) (e13))) = (h2 (op1 (e10) (e13))))); [ zenon_intro zenon_H701 | zenon_intro zenon_H702 ].
% 43.06/43.28 cut (((h2 (op1 (e10) (e13))) = (h2 (op1 (e10) (e13)))) = ((h2 (e13)) = (h2 (op1 (e10) (e13))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H700.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H701.
% 43.06/43.28 cut (((h2 (op1 (e10) (e13))) = (h2 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H702].
% 43.06/43.28 cut (((h2 (op1 (e10) (e13))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H703].
% 43.06/43.28 congruence.
% 43.06/43.28 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H704].
% 43.06/43.28 congruence.
% 43.06/43.28 exact (zenon_H704 zenon_H390).
% 43.06/43.28 apply zenon_H702. apply refl_equal.
% 43.06/43.28 apply zenon_H702. apply refl_equal.
% 43.06/43.28 elim (classic ((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [ zenon_intro zenon_H705 | zenon_intro zenon_H706 ].
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13)))) = ((op2 (op2 (e21) (e21)) (e21)) = (op2 (h2 (e10)) (h2 (e13))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H6ff.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H705.
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H706].
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H707].
% 43.06/43.28 congruence.
% 43.06/43.28 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (h2 (e10)) (h2 (e13))) = (op2 (op2 (e21) (e21)) (e21)))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H707.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_He4.
% 43.06/43.28 cut (((e23) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H708].
% 43.06/43.28 cut (((op2 (e20) (e23)) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H709].
% 43.06/43.28 congruence.
% 43.06/43.28 elim (classic ((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [ zenon_intro zenon_H705 | zenon_intro zenon_H706 ].
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13)))) = ((op2 (e20) (e23)) = (op2 (h2 (e10)) (h2 (e13))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H709.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H705.
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H706].
% 43.06/43.28 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H70a].
% 43.06/43.28 congruence.
% 43.06/43.28 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H4c8].
% 43.06/43.28 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 43.06/43.28 congruence.
% 43.06/43.28 apply (zenon_L395_); trivial.
% 43.06/43.28 apply (zenon_L437_); trivial.
% 43.06/43.28 apply zenon_H706. apply refl_equal.
% 43.06/43.28 apply zenon_H706. apply refl_equal.
% 43.06/43.28 exact (zenon_H708 zenon_H2d).
% 43.06/43.28 apply zenon_H706. apply refl_equal.
% 43.06/43.28 apply zenon_H706. apply refl_equal.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H27d | zenon_intro zenon_H2b9 ].
% 43.06/43.28 apply (zenon_L231_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H299 | zenon_intro zenon_H2a8 ].
% 43.06/43.28 apply (zenon_L232_); trivial.
% 43.06/43.28 apply (zenon_L236_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H39 | zenon_intro zenon_H75 ].
% 43.06/43.28 apply (zenon_L15_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 43.06/43.28 apply (zenon_L16_); trivial.
% 43.06/43.28 apply (zenon_L427_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.28 apply (zenon_L400_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.28 apply (zenon_L391_); trivial.
% 43.06/43.28 apply (zenon_L393_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.28 apply (zenon_L401_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.28 apply (zenon_L402_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.28 apply (zenon_L403_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.28 apply (zenon_L404_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.28 apply (zenon_L405_); trivial.
% 43.06/43.28 apply (zenon_L406_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.28 apply (zenon_L410_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.28 apply (zenon_L215_); trivial.
% 43.06/43.28 apply (zenon_L158_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.28 apply (zenon_L411_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.28 apply (zenon_L412_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.28 apply (zenon_L413_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.28 apply (zenon_L414_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.28 apply (zenon_L415_); trivial.
% 43.06/43.28 apply (zenon_L416_); trivial.
% 43.06/43.28 apply (zenon_notand_s _ _ zenon_H6fd); [ zenon_intro zenon_H70c | zenon_intro zenon_H70b ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.28 apply (zenon_L1_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.28 apply (zenon_L2_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.28 apply (zenon_L3_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.28 apply (zenon_L4_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.28 apply (zenon_L5_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.28 apply (zenon_L6_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.28 apply (zenon_L88_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.28 apply (zenon_L91_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.28 apply (zenon_L92_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.28 apply (zenon_L122_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.28 apply (zenon_L123_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.28 apply (zenon_L124_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.28 apply (zenon_L125_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.28 apply (zenon_L126_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.28 apply (zenon_L127_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.28 apply (zenon_L128_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.28 apply (zenon_L129_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.28 apply (zenon_L130_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.28 apply (zenon_L133_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.28 apply (zenon_L160_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.28 apply (zenon_L161_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.28 apply (zenon_L162_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.28 apply (zenon_L163_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.28 apply (zenon_L164_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.28 apply (zenon_L165_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.28 apply (zenon_L166_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.28 apply (zenon_L167_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.28 apply (zenon_L168_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.28 apply (zenon_L173_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.28 apply (zenon_L174_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.28 apply (zenon_L175_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.28 apply (zenon_L176_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.28 apply (zenon_L177_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.28 apply (zenon_L178_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.28 apply (zenon_L179_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.28 apply (zenon_L183_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.28 apply (zenon_L185_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.28 apply (zenon_L186_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.28 apply (zenon_L187_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.28 apply (zenon_L188_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.28 apply (zenon_L189_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.28 apply (zenon_L190_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.28 apply (zenon_L191_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.28 apply (zenon_L192_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.28 apply (zenon_L197_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.28 apply (zenon_L198_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.28 apply (zenon_L199_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.28 apply (zenon_L200_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.28 apply (zenon_L201_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.28 apply (zenon_L203_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.28 apply (zenon_L204_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.28 apply (zenon_L205_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.28 apply (zenon_L206_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.28 apply (zenon_L207_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.28 apply (zenon_L208_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.28 apply (zenon_L209_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.28 apply (zenon_L216_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.28 apply (zenon_L217_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.28 apply (zenon_L218_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.28 apply (zenon_L219_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.28 apply (zenon_L220_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.28 apply (zenon_L221_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.28 apply (zenon_L222_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.28 apply (zenon_L254_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.28 apply (zenon_L257_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.28 apply (zenon_L258_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.28 apply (zenon_L302_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.28 apply (zenon_L303_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.28 apply (zenon_L304_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.28 apply (zenon_L305_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.28 apply (zenon_L306_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.28 apply (zenon_L307_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.28 apply (zenon_L308_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.28 apply (zenon_L309_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.28 apply (zenon_L310_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.28 apply (zenon_L313_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.28 apply (zenon_L322_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.28 apply (zenon_L323_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.28 apply (zenon_L324_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.28 apply (zenon_L325_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.28 apply (zenon_L326_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.28 apply (zenon_L327_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.28 apply (zenon_L328_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.28 apply (zenon_L329_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.28 apply (zenon_L330_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.28 apply (zenon_L337_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.28 apply (zenon_L338_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.28 apply (zenon_L339_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.28 apply (zenon_L340_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.28 apply (zenon_L341_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.28 apply (zenon_L342_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.28 apply (zenon_L343_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.28 apply (zenon_L357_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.28 apply (zenon_L359_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.28 apply (zenon_L360_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.28 apply (zenon_L361_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.28 apply (zenon_L362_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.28 apply (zenon_L363_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.28 apply (zenon_L364_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.28 apply (zenon_L365_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.28 apply (zenon_L366_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.28 apply (zenon_L372_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.28 apply (zenon_L373_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.28 apply (zenon_L374_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.28 apply (zenon_L375_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.28 apply (zenon_L376_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.28 apply (zenon_L378_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.28 apply (zenon_L379_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.28 apply (zenon_L380_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.28 apply (zenon_L381_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.28 apply (zenon_L382_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.28 apply (zenon_L383_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.28 apply (zenon_L384_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.28 apply (zenon_L394_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H74 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H83 | zenon_intro zenon_H186 ].
% 43.06/43.28 apply (zenon_L113_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H139 | zenon_intro zenon_H187 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H26a | zenon_intro zenon_H2b8 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H5d0); [ zenon_intro zenon_H360 | zenon_intro zenon_H70d ].
% 43.06/43.28 apply (zenon_L290_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H70d); [ zenon_intro zenon_H508 | zenon_intro zenon_H70e ].
% 43.06/43.28 cut (((h2 (e13)) = (op2 (op2 (e21) (e21)) (e21))) = ((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H70c.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H4c9.
% 43.06/43.28 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (h2 (e11)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H70f].
% 43.06/43.28 cut (((h2 (e13)) = (h2 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H710].
% 43.06/43.28 congruence.
% 43.06/43.28 elim (classic ((h2 (op1 (e11) (e10))) = (h2 (op1 (e11) (e10))))); [ zenon_intro zenon_H711 | zenon_intro zenon_H712 ].
% 43.06/43.28 cut (((h2 (op1 (e11) (e10))) = (h2 (op1 (e11) (e10)))) = ((h2 (e13)) = (h2 (op1 (e11) (e10))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H710.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H711.
% 43.06/43.28 cut (((h2 (op1 (e11) (e10))) = (h2 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H712].
% 43.06/43.28 cut (((h2 (op1 (e11) (e10))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H713].
% 43.06/43.28 congruence.
% 43.06/43.28 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H714].
% 43.06/43.28 congruence.
% 43.06/43.28 exact (zenon_H714 zenon_H508).
% 43.06/43.28 apply zenon_H712. apply refl_equal.
% 43.06/43.28 apply zenon_H712. apply refl_equal.
% 43.06/43.28 elim (classic ((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10))))); [ zenon_intro zenon_H715 | zenon_intro zenon_H716 ].
% 43.06/43.28 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10)))) = ((op2 (op2 (e21) (e21)) (e21)) = (op2 (h2 (e11)) (h2 (e10))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H70f.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H715.
% 43.06/43.28 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H716].
% 43.06/43.28 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H717].
% 43.06/43.28 congruence.
% 43.06/43.28 cut (((op2 (e21) (e20)) = (e23)) = ((op2 (h2 (e11)) (h2 (e10))) = (op2 (op2 (e21) (e21)) (e21)))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H717.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H139.
% 43.06/43.28 cut (((e23) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H708].
% 43.06/43.28 cut (((op2 (e21) (e20)) = (op2 (h2 (e11)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H718].
% 43.06/43.28 congruence.
% 43.06/43.28 elim (classic ((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10))))); [ zenon_intro zenon_H715 | zenon_intro zenon_H716 ].
% 43.06/43.28 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10)))) = ((op2 (e21) (e20)) = (op2 (h2 (e11)) (h2 (e10))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H718.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H715.
% 43.06/43.28 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (h2 (e11)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H716].
% 43.06/43.28 cut (((op2 (h2 (e11)) (h2 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H719].
% 43.06/43.28 congruence.
% 43.06/43.28 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H46a].
% 43.06/43.28 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H4a4].
% 43.06/43.28 congruence.
% 43.06/43.28 exact (zenon_H4a4 zenon_H497).
% 43.06/43.28 apply (zenon_L395_); trivial.
% 43.06/43.28 apply zenon_H716. apply refl_equal.
% 43.06/43.28 apply zenon_H716. apply refl_equal.
% 43.06/43.28 exact (zenon_H708 zenon_H2d).
% 43.06/43.28 apply zenon_H716. apply refl_equal.
% 43.06/43.28 apply zenon_H716. apply refl_equal.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H70e); [ zenon_intro zenon_H37b | zenon_intro zenon_H361 ].
% 43.06/43.28 apply (zenon_L275_); trivial.
% 43.06/43.28 apply (zenon_L438_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H27d | zenon_intro zenon_H2b9 ].
% 43.06/43.28 apply (zenon_L231_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H299 | zenon_intro zenon_H2a8 ].
% 43.06/43.28 apply (zenon_L232_); trivial.
% 43.06/43.28 apply (zenon_L396_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H14d | zenon_intro zenon_H129 ].
% 43.06/43.28 apply (zenon_L74_); trivial.
% 43.06/43.28 apply (zenon_L439_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H39 | zenon_intro zenon_H75 ].
% 43.06/43.28 apply (zenon_L15_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 43.06/43.28 apply (zenon_L16_); trivial.
% 43.06/43.28 apply (zenon_L20_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.28 apply (zenon_L400_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.28 apply (zenon_L391_); trivial.
% 43.06/43.28 apply (zenon_L393_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.28 apply (zenon_L401_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.28 apply (zenon_L402_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.28 apply (zenon_L403_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.28 apply (zenon_L404_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.28 apply (zenon_L405_); trivial.
% 43.06/43.28 apply (zenon_L406_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.28 apply (zenon_L410_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.28 apply (zenon_L215_); trivial.
% 43.06/43.28 apply (zenon_L158_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.28 apply (zenon_L411_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.28 apply (zenon_L412_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.28 apply (zenon_L413_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.28 apply (zenon_L414_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.28 apply (zenon_L415_); trivial.
% 43.06/43.28 apply (zenon_L416_); trivial.
% 43.06/43.28 apply (zenon_notand_s _ _ zenon_H70b); [ zenon_intro zenon_H71b | zenon_intro zenon_H71a ].
% 43.06/43.28 cut (((h2 (e12)) = (op2 (e21) (e21))) = ((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H71b.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H4b9.
% 43.06/43.28 cut (((op2 (e21) (e21)) = (op2 (h2 (e11)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H71c].
% 43.06/43.28 cut (((h2 (e12)) = (h2 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H71d].
% 43.06/43.28 congruence.
% 43.06/43.28 elim (classic ((h2 (op1 (e11) (e11))) = (h2 (op1 (e11) (e11))))); [ zenon_intro zenon_H71e | zenon_intro zenon_H71f ].
% 43.06/43.28 cut (((h2 (op1 (e11) (e11))) = (h2 (op1 (e11) (e11)))) = ((h2 (e12)) = (h2 (op1 (e11) (e11))))).
% 43.06/43.28 intro zenon_D_pnotp.
% 43.06/43.28 apply zenon_H71d.
% 43.06/43.28 rewrite <- zenon_D_pnotp.
% 43.06/43.28 exact zenon_H71e.
% 43.06/43.28 cut (((h2 (op1 (e11) (e11))) = (h2 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H71f].
% 43.06/43.28 cut (((h2 (op1 (e11) (e11))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H720].
% 43.06/43.28 congruence.
% 43.06/43.28 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H28e].
% 43.06/43.28 congruence.
% 43.06/43.28 apply zenon_H28e. apply sym_equal. exact zenon_H285.
% 43.06/43.28 apply zenon_H71f. apply refl_equal.
% 43.06/43.28 apply zenon_H71f. apply refl_equal.
% 43.06/43.28 cut (((e21) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H504].
% 43.06/43.28 cut (((e21) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H504].
% 43.06/43.28 congruence.
% 43.06/43.28 apply zenon_H504. apply sym_equal. exact zenon_H497.
% 43.06/43.28 apply zenon_H504. apply sym_equal. exact zenon_H497.
% 43.06/43.28 apply (zenon_notand_s _ _ zenon_H71a); [ zenon_intro zenon_H4cd | zenon_intro zenon_H721 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.28 apply (zenon_L1_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.28 apply (zenon_L2_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.28 apply (zenon_L3_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.28 apply (zenon_L4_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.28 apply (zenon_L5_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.28 apply (zenon_L6_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.28 apply (zenon_L88_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.28 apply (zenon_L91_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.28 apply (zenon_L92_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.28 apply (zenon_L122_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.28 apply (zenon_L123_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.28 apply (zenon_L124_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.28 apply (zenon_L125_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.28 apply (zenon_L126_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.28 apply (zenon_L127_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.28 apply (zenon_L128_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.28 apply (zenon_L129_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.28 apply (zenon_L130_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.28 apply (zenon_L133_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.28 apply (zenon_L160_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.28 apply (zenon_L161_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.28 apply (zenon_L162_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.28 apply (zenon_L163_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.28 apply (zenon_L164_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.28 apply (zenon_L165_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.28 apply (zenon_L166_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.28 apply (zenon_L167_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.28 apply (zenon_L168_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.28 apply (zenon_L173_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.28 apply (zenon_L174_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.28 apply (zenon_L175_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.28 apply (zenon_L176_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.28 apply (zenon_L177_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.28 apply (zenon_L178_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.28 apply (zenon_L179_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.28 apply (zenon_L183_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.28 apply (zenon_L185_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.28 apply (zenon_L186_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.28 apply (zenon_L187_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.28 apply (zenon_L188_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.28 apply (zenon_L189_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.28 apply (zenon_L190_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.28 apply (zenon_L191_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.28 apply (zenon_L192_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.28 apply (zenon_L197_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.28 apply (zenon_L198_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.28 apply (zenon_L199_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.28 apply (zenon_L200_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.28 apply (zenon_L201_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.28 apply (zenon_L203_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.28 apply (zenon_L204_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.28 apply (zenon_L205_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.28 apply (zenon_L206_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.28 apply (zenon_L207_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.28 apply (zenon_L208_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.28 apply (zenon_L209_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.28 apply (zenon_L216_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H195. zenon_intro zenon_H194.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H11e | zenon_intro zenon_H105 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.28 apply (zenon_L217_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.28 apply (zenon_L218_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.28 apply (zenon_L219_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.28 apply (zenon_L220_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.28 apply (zenon_L221_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.28 apply (zenon_L222_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.28 apply (zenon_L254_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.28 apply (zenon_L257_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.28 apply (zenon_L258_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.28 apply (zenon_L302_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.28 apply (zenon_L303_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.28 apply (zenon_L304_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.28 apply (zenon_L305_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.28 apply (zenon_L306_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.28 apply (zenon_L307_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.28 apply (zenon_L308_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.28 apply (zenon_L309_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.28 apply (zenon_L310_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.28 apply (zenon_L313_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.28 apply (zenon_L322_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.28 apply (zenon_L323_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.28 apply (zenon_L324_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.28 apply (zenon_L325_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.28 apply (zenon_L326_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.28 apply (zenon_L327_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.28 apply (zenon_L328_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.28 apply (zenon_L329_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.28 apply (zenon_L330_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.28 apply (zenon_L337_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.28 apply (zenon_L338_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.28 apply (zenon_L339_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.28 apply (zenon_L340_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.28 apply (zenon_L341_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.28 apply (zenon_L342_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.28 apply (zenon_L343_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.28 apply (zenon_L357_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.28 apply (zenon_L359_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.28 apply (zenon_L360_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.28 apply (zenon_L361_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.28 apply (zenon_L362_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.28 apply (zenon_L363_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.28 apply (zenon_L364_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.28 apply (zenon_L365_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.28 apply (zenon_L366_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.28 apply (zenon_L372_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.28 apply (zenon_L373_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.28 apply (zenon_L374_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.28 apply (zenon_L375_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.28 apply (zenon_L376_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.28 apply (zenon_L378_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.28 apply (zenon_L379_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.28 apply (zenon_L380_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.28 apply (zenon_L381_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.28 apply (zenon_L382_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.28 apply (zenon_L383_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.28 apply (zenon_L384_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.28 apply (zenon_L394_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H74 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.28 apply (zenon_L433_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.28 apply (zenon_L59_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.28 apply (zenon_L446_); trivial.
% 43.06/43.28 apply (zenon_L436_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H39 | zenon_intro zenon_H75 ].
% 43.06/43.28 apply (zenon_L15_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 43.06/43.28 apply (zenon_L16_); trivial.
% 43.06/43.28 apply (zenon_L20_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.28 apply (zenon_L400_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.28 apply (zenon_L391_); trivial.
% 43.06/43.28 apply (zenon_L393_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.28 apply (zenon_L401_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.28 apply (zenon_L402_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.28 apply (zenon_L403_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.28 apply (zenon_L404_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.28 apply (zenon_L405_); trivial.
% 43.06/43.28 apply (zenon_L406_); trivial.
% 43.06/43.28 apply (zenon_L432_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.28 apply (zenon_L410_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.28 apply (zenon_L215_); trivial.
% 43.06/43.28 apply (zenon_L158_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.28 apply (zenon_L411_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.28 apply (zenon_L412_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.28 apply (zenon_L413_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.28 apply (zenon_L414_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.28 apply (zenon_L415_); trivial.
% 43.06/43.28 apply (zenon_L416_); trivial.
% 43.06/43.28 apply (zenon_notand_s _ _ zenon_H721); [ zenon_intro zenon_H4e4 | zenon_intro zenon_H722 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.28 apply (zenon_L1_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.28 apply (zenon_L2_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.28 apply (zenon_L3_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.28 apply (zenon_L4_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.28 apply (zenon_L5_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.28 apply (zenon_L6_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.28 apply (zenon_L88_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.28 apply (zenon_L91_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.28 apply (zenon_L92_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.28 apply (zenon_L122_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.28 apply (zenon_L123_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.28 apply (zenon_L124_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.28 apply (zenon_L125_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.28 apply (zenon_L126_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.28 apply (zenon_L127_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.28 apply (zenon_L128_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.28 apply (zenon_L129_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.28 apply (zenon_L130_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.28 apply (zenon_L133_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.28 apply (zenon_L160_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.28 apply (zenon_L161_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.28 apply (zenon_L162_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.28 apply (zenon_L163_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.28 apply (zenon_L164_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.28 apply (zenon_L165_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.28 apply (zenon_L166_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.28 apply (zenon_L167_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.28 apply (zenon_L168_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.28 apply (zenon_L173_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.28 apply (zenon_L174_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.28 apply (zenon_L175_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.28 apply (zenon_L176_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.28 apply (zenon_L177_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.28 apply (zenon_L178_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.28 apply (zenon_L179_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.28 apply (zenon_L183_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.28 apply (zenon_L185_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.28 apply (zenon_L186_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.28 apply (zenon_L187_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.28 apply (zenon_L188_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.28 apply (zenon_L189_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.28 apply (zenon_L190_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.28 apply (zenon_L191_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.28 apply (zenon_L192_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.28 apply (zenon_L197_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.28 apply (zenon_L198_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.28 apply (zenon_L199_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.28 apply (zenon_L200_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.28 apply (zenon_L201_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.28 apply (zenon_L203_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.28 apply (zenon_L204_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.28 apply (zenon_L205_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.28 apply (zenon_L206_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.28 apply (zenon_L207_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.28 apply (zenon_L208_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.28 apply (zenon_L209_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.28 apply (zenon_L216_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H195. zenon_intro zenon_H194.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H1e1 | zenon_intro zenon_Hce ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.28 apply (zenon_L217_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.28 apply (zenon_L218_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.28 apply (zenon_L219_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.28 apply (zenon_L220_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.28 apply (zenon_L221_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.28 apply (zenon_L222_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.28 apply (zenon_L254_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.28 apply (zenon_L257_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.28 apply (zenon_L258_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.28 apply (zenon_L302_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.28 apply (zenon_L303_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.28 apply (zenon_L304_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.28 apply (zenon_L305_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.28 apply (zenon_L306_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.28 apply (zenon_L307_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.28 apply (zenon_L308_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.28 apply (zenon_L309_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.28 apply (zenon_L310_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.28 apply (zenon_L313_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.28 apply (zenon_L322_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.28 apply (zenon_L323_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.28 apply (zenon_L324_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.28 apply (zenon_L325_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.28 apply (zenon_L326_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.28 apply (zenon_L327_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.28 apply (zenon_L328_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.28 apply (zenon_L329_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.28 apply (zenon_L330_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.28 apply (zenon_L337_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.28 apply (zenon_L338_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.28 apply (zenon_L339_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.28 apply (zenon_L340_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.28 apply (zenon_L341_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.28 apply (zenon_L342_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.28 apply (zenon_L343_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.28 apply (zenon_L357_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.28 apply (zenon_L359_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.28 apply (zenon_L360_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.28 apply (zenon_L361_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.28 apply (zenon_L362_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.28 apply (zenon_L363_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.28 apply (zenon_L364_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.28 apply (zenon_L365_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.28 apply (zenon_L366_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.28 apply (zenon_L372_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.28 apply (zenon_L373_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.28 apply (zenon_L374_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.28 apply (zenon_L375_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.28 apply (zenon_L376_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.28 apply (zenon_L378_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.28 apply (zenon_L379_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.28 apply (zenon_L380_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.28 apply (zenon_L381_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.28 apply (zenon_L382_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.28 apply (zenon_L383_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.28 apply (zenon_L384_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.28 apply (zenon_L394_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H344. zenon_intro zenon_H343.
% 43.06/43.28 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H346. zenon_intro zenon_H345.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H3d9 | zenon_intro zenon_H34e ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H19b | zenon_intro zenon_H1a7 ].
% 43.06/43.28 exact (zenon_H1e1 zenon_H19b).
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H2b | zenon_intro zenon_H1a8 ].
% 43.06/43.28 apply (zenon_L447_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1a1 ].
% 43.06/43.28 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.28 apply (zenon_L449_); trivial.
% 43.06/43.28 apply (zenon_L265_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.28 apply (zenon_L400_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.28 apply (zenon_L391_); trivial.
% 43.06/43.28 apply (zenon_L393_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.28 apply (zenon_L401_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.28 apply (zenon_L402_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.28 apply (zenon_L403_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.28 apply (zenon_L404_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.28 apply (zenon_L405_); trivial.
% 43.06/43.28 apply (zenon_L406_); trivial.
% 43.06/43.28 apply (zenon_L425_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.28 apply (zenon_L410_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.28 apply (zenon_L215_); trivial.
% 43.06/43.28 apply (zenon_L158_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.28 apply (zenon_L411_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.28 apply (zenon_L412_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.28 apply (zenon_L413_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.28 apply (zenon_L414_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.28 apply (zenon_L415_); trivial.
% 43.06/43.28 apply (zenon_L416_); trivial.
% 43.06/43.28 apply (zenon_notand_s _ _ zenon_H722); [ zenon_intro zenon_H4f5 | zenon_intro zenon_H723 ].
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.28 apply (zenon_L1_); trivial.
% 43.06/43.28 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.29 apply (zenon_L2_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.29 apply (zenon_L3_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.29 apply (zenon_L4_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.29 apply (zenon_L5_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.29 apply (zenon_L6_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H22. zenon_intro zenon_H170.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H24. zenon_intro zenon_H171.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H8d. zenon_intro zenon_H146.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_L302_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_L322_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_L357_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_L372_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_L394_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 43.06/43.29 apply (zenon_L452_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 43.06/43.29 apply (zenon_L55_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 43.06/43.29 apply (zenon_L56_); trivial.
% 43.06/43.29 apply (zenon_L25_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L400_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L391_); trivial.
% 43.06/43.29 apply (zenon_L393_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.29 apply (zenon_L91_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.29 apply (zenon_L92_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.29 apply (zenon_L122_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.29 apply (zenon_L123_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.29 apply (zenon_L124_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.29 apply (zenon_L125_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.29 apply (zenon_L126_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.29 apply (zenon_L127_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.29 apply (zenon_L128_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.29 apply (zenon_L129_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.29 apply (zenon_L130_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.29 apply (zenon_L133_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.29 apply (zenon_L160_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.29 apply (zenon_L161_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.29 apply (zenon_L162_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.29 apply (zenon_L163_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.29 apply (zenon_L164_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.29 apply (zenon_L165_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.29 apply (zenon_L166_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.29 apply (zenon_L167_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.29 apply (zenon_L168_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.29 apply (zenon_L173_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.29 apply (zenon_L174_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.29 apply (zenon_L175_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.29 apply (zenon_L176_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.29 apply (zenon_L177_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.29 apply (zenon_L178_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.29 apply (zenon_L179_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.29 apply (zenon_L183_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.29 apply (zenon_L185_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.29 apply (zenon_L186_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.29 apply (zenon_L187_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.29 apply (zenon_L188_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.29 apply (zenon_L189_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.29 apply (zenon_L190_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.29 apply (zenon_L191_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.29 apply (zenon_L192_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.29 apply (zenon_L197_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.29 apply (zenon_L198_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.29 apply (zenon_L199_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.29 apply (zenon_L200_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.29 apply (zenon_L201_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.29 apply (zenon_L203_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.29 apply (zenon_L204_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.29 apply (zenon_L205_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.29 apply (zenon_L206_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.29 apply (zenon_L207_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.29 apply (zenon_L208_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.29 apply (zenon_L209_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.29 apply (zenon_L216_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_L302_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_L322_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_L357_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_L372_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_L394_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H26 | zenon_intro zenon_H74 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 43.06/43.29 apply (zenon_L452_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 43.06/43.29 apply (zenon_L426_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 43.06/43.29 apply (zenon_L432_); trivial.
% 43.06/43.29 apply (zenon_L25_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H39 | zenon_intro zenon_H75 ].
% 43.06/43.29 apply (zenon_L15_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H55 | zenon_intro zenon_H64 ].
% 43.06/43.29 apply (zenon_L16_); trivial.
% 43.06/43.29 apply (zenon_L427_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L400_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L391_); trivial.
% 43.06/43.29 apply (zenon_L393_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_L410_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_L215_); trivial.
% 43.06/43.29 apply (zenon_L158_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.29 apply (zenon_L411_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.29 apply (zenon_L412_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.29 apply (zenon_L413_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.29 apply (zenon_L414_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.29 apply (zenon_L415_); trivial.
% 43.06/43.29 apply (zenon_L416_); trivial.
% 43.06/43.29 apply (zenon_notand_s _ _ zenon_H723); [ zenon_intro zenon_H4fe | zenon_intro zenon_H724 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_L302_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_L322_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_L357_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L331_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 43.06/43.29 apply (zenon_L233_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 43.06/43.29 apply (zenon_L234_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 43.06/43.29 apply (zenon_L453_); trivial.
% 43.06/43.29 exact (zenon_H293 zenon_H28f).
% 43.06/43.29 apply (zenon_L463_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L247_); trivial.
% 43.06/43.29 apply (zenon_L371_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_L394_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H29f | zenon_intro zenon_H2af ].
% 43.06/43.29 apply (zenon_L233_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2b0 ].
% 43.06/43.29 apply (zenon_L388_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H28f ].
% 43.06/43.29 apply (zenon_L453_); trivial.
% 43.06/43.29 apply (zenon_L230_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_notand_s _ _ zenon_H724); [ zenon_intro zenon_H51f | zenon_intro zenon_H725 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.29 apply (zenon_L1_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.29 apply (zenon_L2_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.29 apply (zenon_L3_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.29 apply (zenon_L4_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.29 apply (zenon_L5_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.29 apply (zenon_L6_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H22. zenon_intro zenon_H170.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H24. zenon_intro zenon_H171.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H8d. zenon_intro zenon_H146.
% 43.06/43.29 apply (zenon_L467_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.29 apply (zenon_L91_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.29 apply (zenon_L92_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.29 apply (zenon_L122_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.29 apply (zenon_L123_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.29 apply (zenon_L124_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.29 apply (zenon_L125_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.29 apply (zenon_L126_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.29 apply (zenon_L127_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.29 apply (zenon_L128_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.29 apply (zenon_L129_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.29 apply (zenon_L130_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.29 apply (zenon_L133_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.29 apply (zenon_L160_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.29 apply (zenon_L161_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.29 apply (zenon_L162_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.29 apply (zenon_L163_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.29 apply (zenon_L164_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.29 apply (zenon_L165_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.29 apply (zenon_L166_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.29 apply (zenon_L167_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.29 apply (zenon_L168_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.29 apply (zenon_L173_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.29 apply (zenon_L174_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.29 apply (zenon_L175_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.29 apply (zenon_L176_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.29 apply (zenon_L177_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.29 apply (zenon_L178_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.29 apply (zenon_L179_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.29 apply (zenon_L183_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.29 apply (zenon_L185_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.29 apply (zenon_L186_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.29 apply (zenon_L187_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.29 apply (zenon_L188_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.29 apply (zenon_L189_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.29 apply (zenon_L190_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.29 apply (zenon_L191_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.29 apply (zenon_L192_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H93. zenon_intro zenon_H236.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H144. zenon_intro zenon_H1d2.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H83. zenon_intro zenon_Ha9.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_L169_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H14 | zenon_intro zenon_H1f7 ].
% 43.06/43.29 apply (zenon_L135_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H22 | zenon_intro zenon_H1f8 ].
% 43.06/43.29 exact (zenon_H25 zenon_H22).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Ha5 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L24_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H105 | zenon_intro zenon_H237 ].
% 43.06/43.29 apply (zenon_L94_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H8d | zenon_intro zenon_H238 ].
% 43.06/43.29 apply (zenon_L467_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H104 | zenon_intro zenon_H140 ].
% 43.06/43.29 apply (zenon_L194_); trivial.
% 43.06/43.29 exact (zenon_H144 zenon_H140).
% 43.06/43.29 apply (zenon_L195_); trivial.
% 43.06/43.29 exact (zenon_Ha9 zenon_Ha5).
% 43.06/43.29 apply (zenon_L113_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_L171_); trivial.
% 43.06/43.29 apply (zenon_L196_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.29 apply (zenon_L198_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.29 apply (zenon_L199_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.29 apply (zenon_L200_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.29 apply (zenon_L201_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.29 apply (zenon_L203_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.29 apply (zenon_L204_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.29 apply (zenon_L205_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.29 apply (zenon_L206_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.29 apply (zenon_L207_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.29 apply (zenon_L208_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.29 apply (zenon_L209_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.29 apply (zenon_L216_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_L302_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_L322_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_L357_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L331_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H43a); [ zenon_intro zenon_H258 | zenon_intro zenon_H43d ].
% 43.06/43.29 apply (zenon_L367_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H43d); [ zenon_intro zenon_H266 | zenon_intro zenon_H43e ].
% 43.06/43.29 exact (zenon_H269 zenon_H266).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H43e); [ zenon_intro zenon_H32c | zenon_intro zenon_H2f8 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H418); [ zenon_intro zenon_H330 | zenon_intro zenon_H419 ].
% 43.06/43.29 apply (zenon_L468_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H419); [ zenon_intro zenon_H40a | zenon_intro zenon_H41a ].
% 43.06/43.29 apply (zenon_L347_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41a); [ zenon_intro zenon_H40d | zenon_intro zenon_H2d1 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H43b); [ zenon_intro zenon_H33f | zenon_intro zenon_H43f ].
% 43.06/43.29 apply (zenon_L261_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H43f); [ zenon_intro zenon_H2cc | zenon_intro zenon_H440 ].
% 43.06/43.29 apply (zenon_L469_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H440); [ zenon_intro zenon_H3c3 | zenon_intro zenon_H308 ].
% 43.06/43.29 apply (zenon_L369_); trivial.
% 43.06/43.29 exact (zenon_H2e7 zenon_H308).
% 43.06/43.29 apply (zenon_L241_); trivial.
% 43.06/43.29 exact (zenon_H2fc zenon_H2f8).
% 43.06/43.29 apply (zenon_L290_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L247_); trivial.
% 43.06/43.29 apply (zenon_L371_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_L394_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 43.06/43.29 apply (zenon_L16_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 43.06/43.29 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 43.06/43.29 apply (zenon_L466_); trivial.
% 43.06/43.29 apply (zenon_L430_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L400_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L391_); trivial.
% 43.06/43.29 apply (zenon_L393_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_L410_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_L215_); trivial.
% 43.06/43.29 apply (zenon_L158_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.29 apply (zenon_L411_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.29 apply (zenon_L412_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.29 apply (zenon_L413_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.29 apply (zenon_L414_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.29 apply (zenon_L415_); trivial.
% 43.06/43.29 apply (zenon_L416_); trivial.
% 43.06/43.29 apply (zenon_notand_s _ _ zenon_H725); [ zenon_intro zenon_H56b | zenon_intro zenon_H726 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.29 apply (zenon_L1_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.29 apply (zenon_L2_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.29 apply (zenon_L3_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.29 apply (zenon_L4_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.29 apply (zenon_L5_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.29 apply (zenon_L6_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H22. zenon_intro zenon_H170.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H24. zenon_intro zenon_H171.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H8d. zenon_intro zenon_H146.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_L21_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_L22_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H176. zenon_intro zenon_H175.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H92. zenon_intro zenon_H17b.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17d. zenon_intro zenon_H17c.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H17f. zenon_intro zenon_H17e.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H181. zenon_intro zenon_H180.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H101 | zenon_intro zenon_H104 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L262_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_H26e | zenon_intro zenon_H26f ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L478_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L478_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L63_); trivial.
% 43.06/43.29 apply (zenon_L479_); trivial.
% 43.06/43.29 apply (zenon_L85_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L482_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L482_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L63_); trivial.
% 43.06/43.29 apply (zenon_L483_); trivial.
% 43.06/43.29 apply (zenon_L85_); trivial.
% 43.06/43.29 apply (zenon_L289_); trivial.
% 43.06/43.29 apply (zenon_L291_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L292_); trivial.
% 43.06/43.29 apply (zenon_L301_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L314_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_L484_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L488_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L488_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L63_); trivial.
% 43.06/43.29 apply (zenon_L489_); trivial.
% 43.06/43.29 apply (zenon_L85_); trivial.
% 43.06/43.29 apply (zenon_L319_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L320_); trivial.
% 43.06/43.29 apply (zenon_L321_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_L357_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L491_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L491_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L63_); trivial.
% 43.06/43.29 apply (zenon_L492_); trivial.
% 43.06/43.29 apply (zenon_L85_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L496_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L496_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L63_); trivial.
% 43.06/43.29 apply (zenon_L499_); trivial.
% 43.06/43.29 apply (zenon_L85_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L502_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_L503_); trivial.
% 43.06/43.29 apply (zenon_L85_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L400_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L391_); trivial.
% 43.06/43.29 apply (zenon_L393_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_L78_); trivial.
% 43.06/43.29 apply (zenon_L87_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.29 apply (zenon_L91_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.29 apply (zenon_L92_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_Hc8. zenon_intro zenon_H1c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H85. zenon_intro zenon_H1c4.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_L95_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H1c7. zenon_intro zenon_H1c6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1c9. zenon_intro zenon_H1c8.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H2a | zenon_intro zenon_H2b ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H4f | zenon_intro zenon_H188 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H19b | zenon_intro zenon_H1a7 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 43.06/43.29 apply (zenon_L504_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 43.06/43.29 apply (zenon_L99_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 43.06/43.29 apply (zenon_L513_); trivial.
% 43.06/43.29 apply (zenon_L25_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H2b | zenon_intro zenon_H1a8 ].
% 43.06/43.29 exact (zenon_H2a zenon_H2b).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1a1 ].
% 43.06/43.29 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.29 apply (zenon_L170_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.29 apply (zenon_L17_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.29 apply (zenon_L103_); trivial.
% 43.06/43.29 apply (zenon_L106_); trivial.
% 43.06/43.29 apply (zenon_L516_); trivial.
% 43.06/43.29 apply (zenon_L112_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_L114_); trivial.
% 43.06/43.29 apply (zenon_L121_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.29 apply (zenon_L123_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.29 apply (zenon_L124_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.29 apply (zenon_L125_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.29 apply (zenon_L126_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.29 apply (zenon_L127_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.29 apply (zenon_L128_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.29 apply (zenon_L129_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.29 apply (zenon_L130_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.29 apply (zenon_L133_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H19b. zenon_intro zenon_H1f6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_Hcf. zenon_intro zenon_H1f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hbf. zenon_intro zenon_H1e8.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_L134_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H1c7. zenon_intro zenon_H1c6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1c9. zenon_intro zenon_H1c8.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H4f | zenon_intro zenon_H188 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L148_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L140_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L63_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1f2 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H22 | zenon_intro zenon_Hda ].
% 43.06/43.29 apply (zenon_L524_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hce | zenon_intro zenon_Hdb ].
% 43.06/43.29 exact (zenon_Hcf zenon_Hce).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H31 ].
% 43.06/43.29 apply (zenon_L147_); trivial.
% 43.06/43.29 apply (zenon_L8_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hce | zenon_intro zenon_H1f3 ].
% 43.06/43.29 exact (zenon_Hcf zenon_Hce).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H1ed | zenon_intro zenon_Hab ].
% 43.06/43.29 apply (zenon_L144_); trivial.
% 43.06/43.29 apply (zenon_L32_); trivial.
% 43.06/43.29 apply (zenon_L154_); trivial.
% 43.06/43.29 apply (zenon_L516_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_L156_); trivial.
% 43.06/43.29 apply (zenon_L159_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.29 apply (zenon_L161_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.29 apply (zenon_L162_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.29 apply (zenon_L163_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.29 apply (zenon_L164_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.29 apply (zenon_L165_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.29 apply (zenon_L166_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.29 apply (zenon_L167_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.29 apply (zenon_L168_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H20a.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H62. zenon_intro zenon_H1d2.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H83. zenon_intro zenon_Ha9.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H120 | zenon_intro zenon_H133 ].
% 43.06/43.29 apply (zenon_L64_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H31 | zenon_intro zenon_H134 ].
% 43.06/43.29 apply (zenon_L8_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H126 | zenon_intro zenon_Hbf ].
% 43.06/43.29 apply (zenon_L65_); trivial.
% 43.06/43.29 apply (zenon_L529_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_L170_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_L171_); trivial.
% 43.06/43.29 apply (zenon_L172_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.29 apply (zenon_L174_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.29 apply (zenon_L175_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.29 apply (zenon_L176_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.29 apply (zenon_L177_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.29 apply (zenon_L178_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.29 apply (zenon_L179_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.29 apply (zenon_L183_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.29 apply (zenon_L185_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.29 apply (zenon_L186_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.29 apply (zenon_L187_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.29 apply (zenon_L188_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.29 apply (zenon_L189_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.29 apply (zenon_L190_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.29 apply (zenon_L191_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.29 apply (zenon_L192_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H93. zenon_intro zenon_H236.
% 43.06/43.29 apply (zenon_L521_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.29 apply (zenon_L198_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.29 apply (zenon_L199_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.29 apply (zenon_L200_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.29 apply (zenon_L201_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.29 apply (zenon_L203_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.29 apply (zenon_L204_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.29 apply (zenon_L205_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.29 apply (zenon_L206_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.29 apply (zenon_L207_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.29 apply (zenon_L208_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.29 apply (zenon_L209_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H137. zenon_intro zenon_H255.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf2. zenon_intro zenon_H191.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H84. zenon_intro zenon_Hcc.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L262_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_H26e | zenon_intro zenon_H26f ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.06/43.29 apply (zenon_L436_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.06/43.29 apply (zenon_L104_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.06/43.29 apply (zenon_L476_); trivial.
% 43.06/43.29 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.06/43.29 apply (zenon_L436_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.06/43.29 apply (zenon_L104_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.06/43.29 apply (zenon_L480_); trivial.
% 43.06/43.29 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.29 apply (zenon_L289_); trivial.
% 43.06/43.29 apply (zenon_L291_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L292_); trivial.
% 43.06/43.29 apply (zenon_L301_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L314_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_L484_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.06/43.29 apply (zenon_L436_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.06/43.29 apply (zenon_L104_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.06/43.29 apply (zenon_L486_); trivial.
% 43.06/43.29 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.29 apply (zenon_L319_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L320_); trivial.
% 43.06/43.29 apply (zenon_L321_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_L357_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H575); [ zenon_intro zenon_H155 | zenon_intro zenon_H576 ].
% 43.06/43.29 apply (zenon_L436_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H576); [ zenon_intro zenon_H1aa | zenon_intro zenon_H577 ].
% 43.06/43.29 apply (zenon_L104_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H577); [ zenon_intro zenon_H93 | zenon_intro zenon_Hee ].
% 43.06/43.29 apply (zenon_L472_); trivial.
% 43.06/43.29 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L530_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L390_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L391_); trivial.
% 43.06/43.29 apply (zenon_L393_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L530_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L400_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L391_); trivial.
% 43.06/43.29 apply (zenon_L393_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H1c7. zenon_intro zenon_H1c6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1c9. zenon_intro zenon_H1c8.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H146 | zenon_intro zenon_H8d ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L262_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_H26e | zenon_intro zenon_H26f ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.29 exact (zenon_Hcc zenon_Hc8).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.29 apply (zenon_L210_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.29 apply (zenon_L532_); trivial.
% 43.06/43.29 apply (zenon_L65_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.29 exact (zenon_Hcc zenon_Hc8).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.29 apply (zenon_L210_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.29 apply (zenon_L533_); trivial.
% 43.06/43.29 apply (zenon_L65_); trivial.
% 43.06/43.29 apply (zenon_L289_); trivial.
% 43.06/43.29 apply (zenon_L291_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L292_); trivial.
% 43.06/43.29 apply (zenon_L301_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L314_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_L484_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.29 exact (zenon_Hcc zenon_Hc8).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.29 apply (zenon_L210_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.29 apply (zenon_L534_); trivial.
% 43.06/43.29 apply (zenon_L65_); trivial.
% 43.06/43.29 apply (zenon_L319_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L320_); trivial.
% 43.06/43.29 apply (zenon_L321_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_L357_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.29 exact (zenon_Hcc zenon_Hc8).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.29 apply (zenon_L210_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.29 apply (zenon_L535_); trivial.
% 43.06/43.29 apply (zenon_L65_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.29 exact (zenon_Hcc zenon_Hc8).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.29 apply (zenon_L210_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.29 apply (zenon_L536_); trivial.
% 43.06/43.29 apply (zenon_L65_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L390_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L391_); trivial.
% 43.06/43.29 apply (zenon_L393_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.29 exact (zenon_Hcc zenon_Hc8).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.29 apply (zenon_L210_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.29 apply (zenon_L537_); trivial.
% 43.06/43.29 apply (zenon_L65_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L400_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L391_); trivial.
% 43.06/43.29 apply (zenon_L393_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_L538_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_L215_); trivial.
% 43.06/43.29 apply (zenon_L158_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H63. zenon_intro zenon_H73.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H195. zenon_intro zenon_H194.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H197. zenon_intro zenon_H196.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H199. zenon_intro zenon_H198.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H11e | zenon_intro zenon_H105 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L262_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H3b7); [ zenon_intro zenon_H26e | zenon_intro zenon_H26f ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 43.06/43.29 apply (zenon_L16_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 43.06/43.29 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 43.06/43.29 apply (zenon_L539_); trivial.
% 43.06/43.29 apply (zenon_L430_); trivial.
% 43.06/43.29 apply (zenon_L541_); trivial.
% 43.06/43.29 apply (zenon_L289_); trivial.
% 43.06/43.29 apply (zenon_L291_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L292_); trivial.
% 43.06/43.29 apply (zenon_L301_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L314_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H269 | zenon_intro zenon_H26a ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_L484_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 43.06/43.29 apply (zenon_L16_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 43.06/43.29 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 43.06/43.29 apply (zenon_L542_); trivial.
% 43.06/43.29 apply (zenon_L430_); trivial.
% 43.06/43.29 apply (zenon_L319_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L320_); trivial.
% 43.06/43.29 apply (zenon_L321_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_L357_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 43.06/43.29 apply (zenon_L16_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 43.06/43.29 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 43.06/43.29 apply (zenon_L543_); trivial.
% 43.06/43.29 apply (zenon_L430_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a7. zenon_intro zenon_H2b7.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 43.06/43.29 apply (zenon_L16_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 43.06/43.29 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 43.06/43.29 apply (zenon_L544_); trivial.
% 43.06/43.29 apply (zenon_L430_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L390_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L391_); trivial.
% 43.06/43.29 apply (zenon_L393_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b5. zenon_intro zenon_H3b4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H27c. zenon_intro zenon_H2b5.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H298. zenon_intro zenon_H2b6.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 43.06/43.29 apply (zenon_L16_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 43.06/43.29 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 43.06/43.29 apply (zenon_L545_); trivial.
% 43.06/43.29 apply (zenon_L430_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L400_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L391_); trivial.
% 43.06/43.29 apply (zenon_L393_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_L432_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_L410_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_L215_); trivial.
% 43.06/43.29 apply (zenon_L158_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.29 apply (zenon_L411_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.29 apply (zenon_L412_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.29 apply (zenon_L413_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.29 apply (zenon_L414_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.29 apply (zenon_L415_); trivial.
% 43.06/43.29 apply (zenon_L416_); trivial.
% 43.06/43.29 apply (zenon_notand_s _ _ zenon_H726); [ zenon_intro zenon_H580 | zenon_intro zenon_H727 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.29 apply (zenon_L1_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.29 apply (zenon_L2_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.29 apply (zenon_L3_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.29 apply (zenon_L4_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.29 apply (zenon_L5_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.29 apply (zenon_L6_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H22. zenon_intro zenon_H170.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H24. zenon_intro zenon_H171.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H8d. zenon_intro zenon_H146.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_L21_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_L22_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H176. zenon_intro zenon_H175.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H92. zenon_intro zenon_H17b.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17d. zenon_intro zenon_H17c.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H17f. zenon_intro zenon_H17e.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H181. zenon_intro zenon_H180.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H101 | zenon_intro zenon_H104 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L262_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L576_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L576_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L63_); trivial.
% 43.06/43.29 apply (zenon_L551_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L577_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L578_); trivial.
% 43.06/43.29 apply (zenon_L551_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L576_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L576_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L63_); trivial.
% 43.06/43.29 apply (zenon_L553_); trivial.
% 43.06/43.29 apply (zenon_L579_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L292_); trivial.
% 43.06/43.29 apply (zenon_L301_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L314_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_L580_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L576_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L576_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L63_); trivial.
% 43.06/43.29 apply (zenon_L561_); trivial.
% 43.06/43.29 apply (zenon_L581_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L320_); trivial.
% 43.06/43.29 apply (zenon_L321_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H34c. zenon_intro zenon_H41c.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H3dd. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L344_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_L580_); trivial.
% 43.06/43.29 apply (zenon_L356_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L320_); trivial.
% 43.06/43.29 apply (zenon_L321_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_L577_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_L582_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H84 | zenon_intro zenon_H184 ].
% 43.06/43.29 apply (zenon_L577_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H114 | zenon_intro zenon_H185 ].
% 43.06/43.29 apply (zenon_L60_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H11a | zenon_intro zenon_Hb8 ].
% 43.06/43.29 apply (zenon_L578_); trivial.
% 43.06/43.29 apply (zenon_L569_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.06/43.29 apply (zenon_L584_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_L584_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_L78_); trivial.
% 43.06/43.29 apply (zenon_L87_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.29 apply (zenon_L91_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.29 apply (zenon_L92_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_Hc8. zenon_intro zenon_H1c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H85. zenon_intro zenon_H1c4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_L95_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L262_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.29 apply (zenon_L555_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.29 apply (zenon_L17_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.29 apply (zenon_L103_); trivial.
% 43.06/43.29 apply (zenon_L106_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L292_); trivial.
% 43.06/43.29 apply (zenon_L301_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L314_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_L585_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.29 apply (zenon_L563_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.29 apply (zenon_L17_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.29 apply (zenon_L103_); trivial.
% 43.06/43.29 apply (zenon_L106_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L320_); trivial.
% 43.06/43.29 apply (zenon_L321_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H34c. zenon_intro zenon_H41c.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H3dd. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L344_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_L585_); trivial.
% 43.06/43.29 apply (zenon_L356_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L320_); trivial.
% 43.06/43.29 apply (zenon_L321_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_L587_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.29 apply (zenon_L573_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.29 apply (zenon_L17_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.29 apply (zenon_L103_); trivial.
% 43.06/43.29 apply (zenon_L106_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.29 apply (zenon_L574_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.29 apply (zenon_L17_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.29 apply (zenon_L103_); trivial.
% 43.06/43.29 apply (zenon_L106_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.29 apply (zenon_L114_); trivial.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H168. zenon_intro zenon_H167.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H5f ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L262_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.29 apply (zenon_L555_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.29 apply (zenon_L17_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.29 apply (zenon_L103_); trivial.
% 43.06/43.29 apply (zenon_L119_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L292_); trivial.
% 43.06/43.29 apply (zenon_L301_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L314_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L588_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L320_); trivial.
% 43.06/43.29 apply (zenon_L321_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.29 apply (zenon_L323_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.29 apply (zenon_L324_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.29 apply (zenon_L325_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.29 apply (zenon_L326_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.29 apply (zenon_L327_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.29 apply (zenon_L328_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.29 apply (zenon_L329_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.29 apply (zenon_L330_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.29 apply (zenon_L337_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.29 apply (zenon_L338_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.29 apply (zenon_L339_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.29 apply (zenon_L340_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.29 apply (zenon_L341_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.29 apply (zenon_L342_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.29 apply (zenon_L343_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H34c. zenon_intro zenon_H41c.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H3dd. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L344_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_L588_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L320_); trivial.
% 43.06/43.29 apply (zenon_L321_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.29 apply (zenon_L359_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.29 apply (zenon_L360_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.29 apply (zenon_L361_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.29 apply (zenon_L362_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.29 apply (zenon_L363_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.29 apply (zenon_L364_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.29 apply (zenon_L365_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.29 apply (zenon_L366_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.29 apply (zenon_L570_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.29 apply (zenon_L17_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.29 apply (zenon_L103_); trivial.
% 43.06/43.29 apply (zenon_L119_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.29 apply (zenon_L373_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.29 apply (zenon_L374_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.29 apply (zenon_L375_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.29 apply (zenon_L376_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.29 apply (zenon_L378_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.29 apply (zenon_L379_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.29 apply (zenon_L380_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.29 apply (zenon_L381_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.29 apply (zenon_L382_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.29 apply (zenon_L383_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.29 apply (zenon_L384_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.06/43.29 apply (zenon_L589_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_L589_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.29 apply (zenon_L401_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.29 apply (zenon_L402_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.29 apply (zenon_L403_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.29 apply (zenon_L404_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.29 apply (zenon_L405_); trivial.
% 43.06/43.29 apply (zenon_L406_); trivial.
% 43.06/43.29 apply (zenon_L18_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.29 apply (zenon_L123_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.29 apply (zenon_L124_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.29 apply (zenon_L125_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.29 apply (zenon_L126_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.29 apply (zenon_L127_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.29 apply (zenon_L128_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.29 apply (zenon_L129_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.29 apply (zenon_L130_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.29 apply (zenon_L133_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H19b. zenon_intro zenon_H1f6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_Hcf. zenon_intro zenon_H1f.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hbf. zenon_intro zenon_H1e8.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.29 apply (zenon_L134_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.29 apply (zenon_L217_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.29 apply (zenon_L218_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.29 apply (zenon_L219_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.29 apply (zenon_L220_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.29 apply (zenon_L221_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.29 apply (zenon_L222_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.29 apply (zenon_L254_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.29 apply (zenon_L257_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.29 apply (zenon_L258_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H32c. zenon_intro zenon_H3b2.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H32e. zenon_intro zenon_H3b3.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L262_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.29 apply (zenon_L555_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.29 apply (zenon_L17_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.29 apply (zenon_L590_); trivial.
% 43.06/43.29 apply (zenon_L106_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.29 apply (zenon_L59_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.29 apply (zenon_L591_); trivial.
% 43.06/43.29 apply (zenon_L593_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.29 apply (zenon_L556_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.29 apply (zenon_L17_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.29 apply (zenon_L103_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.29 apply (zenon_L145_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.29 apply (zenon_L595_); trivial.
% 43.06/43.29 apply (zenon_L65_); trivial.
% 43.06/43.29 apply (zenon_L106_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.29 apply (zenon_L292_); trivial.
% 43.06/43.29 apply (zenon_L301_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.29 apply (zenon_L303_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.29 apply (zenon_L304_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.29 apply (zenon_L305_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.29 apply (zenon_L306_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.29 apply (zenon_L307_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.29 apply (zenon_L308_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.29 apply (zenon_L309_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.29 apply (zenon_L310_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.29 apply (zenon_L313_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.29 apply (zenon_L314_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.29 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.29 apply (zenon_L598_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.29 apply (zenon_L565_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.29 apply (zenon_L17_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H218 ].
% 43.06/43.29 apply (zenon_L103_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H1ed | zenon_intro zenon_H219 ].
% 43.06/43.29 apply (zenon_L145_); trivial.
% 43.06/43.29 apply (zenon_or_s _ _ zenon_H219); [ zenon_intro zenon_H105 | zenon_intro zenon_H126 ].
% 43.06/43.30 apply (zenon_L600_); trivial.
% 43.06/43.30 apply (zenon_L65_); trivial.
% 43.06/43.30 apply (zenon_L106_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.30 apply (zenon_L320_); trivial.
% 43.06/43.30 apply (zenon_L321_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.30 apply (zenon_L323_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.30 apply (zenon_L324_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.30 apply (zenon_L325_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.30 apply (zenon_L326_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.30 apply (zenon_L327_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.30 apply (zenon_L328_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.30 apply (zenon_L329_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.30 apply (zenon_L330_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.30 apply (zenon_L337_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.30 apply (zenon_L338_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.30 apply (zenon_L339_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.30 apply (zenon_L340_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.30 apply (zenon_L341_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.30 apply (zenon_L342_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.30 apply (zenon_L343_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H34c. zenon_intro zenon_H41c.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H3dd. zenon_intro zenon_H263.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.30 apply (zenon_L344_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.30 apply (zenon_L598_); trivial.
% 43.06/43.30 apply (zenon_L356_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.30 apply (zenon_L320_); trivial.
% 43.06/43.30 apply (zenon_L321_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.30 apply (zenon_L359_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.30 apply (zenon_L360_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.30 apply (zenon_L361_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.30 apply (zenon_L362_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.30 apply (zenon_L363_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.30 apply (zenon_L364_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.30 apply (zenon_L365_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.30 apply (zenon_L366_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2d0. zenon_intro zenon_H43c.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H2e7. zenon_intro zenon_H3ca.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H360. zenon_intro zenon_H2fc.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.30 apply (zenon_L569_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.30 apply (zenon_L11_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.30 apply (zenon_L139_); trivial.
% 43.06/43.30 apply (zenon_L62_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.30 apply (zenon_L373_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.30 apply (zenon_L374_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.30 apply (zenon_L375_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.30 apply (zenon_L376_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.30 apply (zenon_L378_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.30 apply (zenon_L379_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.30 apply (zenon_L380_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.30 apply (zenon_L381_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.30 apply (zenon_L382_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.30 apply (zenon_L383_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.30 apply (zenon_L384_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H375. zenon_intro zenon_H465.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H458. zenon_intro zenon_H32d.
% 43.06/43.30 apply (zenon_L603_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H55f). zenon_intro zenon_H375. zenon_intro zenon_H560.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H560). zenon_intro zenon_H458. zenon_intro zenon_H3b3.
% 43.06/43.30 apply (zenon_L603_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.30 apply (zenon_L401_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.30 apply (zenon_L402_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.30 apply (zenon_L403_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.30 apply (zenon_L404_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.30 apply (zenon_L405_); trivial.
% 43.06/43.30 apply (zenon_L406_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.30 apply (zenon_L156_); trivial.
% 43.06/43.30 apply (zenon_L607_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.30 apply (zenon_L161_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.30 apply (zenon_L162_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.30 apply (zenon_L163_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.30 apply (zenon_L164_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.30 apply (zenon_L165_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.30 apply (zenon_L166_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.30 apply (zenon_L167_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.30 apply (zenon_L168_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H20a.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H62. zenon_intro zenon_H1d2.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H83. zenon_intro zenon_Ha9.
% 43.06/43.30 apply (zenon_L575_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.30 apply (zenon_L174_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.30 apply (zenon_L175_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.30 apply (zenon_L176_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.30 apply (zenon_L177_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.30 apply (zenon_L178_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.30 apply (zenon_L179_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H11a. zenon_intro zenon_H21b.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1e5. zenon_intro zenon_H1f.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hbf. zenon_intro zenon_H1e8.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.30 apply (zenon_L180_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.30 apply (zenon_L575_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.30 apply (zenon_L17_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.30 apply (zenon_L182_); trivial.
% 43.06/43.30 apply (zenon_L106_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.30 apply (zenon_L156_); trivial.
% 43.06/43.30 apply (zenon_L607_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.30 apply (zenon_L185_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.30 apply (zenon_L186_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.30 apply (zenon_L187_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.30 apply (zenon_L188_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.30 apply (zenon_L189_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.30 apply (zenon_L190_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.30 apply (zenon_L191_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.30 apply (zenon_L192_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H93. zenon_intro zenon_H236.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H144. zenon_intro zenon_H1d2.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H83. zenon_intro zenon_Ha9.
% 43.06/43.30 apply (zenon_L575_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.30 apply (zenon_L198_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.30 apply (zenon_L199_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.30 apply (zenon_L200_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.30 apply (zenon_L201_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.30 apply (zenon_L203_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.30 apply (zenon_L204_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.30 apply (zenon_L205_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.30 apply (zenon_L206_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.30 apply (zenon_L207_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.30 apply (zenon_L208_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.30 apply (zenon_L209_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H137. zenon_intro zenon_H255.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf2. zenon_intro zenon_H191.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.30 apply (zenon_L217_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.30 apply (zenon_L218_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.30 apply (zenon_L219_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.30 apply (zenon_L220_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.30 apply (zenon_L221_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.30 apply (zenon_L222_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.30 apply (zenon_L254_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.30 apply (zenon_L257_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.30 apply (zenon_L258_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.30 apply (zenon_L609_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.30 apply (zenon_L303_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.30 apply (zenon_L304_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.30 apply (zenon_L305_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.30 apply (zenon_L306_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.30 apply (zenon_L307_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.30 apply (zenon_L308_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.30 apply (zenon_L309_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.30 apply (zenon_L310_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.30 apply (zenon_L313_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.30 apply (zenon_L314_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.30 apply (zenon_L610_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hf4 ].
% 43.06/43.30 apply (zenon_L561_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_H42 | zenon_intro zenon_Hf5 ].
% 43.06/43.30 apply (zenon_L11_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hee ].
% 43.06/43.30 apply (zenon_L79_); trivial.
% 43.06/43.30 exact (zenon_Hf2 zenon_Hee).
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.30 apply (zenon_L320_); trivial.
% 43.06/43.30 apply (zenon_L321_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.30 apply (zenon_L323_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.30 apply (zenon_L324_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.30 apply (zenon_L325_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.30 apply (zenon_L326_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.30 apply (zenon_L327_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.30 apply (zenon_L328_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.30 apply (zenon_L329_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.30 apply (zenon_L330_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.30 apply (zenon_L337_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.30 apply (zenon_L338_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.30 apply (zenon_L339_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.30 apply (zenon_L340_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.30 apply (zenon_L341_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.30 apply (zenon_L342_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.30 apply (zenon_L343_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H34c. zenon_intro zenon_H41c.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H3dd. zenon_intro zenon_H263.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.30 apply (zenon_L344_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.30 apply (zenon_L610_); trivial.
% 43.06/43.30 apply (zenon_L356_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.30 apply (zenon_L320_); trivial.
% 43.06/43.30 apply (zenon_L321_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.30 apply (zenon_L359_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.30 apply (zenon_L360_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.30 apply (zenon_L361_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.30 apply (zenon_L362_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.30 apply (zenon_L363_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.30 apply (zenon_L364_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.30 apply (zenon_L365_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.30 apply (zenon_L366_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.30 apply (zenon_L611_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.30 apply (zenon_L373_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.30 apply (zenon_L374_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.30 apply (zenon_L375_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.30 apply (zenon_L376_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.30 apply (zenon_L378_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.30 apply (zenon_L379_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.30 apply (zenon_L380_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.30 apply (zenon_L381_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.30 apply (zenon_L382_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.30 apply (zenon_L383_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.30 apply (zenon_L384_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.30 apply (zenon_L613_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.30 apply (zenon_L614_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.30 apply (zenon_L401_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.30 apply (zenon_L402_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.30 apply (zenon_L403_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.30 apply (zenon_L404_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.30 apply (zenon_L405_); trivial.
% 43.06/43.30 apply (zenon_L406_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H6ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1c4.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1c4). zenon_intro zenon_H1c5. zenon_intro zenon_H1a6.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H38. zenon_intro zenon_H71.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H54. zenon_intro zenon_H72.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H524); [ zenon_intro zenon_H256 | zenon_intro zenon_H525 ].
% 43.06/43.30 apply (zenon_L217_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H525); [ zenon_intro zenon_H25b | zenon_intro zenon_H526 ].
% 43.06/43.30 apply (zenon_L218_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H526); [ zenon_intro zenon_H25e | zenon_intro zenon_H527 ].
% 43.06/43.30 apply (zenon_L219_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H527); [ zenon_intro zenon_H261 | zenon_intro zenon_H528 ].
% 43.06/43.30 apply (zenon_L220_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H528); [ zenon_intro zenon_H264 | zenon_intro zenon_H529 ].
% 43.06/43.30 apply (zenon_L221_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H529); [ zenon_intro zenon_H26b | zenon_intro zenon_H52a ].
% 43.06/43.30 apply (zenon_L222_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52a); [ zenon_intro zenon_H309 | zenon_intro zenon_H52b ].
% 43.06/43.30 apply (zenon_L254_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52b); [ zenon_intro zenon_H327 | zenon_intro zenon_H52c ].
% 43.06/43.30 apply (zenon_L257_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52c); [ zenon_intro zenon_H32a | zenon_intro zenon_H52d ].
% 43.06/43.30 apply (zenon_L258_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52d); [ zenon_intro zenon_H3ae | zenon_intro zenon_H52e ].
% 43.06/43.30 apply (zenon_L609_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52e); [ zenon_intro zenon_H3bf | zenon_intro zenon_H52f ].
% 43.06/43.30 apply (zenon_L303_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52f); [ zenon_intro zenon_H3c4 | zenon_intro zenon_H530 ].
% 43.06/43.30 apply (zenon_L304_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H530); [ zenon_intro zenon_H3c8 | zenon_intro zenon_H531 ].
% 43.06/43.30 apply (zenon_L305_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H531); [ zenon_intro zenon_H3cc | zenon_intro zenon_H532 ].
% 43.06/43.30 apply (zenon_L306_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H532); [ zenon_intro zenon_H3cf | zenon_intro zenon_H533 ].
% 43.06/43.30 apply (zenon_L307_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H533); [ zenon_intro zenon_H3d2 | zenon_intro zenon_H534 ].
% 43.06/43.30 apply (zenon_L308_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H534); [ zenon_intro zenon_H3d5 | zenon_intro zenon_H535 ].
% 43.06/43.30 apply (zenon_L309_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H535); [ zenon_intro zenon_H3d7 | zenon_intro zenon_H536 ].
% 43.06/43.30 apply (zenon_L310_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H536); [ zenon_intro zenon_H3de | zenon_intro zenon_H537 ].
% 43.06/43.30 apply (zenon_L313_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H537); [ zenon_intro zenon_H3e9 | zenon_intro zenon_H538 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H36f. zenon_intro zenon_H3ea.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H34f. zenon_intro zenon_H263.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.30 apply (zenon_L314_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.30 apply (zenon_L617_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H55 | zenon_intro zenon_H4b6 ].
% 43.06/43.30 apply (zenon_L16_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H4b7 ].
% 43.06/43.30 exact (zenon_H1a6 zenon_H1a9).
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H8d | zenon_intro zenon_H4b3 ].
% 43.06/43.30 apply (zenon_L619_); trivial.
% 43.06/43.30 apply (zenon_L430_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.30 apply (zenon_L320_); trivial.
% 43.06/43.30 apply (zenon_L321_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H538); [ zenon_intro zenon_H3eb | zenon_intro zenon_H539 ].
% 43.06/43.30 apply (zenon_L323_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H539); [ zenon_intro zenon_H3ed | zenon_intro zenon_H53a ].
% 43.06/43.30 apply (zenon_L324_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53a); [ zenon_intro zenon_H3ef | zenon_intro zenon_H53b ].
% 43.06/43.30 apply (zenon_L325_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53b); [ zenon_intro zenon_H3f1 | zenon_intro zenon_H53c ].
% 43.06/43.30 apply (zenon_L326_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53c); [ zenon_intro zenon_H3f3 | zenon_intro zenon_H53d ].
% 43.06/43.30 apply (zenon_L327_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53d); [ zenon_intro zenon_H3f5 | zenon_intro zenon_H53e ].
% 43.06/43.30 apply (zenon_L328_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53e); [ zenon_intro zenon_H3f7 | zenon_intro zenon_H53f ].
% 43.06/43.30 apply (zenon_L329_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H53f); [ zenon_intro zenon_H3f9 | zenon_intro zenon_H540 ].
% 43.06/43.30 apply (zenon_L330_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H540); [ zenon_intro zenon_H3fc | zenon_intro zenon_H541 ].
% 43.06/43.30 apply (zenon_L337_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H541); [ zenon_intro zenon_H3fe | zenon_intro zenon_H542 ].
% 43.06/43.30 apply (zenon_L338_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H542); [ zenon_intro zenon_H400 | zenon_intro zenon_H543 ].
% 43.06/43.30 apply (zenon_L339_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H543); [ zenon_intro zenon_H402 | zenon_intro zenon_H544 ].
% 43.06/43.30 apply (zenon_L340_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H544); [ zenon_intro zenon_H404 | zenon_intro zenon_H545 ].
% 43.06/43.30 apply (zenon_L341_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H545); [ zenon_intro zenon_H406 | zenon_intro zenon_H546 ].
% 43.06/43.30 apply (zenon_L342_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H546); [ zenon_intro zenon_H408 | zenon_intro zenon_H547 ].
% 43.06/43.30 apply (zenon_L343_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H547); [ zenon_intro zenon_H41b | zenon_intro zenon_H548 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H34c. zenon_intro zenon_H41c.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H3dd. zenon_intro zenon_H263.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H303. zenon_intro zenon_H3e4.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H30f ].
% 43.06/43.30 apply (zenon_L344_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H2ba | zenon_intro zenon_H310 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H2bc. zenon_intro zenon_H2bb.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2be. zenon_intro zenon_H2bd.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2c0. zenon_intro zenon_H2bf.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H3b7. zenon_intro zenon_H3b6.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H3b6). zenon_intro zenon_H41e. zenon_intro zenon_H41d.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H41d); [ zenon_intro zenon_H293 | zenon_intro zenon_H323 ].
% 43.06/43.30 apply (zenon_L617_); trivial.
% 43.06/43.30 apply (zenon_L356_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H311 ].
% 43.06/43.30 apply (zenon_L320_); trivial.
% 43.06/43.30 apply (zenon_L321_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H548); [ zenon_intro zenon_H421 | zenon_intro zenon_H549 ].
% 43.06/43.30 apply (zenon_L359_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H549); [ zenon_intro zenon_H423 | zenon_intro zenon_H54a ].
% 43.06/43.30 apply (zenon_L360_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54a); [ zenon_intro zenon_H426 | zenon_intro zenon_H54b ].
% 43.06/43.30 apply (zenon_L361_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54b); [ zenon_intro zenon_H428 | zenon_intro zenon_H54c ].
% 43.06/43.30 apply (zenon_L362_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54c); [ zenon_intro zenon_H42a | zenon_intro zenon_H54d ].
% 43.06/43.30 apply (zenon_L363_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54d); [ zenon_intro zenon_H42c | zenon_intro zenon_H54e ].
% 43.06/43.30 apply (zenon_L364_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54e); [ zenon_intro zenon_H42e | zenon_intro zenon_H54f ].
% 43.06/43.30 apply (zenon_L365_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H54f); [ zenon_intro zenon_H430 | zenon_intro zenon_H550 ].
% 43.06/43.30 apply (zenon_L366_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H550); [ zenon_intro zenon_H439 | zenon_intro zenon_H551 ].
% 43.06/43.30 apply (zenon_L611_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H551); [ zenon_intro zenon_H441 | zenon_intro zenon_H552 ].
% 43.06/43.30 apply (zenon_L373_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H552); [ zenon_intro zenon_H443 | zenon_intro zenon_H553 ].
% 43.06/43.30 apply (zenon_L374_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H553); [ zenon_intro zenon_H445 | zenon_intro zenon_H554 ].
% 43.06/43.30 apply (zenon_L375_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H554); [ zenon_intro zenon_H447 | zenon_intro zenon_H555 ].
% 43.06/43.30 apply (zenon_L376_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H555); [ zenon_intro zenon_H449 | zenon_intro zenon_H556 ].
% 43.06/43.30 apply (zenon_L378_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H556); [ zenon_intro zenon_H44b | zenon_intro zenon_H557 ].
% 43.06/43.30 apply (zenon_L379_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H557); [ zenon_intro zenon_H44d | zenon_intro zenon_H558 ].
% 43.06/43.30 apply (zenon_L380_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H558); [ zenon_intro zenon_H44f | zenon_intro zenon_H559 ].
% 43.06/43.30 apply (zenon_L381_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H559); [ zenon_intro zenon_H451 | zenon_intro zenon_H55a ].
% 43.06/43.30 apply (zenon_L382_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55a); [ zenon_intro zenon_H454 | zenon_intro zenon_H55b ].
% 43.06/43.30 apply (zenon_L383_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55b); [ zenon_intro zenon_H456 | zenon_intro zenon_H55c ].
% 43.06/43.30 apply (zenon_L384_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55c); [ zenon_intro zenon_H462 | zenon_intro zenon_H55d ].
% 43.06/43.30 apply (zenon_L613_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55d); [ zenon_intro zenon_H55f | zenon_intro zenon_H55e ].
% 43.06/43.30 apply (zenon_L614_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H55e); [ zenon_intro zenon_H47a | zenon_intro zenon_H561 ].
% 43.06/43.30 apply (zenon_L401_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H561); [ zenon_intro zenon_H47c | zenon_intro zenon_H562 ].
% 43.06/43.30 apply (zenon_L402_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H562); [ zenon_intro zenon_H47e | zenon_intro zenon_H563 ].
% 43.06/43.30 apply (zenon_L403_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H563); [ zenon_intro zenon_H480 | zenon_intro zenon_H564 ].
% 43.06/43.30 apply (zenon_L404_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H564); [ zenon_intro zenon_H482 | zenon_intro zenon_H484 ].
% 43.06/43.30 apply (zenon_L405_); trivial.
% 43.06/43.30 apply (zenon_L406_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.30 apply (zenon_L410_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.30 apply (zenon_L215_); trivial.
% 43.06/43.30 apply (zenon_L158_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.30 apply (zenon_L411_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.30 apply (zenon_L412_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.30 apply (zenon_L413_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.30 apply (zenon_L414_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.30 apply (zenon_L415_); trivial.
% 43.06/43.30 apply (zenon_L416_); trivial.
% 43.06/43.30 apply (zenon_notand_s _ _ zenon_H727); [ zenon_intro zenon_H588 | zenon_intro zenon_H728 ].
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H31 | zenon_intro zenon_H51 ].
% 43.06/43.30 apply (zenon_L8_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H3a | zenon_intro zenon_H52 ].
% 43.06/43.30 apply (zenon_L621_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H42 | zenon_intro zenon_H4b ].
% 43.06/43.30 apply (zenon_L11_); trivial.
% 43.06/43.30 apply (zenon_L14_); trivial.
% 43.06/43.30 apply (zenon_notand_s _ _ zenon_H728); [ zenon_intro zenon_H59a | zenon_intro zenon_H729 ].
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6a6); [ zenon_intro zenon_H12 | zenon_intro zenon_H6b1 ].
% 43.06/43.30 apply (zenon_L1_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6b1); [ zenon_intro zenon_H17 | zenon_intro zenon_H6b2 ].
% 43.06/43.30 apply (zenon_L2_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6b2); [ zenon_intro zenon_H1a | zenon_intro zenon_H6b3 ].
% 43.06/43.30 apply (zenon_L3_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6b3); [ zenon_intro zenon_H1d | zenon_intro zenon_H6b4 ].
% 43.06/43.30 apply (zenon_L4_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6b4); [ zenon_intro zenon_H20 | zenon_intro zenon_H6b5 ].
% 43.06/43.30 apply (zenon_L5_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6b5); [ zenon_intro zenon_H27 | zenon_intro zenon_H6b6 ].
% 43.06/43.30 apply (zenon_L6_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6b6); [ zenon_intro zenon_H16b | zenon_intro zenon_H6b7 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H22. zenon_intro zenon_H170.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H24. zenon_intro zenon_H171.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H8d. zenon_intro zenon_H146.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.30 apply (zenon_L21_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.30 apply (zenon_L22_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H174). zenon_intro zenon_H176. zenon_intro zenon_H175.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H178. zenon_intro zenon_H177.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H92. zenon_intro zenon_H17b.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H17d. zenon_intro zenon_H17c.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H17f. zenon_intro zenon_H17e.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H181. zenon_intro zenon_H180.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H101 | zenon_intro zenon_H104 ].
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H84 | zenon_intro zenon_H182 ].
% 43.06/43.30 apply (zenon_L632_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H110 | zenon_intro zenon_H183 ].
% 43.06/43.30 apply (zenon_L59_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H155 ].
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.30 apply (zenon_L631_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.30 apply (zenon_L17_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.30 apply (zenon_L30_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H5b | zenon_intro zenon_H6b ].
% 43.06/43.30 apply (zenon_L17_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H5f | zenon_intro zenon_H6c ].
% 43.06/43.30 apply (zenon_L18_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H65 | zenon_intro zenon_H4b ].
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H10b ].
% 43.06/43.30 apply (zenon_L633_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H10c ].
% 43.06/43.30 apply (zenon_L55_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H105 | zenon_intro zenon_H87 ].
% 43.06/43.30 apply (zenon_L56_); trivial.
% 43.06/43.30 apply (zenon_L25_); trivial.
% 43.06/43.30 apply (zenon_L14_); trivial.
% 43.06/43.30 apply (zenon_L634_); trivial.
% 43.06/43.30 apply (zenon_L78_); trivial.
% 43.06/43.30 apply (zenon_L87_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6b7); [ zenon_intro zenon_H18c | zenon_intro zenon_H6b8 ].
% 43.06/43.30 apply (zenon_L91_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6b8); [ zenon_intro zenon_H18f | zenon_intro zenon_H6b9 ].
% 43.06/43.30 apply (zenon_L92_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6b9); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H6ba ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_Hc8. zenon_intro zenon_H1c3.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H85. zenon_intro zenon_H1c4.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.30 apply (zenon_L95_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 43.06/43.30 apply (zenon_L635_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.30 apply (zenon_L114_); trivial.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H15e. zenon_intro zenon_H15d.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H166. zenon_intro zenon_H165.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_H168. zenon_intro zenon_H167.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H5f ].
% 43.06/43.30 apply (zenon_L636_); trivial.
% 43.06/43.30 apply (zenon_L18_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6ba); [ zenon_intro zenon_H1ca | zenon_intro zenon_H6bb ].
% 43.06/43.30 apply (zenon_L123_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6bb); [ zenon_intro zenon_H1cd | zenon_intro zenon_H6bc ].
% 43.06/43.30 apply (zenon_L124_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6bc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H6bd ].
% 43.06/43.30 apply (zenon_L125_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6bd); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H6be ].
% 43.06/43.30 apply (zenon_L126_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6be); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H6bf ].
% 43.06/43.30 apply (zenon_L127_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6bf); [ zenon_intro zenon_H1da | zenon_intro zenon_H6c0 ].
% 43.06/43.30 apply (zenon_L128_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c0); [ zenon_intro zenon_H1dd | zenon_intro zenon_H6c1 ].
% 43.06/43.30 apply (zenon_L129_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c1); [ zenon_intro zenon_H1df | zenon_intro zenon_H6c2 ].
% 43.06/43.30 apply (zenon_L130_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c2); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H6c3 ].
% 43.06/43.30 apply (zenon_L133_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c3); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H6c4 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H19b. zenon_intro zenon_H1f6.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_Hcf. zenon_intro zenon_H1f.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hbf. zenon_intro zenon_H1e8.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.30 apply (zenon_L134_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H7f). zenon_intro zenon_H1c7. zenon_intro zenon_H1c6.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H1c9. zenon_intro zenon_H1c8.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H4f | zenon_intro zenon_H188 ].
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H129 | zenon_intro zenon_H135 ].
% 43.06/43.30 exact (zenon_H1e8 zenon_H129).
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H4b | zenon_intro zenon_H136 ].
% 43.06/43.30 exact (zenon_H4f zenon_H4b).
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H137 | zenon_intro zenon_H12b ].
% 43.06/43.30 apply (zenon_L629_); trivial.
% 43.06/43.30 apply (zenon_L67_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.30 apply (zenon_L631_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.30 apply (zenon_L17_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.30 apply (zenon_L642_); trivial.
% 43.06/43.30 apply (zenon_L106_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.30 apply (zenon_L156_); trivial.
% 43.06/43.30 apply (zenon_L643_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c4); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H6c5 ].
% 43.06/43.30 apply (zenon_L161_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c5); [ zenon_intro zenon_H1fb | zenon_intro zenon_H6c6 ].
% 43.06/43.30 apply (zenon_L162_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H6c7 ].
% 43.06/43.30 apply (zenon_L163_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c7); [ zenon_intro zenon_H1ff | zenon_intro zenon_H6c8 ].
% 43.06/43.30 apply (zenon_L164_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c8); [ zenon_intro zenon_H201 | zenon_intro zenon_H6c9 ].
% 43.06/43.30 apply (zenon_L165_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6c9); [ zenon_intro zenon_H203 | zenon_intro zenon_H6ca ].
% 43.06/43.30 apply (zenon_L166_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6ca); [ zenon_intro zenon_H205 | zenon_intro zenon_H6cb ].
% 43.06/43.30 apply (zenon_L167_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6cb); [ zenon_intro zenon_H207 | zenon_intro zenon_H6cc ].
% 43.06/43.30 apply (zenon_L168_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6cc); [ zenon_intro zenon_H209 | zenon_intro zenon_H6cd ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H1a1. zenon_intro zenon_H20a.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H62. zenon_intro zenon_H1d2.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H83. zenon_intro zenon_Ha9.
% 43.06/43.30 apply (zenon_L631_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6cd); [ zenon_intro zenon_H20b | zenon_intro zenon_H6ce ].
% 43.06/43.30 apply (zenon_L174_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6ce); [ zenon_intro zenon_H20d | zenon_intro zenon_H6cf ].
% 43.06/43.30 apply (zenon_L175_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6cf); [ zenon_intro zenon_H20f | zenon_intro zenon_H6d0 ].
% 43.06/43.30 apply (zenon_L176_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d0); [ zenon_intro zenon_H211 | zenon_intro zenon_H6d1 ].
% 43.06/43.30 apply (zenon_L177_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d1); [ zenon_intro zenon_H213 | zenon_intro zenon_H6d2 ].
% 43.06/43.30 apply (zenon_L178_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d2); [ zenon_intro zenon_H215 | zenon_intro zenon_H6d3 ].
% 43.06/43.30 apply (zenon_L179_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d3); [ zenon_intro zenon_H21a | zenon_intro zenon_H6d4 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H11a. zenon_intro zenon_H21b.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1e5. zenon_intro zenon_H1f.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_Hbf. zenon_intro zenon_H1e8.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H6d | zenon_intro zenon_H172 ].
% 43.06/43.30 apply (zenon_L180_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H76 | zenon_intro zenon_H173 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H83 | zenon_intro zenon_H10e ].
% 43.06/43.30 apply (zenon_L630_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H5b | zenon_intro zenon_H10f ].
% 43.06/43.30 apply (zenon_L17_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H94 | zenon_intro zenon_He4 ].
% 43.06/43.30 apply (zenon_L182_); trivial.
% 43.06/43.30 apply (zenon_L106_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H174 | zenon_intro zenon_H15c ].
% 43.06/43.30 apply (zenon_L156_); trivial.
% 43.06/43.30 apply (zenon_L643_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d4); [ zenon_intro zenon_H21d | zenon_intro zenon_H6d5 ].
% 43.06/43.30 apply (zenon_L185_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d5); [ zenon_intro zenon_H21f | zenon_intro zenon_H6d6 ].
% 43.06/43.30 apply (zenon_L186_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d6); [ zenon_intro zenon_H221 | zenon_intro zenon_H6d7 ].
% 43.06/43.30 apply (zenon_L187_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d7); [ zenon_intro zenon_H223 | zenon_intro zenon_H6d8 ].
% 43.06/43.30 apply (zenon_L188_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d8); [ zenon_intro zenon_H225 | zenon_intro zenon_H6d9 ].
% 43.06/43.30 apply (zenon_L189_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6d9); [ zenon_intro zenon_H227 | zenon_intro zenon_H6da ].
% 43.06/43.30 apply (zenon_L190_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6da); [ zenon_intro zenon_H229 | zenon_intro zenon_H6db ].
% 43.06/43.30 apply (zenon_L191_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6db); [ zenon_intro zenon_H22b | zenon_intro zenon_H6dc ].
% 43.06/43.30 apply (zenon_L192_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6dc); [ zenon_intro zenon_H234 | zenon_intro zenon_H6dd ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H234). zenon_intro zenon_H93. zenon_intro zenon_H236.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H144. zenon_intro zenon_H1d2.
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H83. zenon_intro zenon_Ha9.
% 43.06/43.30 apply (zenon_L631_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6dd); [ zenon_intro zenon_H239 | zenon_intro zenon_H6de ].
% 43.06/43.30 apply (zenon_L198_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6de); [ zenon_intro zenon_H23b | zenon_intro zenon_H6df ].
% 43.06/43.30 apply (zenon_L199_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6df); [ zenon_intro zenon_H23d | zenon_intro zenon_H6e0 ].
% 43.06/43.30 apply (zenon_L200_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e0); [ zenon_intro zenon_H23f | zenon_intro zenon_H6e1 ].
% 43.06/43.30 apply (zenon_L201_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e1); [ zenon_intro zenon_H242 | zenon_intro zenon_H6e2 ].
% 43.06/43.30 apply (zenon_L203_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e2); [ zenon_intro zenon_H244 | zenon_intro zenon_H6e3 ].
% 43.06/43.30 apply (zenon_L204_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e3); [ zenon_intro zenon_H246 | zenon_intro zenon_H6e4 ].
% 43.06/43.30 apply (zenon_L205_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e4); [ zenon_intro zenon_H248 | zenon_intro zenon_H6e5 ].
% 43.06/43.30 apply (zenon_L206_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e5); [ zenon_intro zenon_H24a | zenon_intro zenon_H6e6 ].
% 43.06/43.30 apply (zenon_L207_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e6); [ zenon_intro zenon_H24d | zenon_intro zenon_H6e7 ].
% 43.06/43.30 apply (zenon_L208_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e7); [ zenon_intro zenon_H24f | zenon_intro zenon_H6e8 ].
% 43.06/43.30 apply (zenon_L209_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e8); [ zenon_intro zenon_H254 | zenon_intro zenon_H6e9 ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H137. zenon_intro zenon_H255.
% 43.06/43.30 apply (zenon_L629_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6e9); [ zenon_intro zenon_H6eb | zenon_intro zenon_H6ea ].
% 43.06/43.30 apply (zenon_and_s _ _ zenon_H6eb). zenon_intro zenon_H137. zenon_intro zenon_H6ec.
% 43.06/43.30 apply (zenon_L629_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6ea); [ zenon_intro zenon_H48b | zenon_intro zenon_H6f7 ].
% 43.06/43.30 apply (zenon_L411_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6f7); [ zenon_intro zenon_H48d | zenon_intro zenon_H6f8 ].
% 43.06/43.30 apply (zenon_L412_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6f8); [ zenon_intro zenon_H48f | zenon_intro zenon_H6f9 ].
% 43.06/43.30 apply (zenon_L413_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6f9); [ zenon_intro zenon_H491 | zenon_intro zenon_H6fa ].
% 43.06/43.30 apply (zenon_L414_); trivial.
% 43.06/43.30 apply (zenon_or_s _ _ zenon_H6fa); [ zenon_intro zenon_H493 | zenon_intro zenon_H495 ].
% 43.06/43.30 apply (zenon_L415_); trivial.
% 43.06/43.30 apply (zenon_L416_); trivial.
% 43.06/43.30 apply (zenon_notand_s _ _ zenon_H729); [ zenon_intro zenon_H5a5 | zenon_intro zenon_H72a ].
% 43.06/43.30 apply (zenon_L645_); trivial.
% 43.06/43.30 apply (zenon_notand_s _ _ zenon_H72a); [ zenon_intro zenon_H72c | zenon_intro zenon_H72b ].
% 43.06/43.30 apply (zenon_notor_s _ _ zenon_H72c). zenon_intro zenon_H46a. zenon_intro zenon_H72d.
% 43.06/43.30 apply (zenon_L395_); trivial.
% 43.06/43.30 apply (zenon_notand_s _ _ zenon_H72b); [ zenon_intro zenon_H72f | zenon_intro zenon_H72e ].
% 43.06/43.30 apply (zenon_notor_s _ _ zenon_H72f). zenon_intro zenon_H731. zenon_intro zenon_H730.
% 43.06/43.30 apply (zenon_notor_s _ _ zenon_H730). zenon_intro zenon_H4a4. zenon_intro zenon_H732.
% 43.06/43.30 exact (zenon_H4a4 zenon_H497).
% 43.06/43.30 apply (zenon_notand_s _ _ zenon_H72e); [ zenon_intro zenon_H733 | zenon_intro zenon_H5ac ].
% 43.06/43.30 apply (zenon_notor_s _ _ zenon_H733). zenon_intro zenon_H735. zenon_intro zenon_H734.
% 43.06/43.30 apply (zenon_notor_s _ _ zenon_H734). zenon_intro zenon_H737. zenon_intro zenon_H736.
% 43.06/43.30 apply (zenon_notor_s _ _ zenon_H736). zenon_intro zenon_H4b8. zenon_intro zenon_H738.
% 43.06/43.30 apply (zenon_L434_); trivial.
% 43.06/43.30 apply (zenon_L646_); trivial.
% 43.06/43.30 Qed.
% 43.06/43.30 % SZS output end Proof
% 43.06/43.30 (* END-PROOF *)
% 43.06/43.30 nodes searched: 1628630
% 43.06/43.30 max branch formulas: 2255
% 43.06/43.30 proof nodes created: 25571
% 43.06/43.30 formulas created: 929722
% 43.06/43.30
%------------------------------------------------------------------------------