TSTP Solution File: ALG112+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG112+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n020.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 18:29:28 EDT 2022
% Result : Theorem 47.01s 47.20s
% Output : Proof 47.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG112+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 14:04:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 47.01/47.20 (* PROOF-FOUND *)
% 47.01/47.20 % SZS status Theorem
% 47.01/47.20 (* BEGIN-PROOF *)
% 47.01/47.20 % SZS output start Proof
% 47.01/47.20 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))))))))))))))))))))))))))).
% 47.01/47.20 Proof.
% 47.01/47.20 assert (zenon_L1_ : (~((h2 (e10)) = (e20))) -> ((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H12 zenon_H13 zenon_H14.
% 47.01/47.20 cut (((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) = ((h2 (e10)) = (e20))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H12.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H13.
% 47.01/47.20 cut (((op2 (op2 (e21) (e21)) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 47.01/47.20 cut (((h2 (e10)) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H16].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H16. apply refl_equal.
% 47.01/47.20 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 47.01/47.20 (* end of lemma zenon_L1_ *)
% 47.01/47.20 assert (zenon_L2_ : (~((e11) = (e11))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H17.
% 47.01/47.20 apply zenon_H17. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L2_ *)
% 47.01/47.20 assert (zenon_L3_ : (~((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H18 zenon_H19.
% 47.01/47.20 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H1a. apply sym_equal. exact zenon_H19.
% 47.01/47.20 apply zenon_H17. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L3_ *)
% 47.01/47.20 assert (zenon_L4_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e10)) -> ((e12) = (op1 (e11) (e11))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H1b zenon_H1c zenon_H1d zenon_H19.
% 47.01/47.20 cut (((e10) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H1b.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H1c.
% 47.01/47.20 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 47.01/47.20 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1e].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e10) = (op1 (e10) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H1e.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H1f.
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 47.01/47.20 cut (((op1 (e10) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H21 zenon_H1d).
% 47.01/47.20 apply zenon_H20. apply refl_equal.
% 47.01/47.20 apply zenon_H20. apply refl_equal.
% 47.01/47.20 apply (zenon_L3_); trivial.
% 47.01/47.20 (* end of lemma zenon_L4_ *)
% 47.01/47.20 assert (zenon_L5_ : ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H22 zenon_H23 zenon_H24.
% 47.01/47.20 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 47.01/47.20 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H24.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H25.
% 47.01/47.20 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.20 cut (((op1 (e10) (e12)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e10) (e12)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e10) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H27.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H22.
% 47.01/47.20 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 47.01/47.20 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H26. apply refl_equal.
% 47.01/47.20 apply zenon_H28. apply sym_equal. exact zenon_H23.
% 47.01/47.20 apply zenon_H26. apply refl_equal.
% 47.01/47.20 apply zenon_H26. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L5_ *)
% 47.01/47.20 assert (zenon_L6_ : (~((op1 (e11) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e11) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H29 zenon_H1c.
% 47.01/47.20 cut (((op1 (op1 (e11) (e11)) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a].
% 47.01/47.20 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H17. apply refl_equal.
% 47.01/47.20 apply zenon_H2a. apply sym_equal. exact zenon_H1c.
% 47.01/47.20 (* end of lemma zenon_L6_ *)
% 47.01/47.20 assert (zenon_L7_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e10) (e10)) = (e13)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H2b zenon_H2c zenon_H2d zenon_H1c.
% 47.01/47.20 cut (((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H2b.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H2c.
% 47.01/47.20 cut (((op1 (e11) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 47.01/47.20 cut (((e13) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 47.01/47.20 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e13) = (op1 (e10) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H2e.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H2f.
% 47.01/47.20 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 47.01/47.20 cut (((op1 (e10) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H31].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H31 zenon_H2d).
% 47.01/47.20 apply zenon_H30. apply refl_equal.
% 47.01/47.20 apply zenon_H30. apply refl_equal.
% 47.01/47.20 apply (zenon_L6_); trivial.
% 47.01/47.20 (* end of lemma zenon_L7_ *)
% 47.01/47.20 assert (zenon_L8_ : (~((e10) = (e10))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H32.
% 47.01/47.20 apply zenon_H32. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L8_ *)
% 47.01/47.20 assert (zenon_L9_ : ((op1 (e11) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e10) = (e13))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H33 zenon_H34 zenon_H35.
% 47.01/47.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.01/47.20 cut (((e13) = (e13)) = ((e10) = (e13))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H35.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H36.
% 47.01/47.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.01/47.20 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e11) (e10)) = (e10)) = ((e13) = (e10))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H38.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H33.
% 47.01/47.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.01/47.20 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H39 zenon_H34).
% 47.01/47.20 apply zenon_H32. apply refl_equal.
% 47.01/47.20 apply zenon_H37. apply refl_equal.
% 47.01/47.20 apply zenon_H37. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L9_ *)
% 47.01/47.20 assert (zenon_L10_ : ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e12) (e10)) = (e13)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H2c zenon_H3a zenon_H1c zenon_H3b.
% 47.01/47.20 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H3c | zenon_intro zenon_H3d ].
% 47.01/47.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H3b.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H3c.
% 47.01/47.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 47.01/47.20 cut (((op1 (e12) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e12) (e10)) = (op1 (e11) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H3e.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H2c.
% 47.01/47.20 cut (((op1 (e11) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 47.01/47.20 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H3c | zenon_intro zenon_H3d ].
% 47.01/47.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e13) = (op1 (e12) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H3f.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H3c.
% 47.01/47.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 47.01/47.20 cut (((op1 (e12) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H40 zenon_H3a).
% 47.01/47.20 apply zenon_H3d. apply refl_equal.
% 47.01/47.20 apply zenon_H3d. apply refl_equal.
% 47.01/47.20 apply (zenon_L6_); trivial.
% 47.01/47.20 apply zenon_H3d. apply refl_equal.
% 47.01/47.20 apply zenon_H3d. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L10_ *)
% 47.01/47.20 assert (zenon_L11_ : ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H2c zenon_H41 zenon_H1c zenon_H42.
% 47.01/47.20 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 47.01/47.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H42.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H43.
% 47.01/47.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 47.01/47.20 cut (((op1 (e13) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e13) (e10)) = (op1 (e11) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H45.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H2c.
% 47.01/47.20 cut (((op1 (e11) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 47.01/47.20 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H43 | zenon_intro zenon_H44 ].
% 47.01/47.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e13) = (op1 (e13) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H46.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H43.
% 47.01/47.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 47.01/47.20 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H47 zenon_H41).
% 47.01/47.20 apply zenon_H44. apply refl_equal.
% 47.01/47.20 apply zenon_H44. apply refl_equal.
% 47.01/47.20 apply (zenon_L6_); trivial.
% 47.01/47.20 apply zenon_H44. apply refl_equal.
% 47.01/47.20 apply zenon_H44. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L11_ *)
% 47.01/47.20 assert (zenon_L12_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e13))) -> ((op1 (e11) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H48 zenon_H2b zenon_H35 zenon_H33 zenon_H3b zenon_H2c zenon_H1c zenon_H42.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.01/47.20 apply (zenon_L7_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.01/47.20 apply (zenon_L9_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.01/47.20 apply (zenon_L10_); trivial.
% 47.01/47.20 apply (zenon_L11_); trivial.
% 47.01/47.20 (* end of lemma zenon_L12_ *)
% 47.01/47.20 assert (zenon_L13_ : (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e10)) = (e10)) -> ((e12) = (op1 (e11) (e11))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H4b zenon_H1c zenon_H4c zenon_H19.
% 47.01/47.20 cut (((e10) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H4b.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H1c.
% 47.01/47.20 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 47.01/47.20 cut (((e10) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4d].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H3c | zenon_intro zenon_H3d ].
% 47.01/47.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((e10) = (op1 (e12) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H4d.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H3c.
% 47.01/47.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 47.01/47.20 cut (((op1 (e12) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H4e zenon_H4c).
% 47.01/47.20 apply zenon_H3d. apply refl_equal.
% 47.01/47.20 apply zenon_H3d. apply refl_equal.
% 47.01/47.20 apply (zenon_L3_); trivial.
% 47.01/47.20 (* end of lemma zenon_L13_ *)
% 47.01/47.20 assert (zenon_L14_ : ((op1 (e10) (e10)) = (e11)) -> ((op1 (e10) (e10)) = (e12)) -> (~((e11) = (e12))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H4f zenon_H50 zenon_H51.
% 47.01/47.20 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.01/47.20 cut (((e12) = (e12)) = ((e11) = (e12))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H51.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H52.
% 47.01/47.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.20 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e10) (e10)) = (e11)) = ((e12) = (e11))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H54.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H4f.
% 47.01/47.20 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.01/47.20 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H55 zenon_H50).
% 47.01/47.20 apply zenon_H17. apply refl_equal.
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L14_ *)
% 47.01/47.20 assert (zenon_L15_ : (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (e11)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H56 zenon_H19 zenon_H57.
% 47.01/47.20 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H56.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H19.
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.01/47.20 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e12) = (op1 (e10) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H59.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H1f.
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 47.01/47.20 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H5a zenon_H57).
% 47.01/47.20 apply zenon_H20. apply refl_equal.
% 47.01/47.20 apply zenon_H20. apply refl_equal.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L15_ *)
% 47.01/47.20 assert (zenon_L16_ : ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> (~((e10) = (e12))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H22 zenon_H5b zenon_H5c.
% 47.01/47.20 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.01/47.20 cut (((e12) = (e12)) = ((e10) = (e12))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H5c.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H52.
% 47.01/47.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.20 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e10) (e12)) = (e10)) = ((e12) = (e10))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H5d.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H22.
% 47.01/47.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.01/47.20 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H5e zenon_H5b).
% 47.01/47.20 apply zenon_H32. apply refl_equal.
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L16_ *)
% 47.01/47.20 assert (zenon_L17_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H1b zenon_H5f zenon_H60.
% 47.01/47.20 cut (((op1 (e10) (e11)) = (e13)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H1b.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H5f.
% 47.01/47.20 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H20. apply refl_equal.
% 47.01/47.20 apply zenon_H61. apply sym_equal. exact zenon_H60.
% 47.01/47.20 (* end of lemma zenon_L17_ *)
% 47.01/47.20 assert (zenon_L18_ : ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e13)) = (e10)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H1c zenon_H62 zenon_H19 zenon_H63.
% 47.01/47.20 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H64 | zenon_intro zenon_H65 ].
% 47.01/47.20 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H63.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H64.
% 47.01/47.20 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 47.01/47.20 cut (((op1 (e12) (e13)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e10) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e13)) = (op1 (e12) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H66.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H1c.
% 47.01/47.20 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 47.01/47.20 cut (((e10) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H64 | zenon_intro zenon_H65 ].
% 47.01/47.20 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e10) = (op1 (e12) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H67.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H64.
% 47.01/47.20 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 47.01/47.20 cut (((op1 (e12) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H68 zenon_H62).
% 47.01/47.20 apply zenon_H65. apply refl_equal.
% 47.01/47.20 apply zenon_H65. apply refl_equal.
% 47.01/47.20 apply (zenon_L3_); trivial.
% 47.01/47.20 apply zenon_H65. apply refl_equal.
% 47.01/47.20 apply zenon_H65. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L18_ *)
% 47.01/47.20 assert (zenon_L19_ : ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e13) (e11)) = (e10)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H1c zenon_H69 zenon_H19 zenon_H6a.
% 47.01/47.20 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e12) (e11)) = (op1 (e13) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H6a.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H6b.
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e10) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e13) (e11)) = (op1 (e12) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H6d.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H1c.
% 47.01/47.20 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 47.01/47.20 cut (((e10) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e10) = (op1 (e13) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H6e.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H6b.
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 47.01/47.20 cut (((op1 (e13) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H6f zenon_H69).
% 47.01/47.20 apply zenon_H6c. apply refl_equal.
% 47.01/47.20 apply zenon_H6c. apply refl_equal.
% 47.01/47.20 apply (zenon_L3_); trivial.
% 47.01/47.20 apply zenon_H6c. apply refl_equal.
% 47.01/47.20 apply zenon_H6c. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L19_ *)
% 47.01/47.20 assert (zenon_L20_ : (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (e10))/\(((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e11))/\(((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (e12))/\((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H70 zenon_H2b zenon_H71 zenon_H34.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 47.01/47.20 cut (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e13)) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H2b.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H76.
% 47.01/47.20 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 47.01/47.20 cut (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 47.01/47.20 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (op1 (e10) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H79.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H2f.
% 47.01/47.20 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 47.01/47.20 cut (((op1 (e10) (e10)) = (op1 (op1 (e13) (e10)) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H7a].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 47.01/47.20 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H7b. apply sym_equal. exact zenon_H71.
% 47.01/47.20 apply zenon_H7b. apply sym_equal. exact zenon_H71.
% 47.01/47.20 apply zenon_H30. apply refl_equal.
% 47.01/47.20 apply zenon_H30. apply refl_equal.
% 47.01/47.20 apply zenon_H78. apply sym_equal. exact zenon_H34.
% 47.01/47.20 (* end of lemma zenon_L20_ *)
% 47.01/47.20 assert (zenon_L21_ : (((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (e10))/\(((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (e11))/\(((op1 (op1 (e12) (e11)) (op1 (e12) (e11))) = (e12))/\((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (e13))))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H7c zenon_H7d zenon_H5f zenon_H56.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 47.01/47.20 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H84 | zenon_intro zenon_H58 ].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e10) (e11)) = (op1 (e11) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H56.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H84.
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H85].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (e13)) = ((op1 (e11) (e11)) = (op1 (e10) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H85.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H82.
% 47.01/47.20 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H86].
% 47.01/47.20 cut (((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H84 | zenon_intro zenon_H58 ].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (op1 (e11) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H87.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H84.
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (op1 (e13) (e11)) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 47.01/47.20 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H89. apply sym_equal. exact zenon_H7d.
% 47.01/47.20 apply zenon_H89. apply sym_equal. exact zenon_H7d.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply zenon_H86. apply sym_equal. exact zenon_H5f.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L21_ *)
% 47.01/47.20 assert (zenon_L22_ : (~((op1 (e13) (e13)) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12))))) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H8a zenon_H8b.
% 47.01/47.20 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 47.01/47.20 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H8c. apply sym_equal. exact zenon_H8b.
% 47.01/47.20 apply zenon_H8c. apply sym_equal. exact zenon_H8b.
% 47.01/47.20 (* end of lemma zenon_L22_ *)
% 47.01/47.20 assert (zenon_L23_ : (((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (e10))/\(((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (e11))/\(((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12))/\((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e13))))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H8d zenon_H8b zenon_H8e zenon_H8f.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H95. zenon_intro zenon_H94.
% 47.01/47.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H8f.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H96.
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H98.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H95.
% 47.01/47.20 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 47.01/47.20 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H9a.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H96.
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 47.01/47.20 congruence.
% 47.01/47.20 apply (zenon_L22_); trivial.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H99. apply sym_equal. exact zenon_H8e.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L23_ *)
% 47.01/47.20 assert (zenon_L24_ : (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e10))/\(((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e11))/\(((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H9b zenon_H8e zenon_H22 zenon_H9c.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 47.01/47.20 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H9c.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H9f.
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha1].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e10)) = ((op1 (e12) (e12)) = (op1 (e10) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Ha1.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H9e.
% 47.01/47.20 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 47.01/47.20 cut (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (op1 (e12) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Ha3.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H9f.
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (op1 (e10) (e13)) (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 47.01/47.20 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H99. apply sym_equal. exact zenon_H8e.
% 47.01/47.20 apply zenon_H99. apply sym_equal. exact zenon_H8e.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Ha2. apply sym_equal. exact zenon_H22.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L24_ *)
% 47.01/47.20 assert (zenon_L25_ : ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_H8f zenon_H8b zenon_H8e zenon_H22 zenon_H9c.
% 47.01/47.20 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.01/47.20 apply (zenon_L20_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.01/47.20 apply (zenon_L21_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.01/47.20 apply (zenon_L23_); trivial.
% 47.01/47.20 apply (zenon_L24_); trivial.
% 47.01/47.20 (* end of lemma zenon_L25_ *)
% 47.01/47.20 assert (zenon_L26_ : ((op1 (e12) (e13)) = (e11)) -> ((op1 (e12) (e13)) = (e13)) -> (~((e11) = (e13))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Ha7 zenon_Ha8 zenon_Ha9.
% 47.01/47.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.01/47.20 cut (((e13) = (e13)) = ((e11) = (e13))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Ha9.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H36.
% 47.01/47.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.01/47.20 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e12) (e13)) = (e11)) = ((e13) = (e11))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Haa.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Ha7.
% 47.01/47.20 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.01/47.20 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_Hab zenon_Ha8).
% 47.01/47.20 apply zenon_H17. apply refl_equal.
% 47.01/47.20 apply zenon_H37. apply refl_equal.
% 47.01/47.20 apply zenon_H37. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L26_ *)
% 47.01/47.20 assert (zenon_L27_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> (~((e11) = (e13))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hac zenon_H3b zenon_H1c zenon_H2c zenon_H1b zenon_H9c zenon_H22 zenon_H8e zenon_H8f zenon_H7d zenon_H5f zenon_H56 zenon_H2b zenon_H71 zenon_H34 zenon_Ha7 zenon_Ha9.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.01/47.20 apply (zenon_L10_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.01/47.20 apply (zenon_L17_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.01/47.20 apply (zenon_L25_); trivial.
% 47.01/47.20 apply (zenon_L26_); trivial.
% 47.01/47.20 (* end of lemma zenon_L27_ *)
% 47.01/47.20 assert (zenon_L28_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H19 zenon_Haf zenon_Hb0.
% 47.01/47.20 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hb0.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H6b.
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e13) (e11)) = (op1 (e11) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hb1.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H19.
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.01/47.20 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb2].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((e12) = (op1 (e13) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hb2.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H6b.
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 47.01/47.20 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_Hb3 zenon_Haf).
% 47.01/47.20 apply zenon_H6c. apply refl_equal.
% 47.01/47.20 apply zenon_H6c. apply refl_equal.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply zenon_H6c. apply refl_equal.
% 47.01/47.20 apply zenon_H6c. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L28_ *)
% 47.01/47.20 assert (zenon_L29_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hb4 zenon_H5f zenon_Hb5.
% 47.01/47.20 cut (((op1 (e10) (e11)) = (e13)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hb4.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H5f.
% 47.01/47.20 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H20. apply refl_equal.
% 47.01/47.20 apply zenon_Hb6. apply sym_equal. exact zenon_Hb5.
% 47.01/47.20 (* end of lemma zenon_L29_ *)
% 47.01/47.20 assert (zenon_L30_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hb7 zenon_H8e zenon_Hb8.
% 47.01/47.20 cut (((op1 (e10) (e13)) = (e12)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hb7.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H8e.
% 47.01/47.20 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 47.01/47.20 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_Hba. apply refl_equal.
% 47.01/47.20 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 47.01/47.20 (* end of lemma zenon_L30_ *)
% 47.01/47.20 assert (zenon_L31_ : ((op1 (e10) (e12)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e10) = (e13))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H22 zenon_Hbb zenon_H35.
% 47.01/47.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.01/47.20 cut (((e13) = (e13)) = ((e10) = (e13))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H35.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H36.
% 47.01/47.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.01/47.20 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e10) (e12)) = (e10)) = ((e13) = (e10))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H38.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H22.
% 47.01/47.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.01/47.20 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_Hbc zenon_Hbb).
% 47.01/47.20 apply zenon_H32. apply refl_equal.
% 47.01/47.20 apply zenon_H37. apply refl_equal.
% 47.01/47.20 apply zenon_H37. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L31_ *)
% 47.01/47.20 assert (zenon_L32_ : ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e11) (e12)) = (e13)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H2c zenon_Hbd zenon_H1c zenon_Hbe.
% 47.01/47.20 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc0 ].
% 47.01/47.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hbe.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hbf.
% 47.01/47.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 47.01/47.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e11) (e12)) = (op1 (e11) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hc1.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H2c.
% 47.01/47.20 cut (((op1 (e11) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 47.01/47.20 cut (((e13) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc0 ].
% 47.01/47.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e13) = (op1 (e11) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hc2.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hbf.
% 47.01/47.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 47.01/47.20 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hc3].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_Hc3 zenon_Hbd).
% 47.01/47.20 apply zenon_Hc0. apply refl_equal.
% 47.01/47.20 apply zenon_Hc0. apply refl_equal.
% 47.01/47.20 apply (zenon_L6_); trivial.
% 47.01/47.20 apply zenon_Hc0. apply refl_equal.
% 47.01/47.20 apply zenon_Hc0. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L32_ *)
% 47.01/47.20 assert (zenon_L33_ : (((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (e10))/\(((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (e11))/\(((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12))/\((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e13))))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H8d zenon_Hc4 zenon_Ha8 zenon_Hc5.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H95. zenon_intro zenon_H94.
% 47.01/47.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hc5.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H96.
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hc6.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H94.
% 47.01/47.20 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 47.01/47.20 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hc8.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H96.
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (op1 (e13) (e12)) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 47.01/47.20 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_Hca. apply sym_equal. exact zenon_Hc4.
% 47.01/47.20 apply zenon_Hca. apply sym_equal. exact zenon_Hc4.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_Hc7. apply sym_equal. exact zenon_Ha8.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L33_ *)
% 47.01/47.20 assert (zenon_L34_ : ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_Ha8 zenon_Hc4 zenon_H8e zenon_H22 zenon_H9c.
% 47.01/47.20 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.01/47.20 apply (zenon_L20_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.01/47.20 apply (zenon_L21_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.01/47.20 apply (zenon_L33_); trivial.
% 47.01/47.20 apply (zenon_L24_); trivial.
% 47.01/47.20 (* end of lemma zenon_L34_ *)
% 47.01/47.20 assert (zenon_L35_ : (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hcb zenon_H35 zenon_Hbe zenon_H1c zenon_H2c zenon_H8f zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_Ha8 zenon_H8e zenon_H22 zenon_H9c.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hcc ].
% 47.01/47.20 apply (zenon_L31_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hcd ].
% 47.01/47.20 apply (zenon_L32_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc4 ].
% 47.01/47.20 apply (zenon_L25_); trivial.
% 47.01/47.20 apply (zenon_L34_); trivial.
% 47.01/47.20 (* end of lemma zenon_L35_ *)
% 47.01/47.20 assert (zenon_L36_ : (~((op1 (e13) (e13)) = (op1 (op1 (e13) (e11)) (op1 (e13) (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hce zenon_Hb5.
% 47.01/47.20 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 47.01/47.20 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_Hb6. apply sym_equal. exact zenon_Hb5.
% 47.01/47.20 apply zenon_Hb6. apply sym_equal. exact zenon_Hb5.
% 47.01/47.20 (* end of lemma zenon_L36_ *)
% 47.01/47.20 assert (zenon_L37_ : (((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (e10))/\(((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (e11))/\(((op1 (op1 (e12) (e11)) (op1 (e12) (e11))) = (e12))/\((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H7c zenon_Hb5 zenon_Ha8 zenon_Hc5.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 47.01/47.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hc5.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H96.
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hc6.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H82.
% 47.01/47.20 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 47.01/47.20 cut (((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hcf.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H96.
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (op1 (e13) (e11)) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 47.01/47.20 congruence.
% 47.01/47.20 apply (zenon_L36_); trivial.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_Hc7. apply sym_equal. exact zenon_Ha8.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L37_ *)
% 47.01/47.20 assert (zenon_L38_ : ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Ha8 zenon_Hb5 zenon_H8f zenon_H8b zenon_H8e zenon_H22 zenon_H9c.
% 47.01/47.20 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.01/47.20 apply (zenon_L20_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.01/47.20 apply (zenon_L37_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.01/47.20 apply (zenon_L23_); trivial.
% 47.01/47.20 apply (zenon_L24_); trivial.
% 47.01/47.20 (* end of lemma zenon_L38_ *)
% 47.01/47.20 assert (zenon_L39_ : (((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)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hd0 zenon_H6a zenon_H5f zenon_H56 zenon_H2c zenon_H1c zenon_Hbe zenon_H35 zenon_Hcb zenon_Hb0 zenon_H19 zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Ha8 zenon_H8f zenon_H8b zenon_H8e zenon_H22 zenon_H9c.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.01/47.20 apply (zenon_L19_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.01/47.20 apply (zenon_L35_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.01/47.20 apply (zenon_L28_); trivial.
% 47.01/47.20 apply (zenon_L38_); trivial.
% 47.01/47.20 (* end of lemma zenon_L39_ *)
% 47.01/47.20 assert (zenon_L40_ : (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hb4 zenon_Hd3 zenon_H7d.
% 47.01/47.20 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hb4.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hd3.
% 47.01/47.20 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H20. apply refl_equal.
% 47.01/47.20 apply zenon_H89. apply sym_equal. exact zenon_H7d.
% 47.01/47.20 (* end of lemma zenon_L40_ *)
% 47.01/47.20 assert (zenon_L41_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hd4 zenon_H1c zenon_H7d zenon_Hb4 zenon_H19 zenon_H56 zenon_H1b zenon_H60.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hd5 ].
% 47.01/47.20 apply (zenon_L4_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd6 ].
% 47.01/47.20 apply (zenon_L40_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H57 | zenon_intro zenon_H5f ].
% 47.01/47.20 apply (zenon_L15_); trivial.
% 47.01/47.20 apply (zenon_L17_); trivial.
% 47.01/47.20 (* end of lemma zenon_L41_ *)
% 47.01/47.20 assert (zenon_L42_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hac zenon_H3b zenon_H1b zenon_H19 zenon_Hb4 zenon_Hd4 zenon_Hcb zenon_H35 zenon_Hbe zenon_H1c zenon_H2c zenon_H8f zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_H8e zenon_H22 zenon_H9c.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.01/47.20 apply (zenon_L10_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.01/47.20 apply (zenon_L41_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.01/47.20 apply (zenon_L25_); trivial.
% 47.01/47.20 apply (zenon_L35_); trivial.
% 47.01/47.20 (* end of lemma zenon_L42_ *)
% 47.01/47.20 assert (zenon_L43_ : (~((e12) = (e12))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H53.
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L43_ *)
% 47.01/47.20 assert (zenon_L44_ : ((op1 (e10) (e13)) = (e12)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e12) = (e13))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H8e zenon_Hd7 zenon_Hd8.
% 47.01/47.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.01/47.20 cut (((e13) = (e13)) = ((e12) = (e13))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hd8.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H36.
% 47.01/47.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.01/47.20 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e10) (e13)) = (e12)) = ((e13) = (e12))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hd9.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H8e.
% 47.01/47.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.20 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hda].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_Hda zenon_Hd7).
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 apply zenon_H37. apply refl_equal.
% 47.01/47.20 apply zenon_H37. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L44_ *)
% 47.01/47.20 assert (zenon_L45_ : ((op1 (e10) (e11)) = (e11)) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hd3 zenon_H4f zenon_Hdb.
% 47.01/47.20 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H1f | zenon_intro zenon_H20 ].
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hdb.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H1f.
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hdc].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e10) (e11)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e10) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hdc.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hd3.
% 47.01/47.20 cut (((e11) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 47.01/47.20 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H20. apply refl_equal.
% 47.01/47.20 apply zenon_Hdd. apply sym_equal. exact zenon_H4f.
% 47.01/47.20 apply zenon_H20. apply refl_equal.
% 47.01/47.20 apply zenon_H20. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L45_ *)
% 47.01/47.20 assert (zenon_L46_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e11) (e12)) = (e10)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hde zenon_H22 zenon_Hdf.
% 47.01/47.20 cut (((op1 (e10) (e12)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hde.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H22.
% 47.01/47.20 cut (((e10) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He0].
% 47.01/47.20 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H26. apply refl_equal.
% 47.01/47.20 apply zenon_He0. apply sym_equal. exact zenon_Hdf.
% 47.01/47.20 (* end of lemma zenon_L46_ *)
% 47.01/47.20 assert (zenon_L47_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hbe zenon_He1 zenon_He2.
% 47.01/47.20 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hbe.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_He1.
% 47.01/47.20 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 47.01/47.20 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_He4. apply refl_equal.
% 47.01/47.20 apply zenon_He3. apply sym_equal. exact zenon_He2.
% 47.01/47.20 (* end of lemma zenon_L47_ *)
% 47.01/47.20 assert (zenon_L48_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H19 zenon_He5 zenon_He6.
% 47.01/47.20 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc0 ].
% 47.01/47.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_He6.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hbf.
% 47.01/47.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 47.01/47.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_He7].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e11) (e12)) = (op1 (e11) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_He7.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H19.
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.01/47.20 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He8].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc0 ].
% 47.01/47.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((e12) = (op1 (e11) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_He8.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hbf.
% 47.01/47.20 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 47.01/47.20 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_He9].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_He9 zenon_He5).
% 47.01/47.20 apply zenon_Hc0. apply refl_equal.
% 47.01/47.20 apply zenon_Hc0. apply refl_equal.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply zenon_Hc0. apply refl_equal.
% 47.01/47.20 apply zenon_Hc0. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L48_ *)
% 47.01/47.20 assert (zenon_L49_ : (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hea zenon_H22 zenon_Hde zenon_He1 zenon_He6 zenon_H19 zenon_H2c zenon_H1c zenon_Hbe.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hdf | zenon_intro zenon_Heb ].
% 47.01/47.20 apply (zenon_L46_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He2 | zenon_intro zenon_Hec ].
% 47.01/47.20 apply (zenon_L47_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_He5 | zenon_intro zenon_Hbd ].
% 47.01/47.20 apply (zenon_L48_); trivial.
% 47.01/47.20 apply (zenon_L32_); trivial.
% 47.01/47.20 (* end of lemma zenon_L49_ *)
% 47.01/47.20 assert (zenon_L50_ : ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e10)) = (e12)) -> (~((e11) = (e12))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hed zenon_Hee zenon_H51.
% 47.01/47.20 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.01/47.20 cut (((e12) = (e12)) = ((e11) = (e12))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H51.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H52.
% 47.01/47.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.20 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e12) (e10)) = (e11)) = ((e12) = (e11))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H54.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hed.
% 47.01/47.20 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.01/47.20 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_Hef zenon_Hee).
% 47.01/47.20 apply zenon_H17. apply refl_equal.
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L50_ *)
% 47.01/47.20 assert (zenon_L51_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H19 zenon_Hf0 zenon_Hf1.
% 47.01/47.20 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf3 ].
% 47.01/47.20 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hf1.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hf2.
% 47.01/47.20 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf3].
% 47.01/47.20 cut (((op1 (e12) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e12) (e11)) = (op1 (e11) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hf4.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H19.
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.01/47.20 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf5].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf3 ].
% 47.01/47.20 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e12) = (op1 (e12) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hf5.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hf2.
% 47.01/47.20 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf3].
% 47.01/47.20 cut (((op1 (e12) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf6].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_Hf6 zenon_Hf0).
% 47.01/47.20 apply zenon_Hf3. apply refl_equal.
% 47.01/47.20 apply zenon_Hf3. apply refl_equal.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply zenon_Hf3. apply refl_equal.
% 47.01/47.20 apply zenon_Hf3. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L51_ *)
% 47.01/47.20 assert (zenon_L52_ : ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e12)) -> (~((e10) = (e12))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H71 zenon_Hf7 zenon_H5c.
% 47.01/47.20 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.01/47.20 cut (((e12) = (e12)) = ((e10) = (e12))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H5c.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H52.
% 47.01/47.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.20 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e13) (e10)) = (e10)) = ((e12) = (e10))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H5d.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H71.
% 47.01/47.20 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.01/47.20 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_Hf8 zenon_Hf7).
% 47.01/47.20 apply zenon_H32. apply refl_equal.
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L52_ *)
% 47.01/47.20 assert (zenon_L53_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hf9 zenon_Hfa zenon_Hfb.
% 47.01/47.20 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hf9.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hfa.
% 47.01/47.20 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Hfc. apply sym_equal. exact zenon_Hfb.
% 47.01/47.20 (* end of lemma zenon_L53_ *)
% 47.01/47.20 assert (zenon_L54_ : (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hfd zenon_Hed zenon_Ha7.
% 47.01/47.20 cut (((op1 (e12) (e10)) = (e11)) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hfd.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hed.
% 47.01/47.20 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 47.01/47.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H3d. apply refl_equal.
% 47.01/47.20 apply zenon_Hfe. apply sym_equal. exact zenon_Ha7.
% 47.01/47.20 (* end of lemma zenon_L54_ *)
% 47.01/47.20 assert (zenon_L55_ : (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hc5 zenon_Hb8 zenon_Hff.
% 47.01/47.20 cut (((op1 (e12) (e13)) = (e12)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hc5.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hb8.
% 47.01/47.20 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 47.01/47.20 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H65].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H65. apply refl_equal.
% 47.01/47.20 apply zenon_H100. apply sym_equal. exact zenon_Hff.
% 47.01/47.20 (* end of lemma zenon_L55_ *)
% 47.01/47.20 assert (zenon_L56_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H101 zenon_H71 zenon_H102.
% 47.01/47.20 cut (((op1 (e13) (e10)) = (e10)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H101.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H71.
% 47.01/47.20 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 47.01/47.20 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H44. apply refl_equal.
% 47.01/47.20 apply zenon_H103. apply sym_equal. exact zenon_H102.
% 47.01/47.20 (* end of lemma zenon_L56_ *)
% 47.01/47.20 assert (zenon_L57_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H104 zenon_H7d zenon_H105.
% 47.01/47.20 cut (((op1 (e13) (e11)) = (e11)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H104.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H7d.
% 47.01/47.20 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 47.01/47.20 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H6c. apply refl_equal.
% 47.01/47.20 apply zenon_H106. apply sym_equal. exact zenon_H105.
% 47.01/47.20 (* end of lemma zenon_L57_ *)
% 47.01/47.20 assert (zenon_L58_ : (~((op1 (e12) (e12)) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H107 zenon_Hff.
% 47.01/47.20 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 47.01/47.20 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H100].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H100. apply sym_equal. exact zenon_Hff.
% 47.01/47.20 apply zenon_H100. apply sym_equal. exact zenon_Hff.
% 47.01/47.20 (* end of lemma zenon_L58_ *)
% 47.01/47.20 assert (zenon_L59_ : (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e10))/\(((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e11))/\(((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H9b zenon_Hf9 zenon_Hff zenon_Hc4.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 47.01/47.20 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hf9.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H10a.
% 47.01/47.20 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 47.01/47.20 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H10c].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e12) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H10c.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H9f.
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 47.01/47.20 congruence.
% 47.01/47.20 apply (zenon_L58_); trivial.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Hca. apply sym_equal. exact zenon_Hc4.
% 47.01/47.20 (* end of lemma zenon_L59_ *)
% 47.01/47.20 assert (zenon_L60_ : ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_Ha8 zenon_Hf9 zenon_Hff zenon_Hc4.
% 47.01/47.20 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.01/47.20 apply (zenon_L20_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.01/47.20 apply (zenon_L21_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.01/47.20 apply (zenon_L33_); trivial.
% 47.01/47.20 apply (zenon_L59_); trivial.
% 47.01/47.20 (* end of lemma zenon_L60_ *)
% 47.01/47.20 assert (zenon_L61_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H10d zenon_H101 zenon_H104 zenon_Hfa zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_Ha8 zenon_Hf9 zenon_Hff.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H10e ].
% 47.01/47.20 apply (zenon_L56_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H105 | zenon_intro zenon_H10f ].
% 47.01/47.20 apply (zenon_L57_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hc4 ].
% 47.01/47.20 apply (zenon_L53_); trivial.
% 47.01/47.20 apply (zenon_L60_); trivial.
% 47.01/47.20 (* end of lemma zenon_L61_ *)
% 47.01/47.20 assert (zenon_L62_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H110 zenon_H63 zenon_H19 zenon_H1c zenon_Hed zenon_Hfd zenon_H10d zenon_H101 zenon_H104 zenon_Hfa zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_Hf9 zenon_Hff.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H62 | zenon_intro zenon_H111 ].
% 47.01/47.20 apply (zenon_L18_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H112 ].
% 47.01/47.20 apply (zenon_L54_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Ha8 ].
% 47.01/47.20 apply (zenon_L55_); trivial.
% 47.01/47.20 apply (zenon_L61_); trivial.
% 47.01/47.20 (* end of lemma zenon_L62_ *)
% 47.01/47.20 assert (zenon_L63_ : (((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (e10))/\(((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (e11))/\(((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12))/\((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H8d zenon_Hb0 zenon_H105 zenon_Hb5.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H95. zenon_intro zenon_H94.
% 47.01/47.20 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e13)) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hb0.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H94.
% 47.01/47.20 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 47.01/47.20 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H113].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H84 | zenon_intro zenon_H58 ].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e11) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H113.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H84.
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (op1 (e13) (e12)) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H114].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 47.01/47.20 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H106. apply sym_equal. exact zenon_H105.
% 47.01/47.20 apply zenon_H106. apply sym_equal. exact zenon_H105.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply zenon_Hb6. apply sym_equal. exact zenon_Hb5.
% 47.01/47.20 (* end of lemma zenon_L63_ *)
% 47.01/47.20 assert (zenon_L64_ : (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e10))/\(((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e11))/\(((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H9b zenon_H115 zenon_Hff zenon_Ha8.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 47.01/47.20 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13)) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H115.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H10a.
% 47.01/47.20 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 47.01/47.20 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H10c].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e12) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H10c.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H9f.
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 47.01/47.20 congruence.
% 47.01/47.20 apply (zenon_L58_); trivial.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Hc7. apply sym_equal. exact zenon_Ha8.
% 47.01/47.20 (* end of lemma zenon_L64_ *)
% 47.01/47.20 assert (zenon_L65_ : ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Hb5 zenon_H105 zenon_Hb0 zenon_H115 zenon_Hff zenon_Ha8.
% 47.01/47.20 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.01/47.20 apply (zenon_L20_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.01/47.20 apply (zenon_L37_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.01/47.20 apply (zenon_L63_); trivial.
% 47.01/47.20 apply (zenon_L64_); trivial.
% 47.01/47.20 (* end of lemma zenon_L65_ *)
% 47.01/47.20 assert (zenon_L66_ : ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H34 zenon_H71 zenon_H2b zenon_Hb5 zenon_Hc5 zenon_Ha8 zenon_Hf9 zenon_Hff zenon_Hc4.
% 47.01/47.20 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.01/47.20 apply (zenon_L20_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.01/47.20 apply (zenon_L37_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.01/47.20 apply (zenon_L33_); trivial.
% 47.01/47.20 apply (zenon_L59_); trivial.
% 47.01/47.20 (* end of lemma zenon_L66_ *)
% 47.01/47.20 assert (zenon_L67_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_Hfa zenon_H34 zenon_H71 zenon_H2b zenon_Hb5 zenon_Hc5 zenon_Ha8 zenon_Hf9 zenon_Hff.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H10e ].
% 47.01/47.20 apply (zenon_L56_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H105 | zenon_intro zenon_H10f ].
% 47.01/47.20 apply (zenon_L65_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hc4 ].
% 47.01/47.20 apply (zenon_L53_); trivial.
% 47.01/47.20 apply (zenon_L66_); trivial.
% 47.01/47.20 (* end of lemma zenon_L67_ *)
% 47.01/47.20 assert (zenon_L68_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H110 zenon_H63 zenon_H19 zenon_H1c zenon_Hed zenon_Hfd zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_Hfa zenon_H34 zenon_H71 zenon_H2b zenon_Hb5 zenon_Hc5 zenon_Hf9 zenon_Hff.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H62 | zenon_intro zenon_H111 ].
% 47.01/47.20 apply (zenon_L18_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H112 ].
% 47.01/47.20 apply (zenon_L54_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Ha8 ].
% 47.01/47.20 apply (zenon_L55_); trivial.
% 47.01/47.20 apply (zenon_L67_); trivial.
% 47.01/47.20 (* end of lemma zenon_L68_ *)
% 47.01/47.20 assert (zenon_L69_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((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)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H116 zenon_H5c zenon_Hd0 zenon_H6a zenon_H5f zenon_H56 zenon_H104 zenon_H110 zenon_H63 zenon_H19 zenon_H1c zenon_Hed zenon_Hfd zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_Hfa zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Hf9.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.20 apply (zenon_L52_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.20 apply (zenon_L28_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.20 apply (zenon_L53_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.01/47.20 apply (zenon_L19_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.01/47.20 apply (zenon_L62_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.01/47.20 apply (zenon_L28_); trivial.
% 47.01/47.20 apply (zenon_L68_); trivial.
% 47.01/47.20 (* end of lemma zenon_L69_ *)
% 47.01/47.20 assert (zenon_L70_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H119 zenon_H5b zenon_Hfb.
% 47.01/47.20 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H119.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H5b.
% 47.01/47.20 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 47.01/47.20 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H26. apply refl_equal.
% 47.01/47.20 apply zenon_Hfc. apply sym_equal. exact zenon_Hfb.
% 47.01/47.20 (* end of lemma zenon_L70_ *)
% 47.01/47.20 assert (zenon_L71_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H116 zenon_H5c zenon_H71 zenon_Hb0 zenon_H19 zenon_H5b zenon_H119 zenon_Hc5 zenon_Hb8.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.20 apply (zenon_L52_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.20 apply (zenon_L28_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.20 apply (zenon_L70_); trivial.
% 47.01/47.20 apply (zenon_L55_); trivial.
% 47.01/47.20 (* end of lemma zenon_L71_ *)
% 47.01/47.20 assert (zenon_L72_ : ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e12)) = (e10)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H1c zenon_H11a zenon_H19 zenon_H11b.
% 47.01/47.20 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H11b.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H9f.
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e10) = (op1 (op1 (e11) (e11)) (e11))) = ((op1 (e12) (e12)) = (op1 (e12) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H11c.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H1c.
% 47.01/47.20 cut (((op1 (op1 (e11) (e11)) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18].
% 47.01/47.20 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11d].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e10) = (op1 (e12) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H11d.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H9f.
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H11e].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H11e zenon_H11a).
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply (zenon_L3_); trivial.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L72_ *)
% 47.01/47.20 assert (zenon_L73_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H11f zenon_Hed zenon_H120.
% 47.01/47.20 cut (((op1 (e12) (e10)) = (e11)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H11f.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hed.
% 47.01/47.20 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 47.01/47.20 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_H3d. apply refl_equal.
% 47.01/47.20 apply zenon_H121. apply sym_equal. exact zenon_H120.
% 47.01/47.20 (* end of lemma zenon_L73_ *)
% 47.01/47.20 assert (zenon_L74_ : (((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (e10))/\(((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (e11))/\(((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12))/\((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e13))))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H8d zenon_H8b zenon_Hb8 zenon_Hc5.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H95. zenon_intro zenon_H94.
% 47.01/47.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hc5.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H96.
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12)) = ((op1 (e13) (e13)) = (op1 (e12) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hc6.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H95.
% 47.01/47.20 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 47.01/47.20 cut (((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H9a].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H9a.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H96.
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (op1 (e12) (e12)) (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 47.01/47.20 congruence.
% 47.01/47.20 apply (zenon_L22_); trivial.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L74_ *)
% 47.01/47.20 assert (zenon_L75_ : (~((op1 (e12) (e12)) = (op1 (op1 (e12) (e13)) (op1 (e12) (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H122 zenon_Hb8.
% 47.01/47.20 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 47.01/47.20 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 47.01/47.20 congruence.
% 47.01/47.20 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 47.01/47.20 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 47.01/47.20 (* end of lemma zenon_L75_ *)
% 47.01/47.20 assert (zenon_L76_ : (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e10))/\(((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e11))/\(((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H9b zenon_Hf9 zenon_Hb8 zenon_Hfb.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 47.01/47.20 cut (((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hf9.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H10b.
% 47.01/47.20 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 47.01/47.20 cut (((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (op1 (e12) (e12)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H123.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H9f.
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.01/47.20 cut (((op1 (e12) (e12)) = (op1 (op1 (e12) (e13)) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 47.01/47.20 congruence.
% 47.01/47.20 apply (zenon_L75_); trivial.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Ha0. apply refl_equal.
% 47.01/47.20 apply zenon_Hfc. apply sym_equal. exact zenon_Hfb.
% 47.01/47.20 (* end of lemma zenon_L76_ *)
% 47.01/47.20 assert (zenon_L77_ : ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_H8b zenon_Hf9 zenon_Hb8 zenon_Hfb.
% 47.01/47.20 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.01/47.20 apply (zenon_L20_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.01/47.20 apply (zenon_L21_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.01/47.20 apply (zenon_L74_); trivial.
% 47.01/47.20 apply (zenon_L76_); trivial.
% 47.01/47.20 (* end of lemma zenon_L77_ *)
% 47.01/47.20 assert (zenon_L78_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hd4 zenon_H1c zenon_H1b zenon_Hb4 zenon_H19 zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H7d zenon_Hc5 zenon_H8b zenon_Hf9 zenon_Hb8 zenon_Hfb.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hd5 ].
% 47.01/47.20 apply (zenon_L4_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd6 ].
% 47.01/47.20 apply (zenon_L40_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H57 | zenon_intro zenon_H5f ].
% 47.01/47.20 apply (zenon_L15_); trivial.
% 47.01/47.20 apply (zenon_L77_); trivial.
% 47.01/47.20 (* end of lemma zenon_L78_ *)
% 47.01/47.20 assert (zenon_L79_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H116 zenon_H5c zenon_H19 zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_Hfa zenon_H34 zenon_H71 zenon_H2b zenon_Hb5 zenon_Hc5 zenon_Ha8 zenon_Hf9.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.20 apply (zenon_L52_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.20 apply (zenon_L28_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.20 apply (zenon_L53_); trivial.
% 47.01/47.20 apply (zenon_L67_); trivial.
% 47.01/47.20 (* end of lemma zenon_L79_ *)
% 47.01/47.20 assert (zenon_L80_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hd0 zenon_H6a zenon_H60 zenon_H1b zenon_H56 zenon_Hb4 zenon_H1c zenon_Hd4 zenon_H116 zenon_H5c zenon_H19 zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_Hfa zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Ha8 zenon_Hf9.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.01/47.20 apply (zenon_L19_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.01/47.20 apply (zenon_L41_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.01/47.20 apply (zenon_L28_); trivial.
% 47.01/47.20 apply (zenon_L79_); trivial.
% 47.01/47.20 (* end of lemma zenon_L80_ *)
% 47.01/47.20 assert (zenon_L81_ : (((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)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_Hd0 zenon_H6a zenon_H60 zenon_H1b zenon_H56 zenon_Hb4 zenon_H1c zenon_Hd4 zenon_H116 zenon_H5c zenon_H19 zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_Hfa zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Hf9.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.20 apply (zenon_L52_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.20 apply (zenon_L28_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.20 apply (zenon_L53_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H62 | zenon_intro zenon_H111 ].
% 47.01/47.20 apply (zenon_L18_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H112 ].
% 47.01/47.20 apply (zenon_L54_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Ha8 ].
% 47.01/47.20 apply (zenon_L55_); trivial.
% 47.01/47.20 apply (zenon_L80_); trivial.
% 47.01/47.20 (* end of lemma zenon_L81_ *)
% 47.01/47.20 assert (zenon_L82_ : (((op1 (op1 (e10) (e11)) (op1 (e10) (e11))) = (e10))/\(((op1 (op1 (e11) (e11)) (op1 (e11) (e11))) = (e11))/\(((op1 (op1 (e12) (e11)) (op1 (e12) (e11))) = (e12))/\((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H7c zenon_Hb5 zenon_Hd7 zenon_H8f.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 47.01/47.20 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 47.01/47.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H8f.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H96.
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (e13)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H98.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H82.
% 47.01/47.20 cut (((e13) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 47.01/47.20 cut (((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e13) (e11)) (op1 (e13) (e11))) = (op1 (e13) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hcf.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H96.
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.01/47.20 cut (((op1 (e13) (e13)) = (op1 (op1 (e13) (e11)) (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_Hce].
% 47.01/47.20 congruence.
% 47.01/47.20 apply (zenon_L36_); trivial.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H124. apply sym_equal. exact zenon_Hd7.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 apply zenon_H97. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L82_ *)
% 47.01/47.20 assert (zenon_L83_ : ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e12)) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H34 zenon_H71 zenon_H2b zenon_H8f zenon_Hd7 zenon_Hb5 zenon_Hc5 zenon_H8b zenon_Hf9 zenon_Hb8 zenon_Hfb.
% 47.01/47.20 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.01/47.20 apply (zenon_L20_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.01/47.20 apply (zenon_L82_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.01/47.20 apply (zenon_L74_); trivial.
% 47.01/47.20 apply (zenon_L76_); trivial.
% 47.01/47.20 (* end of lemma zenon_L83_ *)
% 47.01/47.20 assert (zenon_L84_ : ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> (~((e12) = (e13))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hb8 zenon_Ha8 zenon_Hd8.
% 47.01/47.20 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.01/47.20 cut (((e13) = (e13)) = ((e12) = (e13))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hd8.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H36.
% 47.01/47.20 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.01/47.20 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((op1 (e12) (e13)) = (e12)) = ((e13) = (e12))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_Hd9.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_Hb8.
% 47.01/47.20 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.20 cut (((op1 (e12) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hab].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_Hab zenon_Ha8).
% 47.01/47.20 apply zenon_H53. apply refl_equal.
% 47.01/47.20 apply zenon_H37. apply refl_equal.
% 47.01/47.20 apply zenon_H37. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L84_ *)
% 47.01/47.20 assert (zenon_L85_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (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 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hac zenon_H3b zenon_H2c zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_Hd0 zenon_H6a zenon_H1b zenon_H56 zenon_Hb4 zenon_H1c zenon_Hd4 zenon_H116 zenon_H5c zenon_H19 zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_H11f zenon_H11b zenon_H125 zenon_Hfb zenon_Hf9 zenon_Hc5 zenon_Hb5 zenon_Hd7 zenon_H8f zenon_H2b zenon_H71 zenon_H34 zenon_Hb8 zenon_Hd8.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.01/47.20 apply (zenon_L10_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H11a | zenon_intro zenon_H126 ].
% 47.01/47.20 apply (zenon_L72_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H120 | zenon_intro zenon_H127 ].
% 47.01/47.20 apply (zenon_L73_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hfa | zenon_intro zenon_H8b ].
% 47.01/47.20 apply (zenon_L81_); trivial.
% 47.01/47.20 apply (zenon_L83_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.01/47.20 apply (zenon_L83_); trivial.
% 47.01/47.20 apply (zenon_L84_); trivial.
% 47.01/47.20 (* end of lemma zenon_L85_ *)
% 47.01/47.20 assert (zenon_L86_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (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 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_Hac zenon_H3b zenon_H2c zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_Hd0 zenon_H6a zenon_H1b zenon_H56 zenon_Hb4 zenon_H1c zenon_Hd4 zenon_H116 zenon_H5c zenon_H19 zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_H11f zenon_H11b zenon_H125 zenon_Hfb zenon_Hf9 zenon_Hc5 zenon_Hd7 zenon_H8f zenon_H2b zenon_H71 zenon_H34 zenon_Hb8 zenon_Hd8.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H11a | zenon_intro zenon_H126 ].
% 47.01/47.20 apply (zenon_L72_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H120 | zenon_intro zenon_H127 ].
% 47.01/47.20 apply (zenon_L73_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hfa | zenon_intro zenon_H8b ].
% 47.01/47.20 apply (zenon_L53_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.01/47.20 apply (zenon_L19_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.01/47.20 apply (zenon_L78_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.01/47.20 apply (zenon_L28_); trivial.
% 47.01/47.20 apply (zenon_L85_); trivial.
% 47.01/47.20 (* end of lemma zenon_L86_ *)
% 47.01/47.20 assert (zenon_L87_ : ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e11) (e11)) = (e13)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H2c zenon_H128 zenon_H1c zenon_H129.
% 47.01/47.20 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H84 | zenon_intro zenon_H58 ].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H129.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H84.
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12a].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e11) (e11)) = (op1 (e11) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H12a.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H2c.
% 47.01/47.20 cut (((op1 (e11) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 47.01/47.20 cut (((e13) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H84 | zenon_intro zenon_H58 ].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((e13) = (op1 (e11) (e11)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H12b.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H84.
% 47.01/47.20 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.01/47.20 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H12c].
% 47.01/47.20 congruence.
% 47.01/47.20 exact (zenon_H12c zenon_H128).
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply (zenon_L6_); trivial.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 apply zenon_H58. apply refl_equal.
% 47.01/47.20 (* end of lemma zenon_L87_ *)
% 47.01/47.20 assert (zenon_L88_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H116 zenon_H5c zenon_H110 zenon_H63 zenon_H19 zenon_H1c zenon_Hed zenon_Hfd zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_Hfa zenon_H34 zenon_H71 zenon_H2b zenon_Hb5 zenon_Hc5 zenon_Hf9.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.20 apply (zenon_L52_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.20 apply (zenon_L28_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.20 apply (zenon_L53_); trivial.
% 47.01/47.20 apply (zenon_L68_); trivial.
% 47.01/47.20 (* end of lemma zenon_L88_ *)
% 47.01/47.20 assert (zenon_L89_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (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 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H12d zenon_H119 zenon_He6 zenon_Hac zenon_H3b zenon_H2c zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_Hd0 zenon_H6a zenon_H1b zenon_H56 zenon_Hb4 zenon_H1c zenon_Hd4 zenon_H116 zenon_H5c zenon_H19 zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_H11f zenon_H11b zenon_H125 zenon_Hf9 zenon_Hc5 zenon_Hb5 zenon_Hd7 zenon_H8f zenon_H2b zenon_H71 zenon_H34 zenon_Hb8 zenon_Hd8.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H5b | zenon_intro zenon_H12e ].
% 47.01/47.20 apply (zenon_L71_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_He5 | zenon_intro zenon_H12f ].
% 47.01/47.20 apply (zenon_L48_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hfb ].
% 47.01/47.20 apply (zenon_L88_); trivial.
% 47.01/47.20 apply (zenon_L85_); trivial.
% 47.01/47.20 (* end of lemma zenon_L89_ *)
% 47.01/47.20 assert (zenon_L90_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (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 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e12) = (e13))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H130 zenon_H51 zenon_Hf1 zenon_H12d zenon_H119 zenon_He6 zenon_Hac zenon_H3b zenon_H2c zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_Hd0 zenon_H6a zenon_H1b zenon_H56 zenon_Hb4 zenon_H1c zenon_Hd4 zenon_H116 zenon_H5c zenon_H19 zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_H11f zenon_H11b zenon_H125 zenon_Hf9 zenon_Hc5 zenon_Hb5 zenon_Hd7 zenon_H8f zenon_H2b zenon_H71 zenon_H34 zenon_Hd8.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.20 apply (zenon_L50_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.20 apply (zenon_L51_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.20 apply (zenon_L88_); trivial.
% 47.01/47.20 apply (zenon_L89_); trivial.
% 47.01/47.20 (* end of lemma zenon_L90_ *)
% 47.01/47.20 assert (zenon_L91_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (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)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H48 zenon_Hd8 zenon_H71 zenon_H2b zenon_H8f zenon_Hd7 zenon_Hc5 zenon_Hf9 zenon_H125 zenon_H11b zenon_H11f zenon_Hb0 zenon_H115 zenon_H101 zenon_H10d zenon_H19 zenon_H5c zenon_H116 zenon_Hd4 zenon_Hb4 zenon_H56 zenon_H1b zenon_H6a zenon_Hd0 zenon_Hfd zenon_Hed zenon_H63 zenon_H110 zenon_Hac zenon_He6 zenon_H119 zenon_H12d zenon_Hf1 zenon_H51 zenon_H130 zenon_H129 zenon_H104 zenon_H133 zenon_H3b zenon_H2c zenon_H1c zenon_H42.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.01/47.20 apply (zenon_L7_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.20 apply (zenon_L50_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.20 apply (zenon_L51_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.20 apply (zenon_L69_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H5b | zenon_intro zenon_H12e ].
% 47.01/47.20 apply (zenon_L71_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_He5 | zenon_intro zenon_H12f ].
% 47.01/47.20 apply (zenon_L48_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hfb ].
% 47.01/47.20 apply (zenon_L69_); trivial.
% 47.01/47.20 apply (zenon_L86_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.01/47.20 apply (zenon_L87_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.20 apply (zenon_L50_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.20 apply (zenon_L51_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.20 apply (zenon_L81_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H5b | zenon_intro zenon_H12e ].
% 47.01/47.20 apply (zenon_L71_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_He5 | zenon_intro zenon_H12f ].
% 47.01/47.20 apply (zenon_L48_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hfb ].
% 47.01/47.20 apply (zenon_L81_); trivial.
% 47.01/47.20 apply (zenon_L86_); trivial.
% 47.01/47.20 apply (zenon_L90_); trivial.
% 47.01/47.20 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.01/47.20 apply (zenon_L10_); trivial.
% 47.01/47.20 apply (zenon_L11_); trivial.
% 47.01/47.20 (* end of lemma zenon_L91_ *)
% 47.01/47.20 assert (zenon_L92_ : ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((op1 (e11) (e13)) = (e13)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> False).
% 47.01/47.20 do 0 intro. intros zenon_H2c zenon_H136 zenon_H1c zenon_H137.
% 47.01/47.20 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 47.01/47.20 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H137.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H138.
% 47.01/47.20 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 47.01/47.20 cut (((op1 (e11) (e13)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 47.01/47.20 congruence.
% 47.01/47.20 cut (((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) = ((op1 (e11) (e13)) = (op1 (e11) (e10)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H13a.
% 47.01/47.20 rewrite <- zenon_D_pnotp.
% 47.01/47.20 exact zenon_H2c.
% 47.01/47.20 cut (((op1 (e11) (op1 (op1 (e11) (e11)) (e11))) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H29].
% 47.01/47.20 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H13b].
% 47.01/47.20 congruence.
% 47.01/47.20 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 47.01/47.20 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e13) = (op1 (e11) (e13)))).
% 47.01/47.20 intro zenon_D_pnotp.
% 47.01/47.20 apply zenon_H13b.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H138.
% 47.01/47.21 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 47.01/47.21 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H13c].
% 47.01/47.21 congruence.
% 47.01/47.21 exact (zenon_H13c zenon_H136).
% 47.01/47.21 apply zenon_H139. apply refl_equal.
% 47.01/47.21 apply zenon_H139. apply refl_equal.
% 47.01/47.21 apply (zenon_L6_); trivial.
% 47.01/47.21 apply zenon_H139. apply refl_equal.
% 47.01/47.21 apply zenon_H139. apply refl_equal.
% 47.01/47.21 (* end of lemma zenon_L92_ *)
% 47.01/47.21 assert (zenon_L93_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H13d zenon_H22 zenon_H13e.
% 47.01/47.21 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H13f | zenon_intro zenon_Hba ].
% 47.01/47.21 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H13e.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H13f.
% 47.01/47.21 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.01/47.21 cut (((op1 (e10) (e13)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 47.01/47.21 congruence.
% 47.01/47.21 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e10) (e12)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H140.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H13d.
% 47.01/47.21 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha2].
% 47.01/47.21 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.01/47.21 congruence.
% 47.01/47.21 apply zenon_Hba. apply refl_equal.
% 47.01/47.21 apply zenon_Ha2. apply sym_equal. exact zenon_H22.
% 47.01/47.21 apply zenon_Hba. apply refl_equal.
% 47.01/47.21 apply zenon_Hba. apply refl_equal.
% 47.01/47.21 (* end of lemma zenon_L93_ *)
% 47.01/47.21 assert (zenon_L94_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H141 zenon_Hd3 zenon_H142.
% 47.01/47.21 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 47.01/47.21 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H142.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H25.
% 47.01/47.21 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.21 cut (((op1 (e10) (e12)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 47.01/47.21 congruence.
% 47.01/47.21 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e10) (e11)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H143.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H141.
% 47.01/47.21 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 47.01/47.21 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.21 congruence.
% 47.01/47.21 apply zenon_H26. apply refl_equal.
% 47.01/47.21 apply zenon_H144. apply sym_equal. exact zenon_Hd3.
% 47.01/47.21 apply zenon_H26. apply refl_equal.
% 47.01/47.21 apply zenon_H26. apply refl_equal.
% 47.01/47.21 (* end of lemma zenon_L94_ *)
% 47.01/47.21 assert (zenon_L95_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e11)) -> (~((e11) = (e12))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H19 zenon_H145 zenon_H51.
% 47.01/47.21 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.01/47.21 cut (((e12) = (e12)) = ((e11) = (e12))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H51.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H52.
% 47.01/47.21 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.21 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 47.01/47.21 congruence.
% 47.01/47.21 cut (((e12) = (op1 (e11) (e11))) = ((e12) = (e11))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H54.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H19.
% 47.01/47.21 cut (((op1 (e11) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H146].
% 47.01/47.21 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.21 congruence.
% 47.01/47.21 apply zenon_H53. apply refl_equal.
% 47.01/47.21 exact (zenon_H146 zenon_H145).
% 47.01/47.21 apply zenon_H53. apply refl_equal.
% 47.01/47.21 apply zenon_H53. apply refl_equal.
% 47.01/47.21 (* end of lemma zenon_L95_ *)
% 47.01/47.21 assert (zenon_L96_ : (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e12) (e11)) = (e11)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H4b zenon_Hed zenon_H147.
% 47.01/47.21 cut (((op1 (e12) (e10)) = (e11)) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H4b.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_Hed.
% 47.01/47.21 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H148].
% 47.01/47.21 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 47.01/47.21 congruence.
% 47.01/47.21 apply zenon_H3d. apply refl_equal.
% 47.01/47.21 apply zenon_H148. apply sym_equal. exact zenon_H147.
% 47.01/47.21 (* end of lemma zenon_L96_ *)
% 47.01/47.21 assert (zenon_L97_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H119 zenon_H141 zenon_H105.
% 47.01/47.21 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H119.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H141.
% 47.01/47.21 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H106].
% 47.01/47.21 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.21 congruence.
% 47.01/47.21 apply zenon_H26. apply refl_equal.
% 47.01/47.21 apply zenon_H106. apply sym_equal. exact zenon_H105.
% 47.01/47.21 (* end of lemma zenon_L97_ *)
% 47.01/47.21 assert (zenon_L98_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H10d zenon_H101 zenon_H141 zenon_H119 zenon_Hfa zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_Ha8 zenon_Hf9 zenon_Hff.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H10e ].
% 47.01/47.21 apply (zenon_L56_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H105 | zenon_intro zenon_H10f ].
% 47.01/47.21 apply (zenon_L97_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hc4 ].
% 47.01/47.21 apply (zenon_L53_); trivial.
% 47.01/47.21 apply (zenon_L60_); trivial.
% 47.01/47.21 (* end of lemma zenon_L98_ *)
% 47.01/47.21 assert (zenon_L99_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H116 zenon_H5c zenon_Hb0 zenon_H19 zenon_Hf9 zenon_H8b zenon_H7d zenon_H5f zenon_H56 zenon_H2b zenon_H71 zenon_H34 zenon_Hc5 zenon_Hb8.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.21 apply (zenon_L52_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.21 apply (zenon_L28_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.21 apply (zenon_L77_); trivial.
% 47.01/47.21 apply (zenon_L55_); trivial.
% 47.01/47.21 (* end of lemma zenon_L99_ *)
% 47.01/47.21 assert (zenon_L100_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_Hac zenon_H3b zenon_H1c zenon_H2c zenon_H1b zenon_Hc5 zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hf9 zenon_H19 zenon_Hb0 zenon_H5c zenon_H116 zenon_Hb8 zenon_Hd8.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.01/47.21 apply (zenon_L10_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.01/47.21 apply (zenon_L17_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.01/47.21 apply (zenon_L99_); trivial.
% 47.01/47.21 apply (zenon_L84_); trivial.
% 47.01/47.21 (* end of lemma zenon_L100_ *)
% 47.01/47.21 assert (zenon_L101_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H48 zenon_Hd8 zenon_H116 zenon_H5c zenon_Hb0 zenon_H19 zenon_Hf9 zenon_H5f zenon_H56 zenon_H2b zenon_H71 zenon_Hc5 zenon_H1b zenon_Hac zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_H10d zenon_H101 zenon_H141 zenon_H119 zenon_Hf1 zenon_H51 zenon_H130 zenon_H4b zenon_H142 zenon_H149 zenon_H3b zenon_H2c zenon_H1c zenon_H42.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.01/47.21 apply (zenon_L7_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H14a ].
% 47.01/47.21 apply (zenon_L94_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H14b ].
% 47.01/47.21 apply (zenon_L95_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H147 | zenon_intro zenon_H7d ].
% 47.01/47.21 apply (zenon_L96_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.21 apply (zenon_L50_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.21 apply (zenon_L51_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.21 apply (zenon_L52_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.21 apply (zenon_L28_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.21 apply (zenon_L53_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H62 | zenon_intro zenon_H111 ].
% 47.01/47.21 apply (zenon_L18_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H112 ].
% 47.01/47.21 apply (zenon_L54_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Ha8 ].
% 47.01/47.21 apply (zenon_L55_); trivial.
% 47.01/47.21 apply (zenon_L98_); trivial.
% 47.01/47.21 apply (zenon_L100_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.01/47.21 apply (zenon_L10_); trivial.
% 47.01/47.21 apply (zenon_L11_); trivial.
% 47.01/47.21 (* end of lemma zenon_L101_ *)
% 47.01/47.21 assert (zenon_L102_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H9c zenon_Hbb zenon_H8b.
% 47.01/47.21 cut (((op1 (e10) (e12)) = (e13)) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H9c.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_Hbb.
% 47.01/47.21 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 47.01/47.21 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.21 congruence.
% 47.01/47.21 apply zenon_H26. apply refl_equal.
% 47.01/47.21 apply zenon_H8c. apply sym_equal. exact zenon_H8b.
% 47.01/47.21 (* end of lemma zenon_L102_ *)
% 47.01/47.21 assert (zenon_L103_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (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)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H14c zenon_H13e zenon_H13d zenon_H42 zenon_H1c zenon_H2c zenon_H3b zenon_H149 zenon_H142 zenon_H4b zenon_H130 zenon_H51 zenon_Hf1 zenon_H101 zenon_H10d zenon_Hfd zenon_Hed zenon_H63 zenon_H110 zenon_Hac zenon_H1b zenon_Hc5 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_Hf9 zenon_H19 zenon_Hb0 zenon_H5c zenon_H116 zenon_Hd8 zenon_H48 zenon_Hfb zenon_H119 zenon_H9c zenon_H8b.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H22 | zenon_intro zenon_H14d ].
% 47.01/47.21 apply (zenon_L93_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H141 | zenon_intro zenon_H14e ].
% 47.01/47.21 apply (zenon_L101_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H5b | zenon_intro zenon_Hbb ].
% 47.01/47.21 apply (zenon_L70_); trivial.
% 47.01/47.21 apply (zenon_L102_); trivial.
% 47.01/47.21 (* end of lemma zenon_L103_ *)
% 47.01/47.21 assert (zenon_L104_ : ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H8b zenon_H9c zenon_H119 zenon_H48 zenon_Hd8 zenon_H116 zenon_H5c zenon_Hb0 zenon_H19 zenon_Hf9 zenon_H5f zenon_H56 zenon_H2b zenon_H71 zenon_H1b zenon_Hac zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_H10d zenon_H101 zenon_Hf1 zenon_H51 zenon_H130 zenon_H4b zenon_H142 zenon_H149 zenon_H3b zenon_H2c zenon_H1c zenon_H42 zenon_H13d zenon_H13e zenon_H14c zenon_Hc5 zenon_Hb8.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.21 apply (zenon_L52_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.21 apply (zenon_L28_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.21 apply (zenon_L103_); trivial.
% 47.01/47.21 apply (zenon_L55_); trivial.
% 47.01/47.21 (* end of lemma zenon_L104_ *)
% 47.01/47.21 assert (zenon_L105_ : ((op1 (e10) (e13)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H14f zenon_Hd3 zenon_H150.
% 47.01/47.21 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H13f | zenon_intro zenon_Hba ].
% 47.01/47.21 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H150.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H13f.
% 47.01/47.21 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.01/47.21 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H151].
% 47.01/47.21 congruence.
% 47.01/47.21 cut (((op1 (e10) (e13)) = (e11)) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H151.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H14f.
% 47.01/47.21 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H144].
% 47.01/47.21 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.01/47.21 congruence.
% 47.01/47.21 apply zenon_Hba. apply refl_equal.
% 47.01/47.21 apply zenon_H144. apply sym_equal. exact zenon_Hd3.
% 47.01/47.21 apply zenon_Hba. apply refl_equal.
% 47.01/47.21 apply zenon_Hba. apply refl_equal.
% 47.01/47.21 (* end of lemma zenon_L105_ *)
% 47.01/47.21 assert (zenon_L106_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (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)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H130 zenon_H51 zenon_Hf1 zenon_H104 zenon_H101 zenon_H10d zenon_Hfd zenon_Hed zenon_H63 zenon_H110 zenon_Hac zenon_H3b zenon_H1c zenon_H2c zenon_H1b zenon_Hc5 zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hf9 zenon_H19 zenon_Hb0 zenon_H5c zenon_H116 zenon_Hd8.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.21 apply (zenon_L50_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.21 apply (zenon_L51_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.21 apply (zenon_L52_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.21 apply (zenon_L28_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.21 apply (zenon_L53_); trivial.
% 47.01/47.21 apply (zenon_L62_); trivial.
% 47.01/47.21 apply (zenon_L100_); trivial.
% 47.01/47.21 (* end of lemma zenon_L106_ *)
% 47.01/47.21 assert (zenon_L107_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H48 zenon_Hd8 zenon_H116 zenon_H5c zenon_Hb0 zenon_H19 zenon_Hf9 zenon_H5f zenon_H56 zenon_H2b zenon_H71 zenon_Hc5 zenon_H1b zenon_Hac zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_H10d zenon_H101 zenon_H104 zenon_Hf1 zenon_H51 zenon_H130 zenon_H4b zenon_H14f zenon_H150 zenon_H149 zenon_H3b zenon_H2c zenon_H1c zenon_H42.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.01/47.21 apply (zenon_L7_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H14a ].
% 47.01/47.21 apply (zenon_L105_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H14b ].
% 47.01/47.21 apply (zenon_L95_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H147 | zenon_intro zenon_H7d ].
% 47.01/47.21 apply (zenon_L96_); trivial.
% 47.01/47.21 apply (zenon_L106_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.01/47.21 apply (zenon_L10_); trivial.
% 47.01/47.21 apply (zenon_L11_); trivial.
% 47.01/47.21 (* end of lemma zenon_L107_ *)
% 47.01/47.21 assert (zenon_L108_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((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)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H130 zenon_H51 zenon_Hf1 zenon_Hf9 zenon_Hc5 zenon_H2b zenon_H71 zenon_H34 zenon_Hb0 zenon_H115 zenon_H101 zenon_H10d zenon_Hfd zenon_Hed zenon_H1c zenon_H19 zenon_H63 zenon_H110 zenon_H104 zenon_H56 zenon_H5f zenon_H6a zenon_Hd0 zenon_H5c zenon_H116 zenon_Hb7 zenon_H8e.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.21 apply (zenon_L50_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.21 apply (zenon_L51_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.21 apply (zenon_L69_); trivial.
% 47.01/47.21 apply (zenon_L30_); trivial.
% 47.01/47.21 (* end of lemma zenon_L108_ *)
% 47.01/47.21 assert (zenon_L109_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H130 zenon_H51 zenon_Hf1 zenon_Hf9 zenon_Hc5 zenon_Hb5 zenon_H2b zenon_H71 zenon_H34 zenon_Hb0 zenon_H115 zenon_H101 zenon_H10d zenon_Hfd zenon_Hed zenon_H1c zenon_H19 zenon_H63 zenon_H110 zenon_H5c zenon_H116 zenon_Hb7 zenon_H8e.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.21 apply (zenon_L50_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.21 apply (zenon_L51_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.21 apply (zenon_L88_); trivial.
% 47.01/47.21 apply (zenon_L30_); trivial.
% 47.01/47.21 (* end of lemma zenon_L109_ *)
% 47.01/47.21 assert (zenon_L110_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (((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 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H133 zenon_H104 zenon_H129 zenon_H2c zenon_Hd0 zenon_H6a zenon_H1b zenon_H56 zenon_Hb4 zenon_Hd4 zenon_H130 zenon_H51 zenon_Hf1 zenon_Hf9 zenon_Hc5 zenon_H2b zenon_H71 zenon_H34 zenon_Hb0 zenon_H115 zenon_H101 zenon_H10d zenon_Hfd zenon_Hed zenon_H1c zenon_H19 zenon_H63 zenon_H110 zenon_H5c zenon_H116 zenon_Hb7 zenon_H8e.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.01/47.21 apply (zenon_L108_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.01/47.21 apply (zenon_L87_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.21 apply (zenon_L50_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.21 apply (zenon_L51_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.21 apply (zenon_L81_); trivial.
% 47.01/47.21 apply (zenon_L30_); trivial.
% 47.01/47.21 apply (zenon_L109_); trivial.
% 47.01/47.21 (* end of lemma zenon_L110_ *)
% 47.01/47.21 assert (zenon_L111_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H8f zenon_Hd7 zenon_H152.
% 47.01/47.21 cut (((op1 (e10) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H8f.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_Hd7.
% 47.01/47.21 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 47.01/47.21 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.01/47.21 congruence.
% 47.01/47.21 apply zenon_Hba. apply refl_equal.
% 47.01/47.21 apply zenon_H153. apply sym_equal. exact zenon_H152.
% 47.01/47.21 (* end of lemma zenon_L111_ *)
% 47.01/47.21 assert (zenon_L112_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H154 zenon_Hb8 zenon_H14c zenon_H13e zenon_H142 zenon_H119 zenon_H9c zenon_H8b zenon_H42 zenon_H3b zenon_H149 zenon_H150 zenon_H4b zenon_Hac zenon_H5f zenon_Hd8 zenon_H48 zenon_Hb7 zenon_H116 zenon_H5c zenon_H110 zenon_H63 zenon_H19 zenon_H1c zenon_Hed zenon_Hfd zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Hf9 zenon_Hf1 zenon_H51 zenon_H130 zenon_Hd4 zenon_Hb4 zenon_H56 zenon_H1b zenon_H6a zenon_Hd0 zenon_H2c zenon_H129 zenon_H104 zenon_H133 zenon_H8f zenon_H152.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H13d | zenon_intro zenon_H155 ].
% 47.01/47.21 apply (zenon_L104_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14f | zenon_intro zenon_H156 ].
% 47.01/47.21 apply (zenon_L107_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H8e | zenon_intro zenon_Hd7 ].
% 47.01/47.21 apply (zenon_L110_); trivial.
% 47.01/47.21 apply (zenon_L111_); trivial.
% 47.01/47.21 (* end of lemma zenon_L112_ *)
% 47.01/47.21 assert (zenon_L113_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H157 zenon_H12d zenon_He6 zenon_H11f zenon_H11b zenon_H125 zenon_H137 zenon_H154 zenon_Hb8 zenon_H14c zenon_H13e zenon_H142 zenon_H119 zenon_H9c zenon_H8b zenon_H42 zenon_H3b zenon_H149 zenon_H150 zenon_H4b zenon_Hac zenon_H5f zenon_Hd8 zenon_H48 zenon_Hb7 zenon_H116 zenon_H5c zenon_H110 zenon_H63 zenon_H19 zenon_H1c zenon_Hed zenon_Hfd zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Hf9 zenon_Hf1 zenon_H51 zenon_H130 zenon_Hd4 zenon_Hb4 zenon_H56 zenon_H1b zenon_H6a zenon_Hd0 zenon_H2c zenon_H129 zenon_H104 zenon_H133 zenon_H8f.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H158 ].
% 47.01/47.21 apply (zenon_L91_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H136 | zenon_intro zenon_H159 ].
% 47.01/47.21 apply (zenon_L92_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H152 ].
% 47.01/47.21 apply (zenon_L84_); trivial.
% 47.01/47.21 apply (zenon_L112_); trivial.
% 47.01/47.21 (* end of lemma zenon_L113_ *)
% 47.01/47.21 assert (zenon_L114_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H125 zenon_H11b zenon_H19 zenon_H1c zenon_Hed zenon_H11f zenon_Hfb zenon_Hf9 zenon_H9c zenon_Hbb.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H11a | zenon_intro zenon_H126 ].
% 47.01/47.21 apply (zenon_L72_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H120 | zenon_intro zenon_H127 ].
% 47.01/47.21 apply (zenon_L73_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_Hfa | zenon_intro zenon_H8b ].
% 47.01/47.21 apply (zenon_L53_); trivial.
% 47.01/47.21 apply (zenon_L102_); trivial.
% 47.01/47.21 (* end of lemma zenon_L114_ *)
% 47.01/47.21 assert (zenon_L115_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H116 zenon_H5c zenon_H71 zenon_Hb0 zenon_Hbb zenon_H9c zenon_Hf9 zenon_H11f zenon_Hed zenon_H1c zenon_H19 zenon_H11b zenon_H125 zenon_Hc5 zenon_Hb8.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.21 apply (zenon_L52_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.21 apply (zenon_L28_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.21 apply (zenon_L114_); trivial.
% 47.01/47.21 apply (zenon_L55_); trivial.
% 47.01/47.21 (* end of lemma zenon_L115_ *)
% 47.01/47.21 assert (zenon_L116_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (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) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H130 zenon_H51 zenon_Hf1 zenon_Hb5 zenon_H2b zenon_H34 zenon_H115 zenon_H101 zenon_H10d zenon_Hfd zenon_H63 zenon_H110 zenon_H116 zenon_H5c zenon_H71 zenon_Hb0 zenon_Hbb zenon_H9c zenon_Hf9 zenon_H11f zenon_Hed zenon_H1c zenon_H19 zenon_H11b zenon_H125 zenon_Hc5.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.21 apply (zenon_L50_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.21 apply (zenon_L51_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.21 apply (zenon_L52_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.21 apply (zenon_L28_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.21 apply (zenon_L114_); trivial.
% 47.01/47.21 apply (zenon_L68_); trivial.
% 47.01/47.21 apply (zenon_L115_); trivial.
% 47.01/47.21 (* end of lemma zenon_L116_ *)
% 47.01/47.21 assert (zenon_L117_ : (((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)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (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) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_Hd0 zenon_H6a zenon_Hd3 zenon_Hb4 zenon_H130 zenon_H51 zenon_Hf1 zenon_H2b zenon_H34 zenon_H115 zenon_H101 zenon_H10d zenon_Hfd zenon_H63 zenon_H110 zenon_H116 zenon_H5c zenon_H71 zenon_Hb0 zenon_Hbb zenon_H9c zenon_Hf9 zenon_H11f zenon_Hed zenon_H1c zenon_H19 zenon_H11b zenon_H125 zenon_Hc5.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.01/47.21 apply (zenon_L19_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.01/47.21 apply (zenon_L40_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.01/47.21 apply (zenon_L28_); trivial.
% 47.01/47.21 apply (zenon_L116_); trivial.
% 47.01/47.21 (* end of lemma zenon_L117_ *)
% 47.01/47.21 assert (zenon_L118_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e10)) -> (~((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))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H48 zenon_Hc5 zenon_H125 zenon_H11b zenon_H19 zenon_Hed zenon_H11f zenon_Hf9 zenon_H9c zenon_Hbb zenon_Hb0 zenon_H71 zenon_H5c zenon_H116 zenon_H110 zenon_H63 zenon_Hfd zenon_H10d zenon_H101 zenon_H115 zenon_H2b zenon_Hf1 zenon_H51 zenon_H130 zenon_Hb4 zenon_Hd3 zenon_H6a zenon_Hd0 zenon_H3b zenon_H2c zenon_H1c zenon_H42.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.01/47.21 apply (zenon_L7_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.01/47.21 apply (zenon_L117_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.01/47.21 apply (zenon_L10_); trivial.
% 47.01/47.21 apply (zenon_L11_); trivial.
% 47.01/47.21 (* end of lemma zenon_L118_ *)
% 47.01/47.21 assert (zenon_L119_ : ((op1 (e13) (e10)) = (e10)) -> ((op1 (e13) (e10)) = (e11)) -> (~((e10) = (e11))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H71 zenon_H15a zenon_H15b.
% 47.01/47.21 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H15c | zenon_intro zenon_H17 ].
% 47.01/47.21 cut (((e11) = (e11)) = ((e10) = (e11))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H15b.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H15c.
% 47.01/47.21 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.01/47.21 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 47.01/47.21 congruence.
% 47.01/47.21 cut (((op1 (e13) (e10)) = (e10)) = ((e11) = (e10))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H15d.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H71.
% 47.01/47.21 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.01/47.21 cut (((op1 (e13) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H15e].
% 47.01/47.21 congruence.
% 47.01/47.21 exact (zenon_H15e zenon_H15a).
% 47.01/47.21 apply zenon_H32. apply refl_equal.
% 47.01/47.21 apply zenon_H17. apply refl_equal.
% 47.01/47.21 apply zenon_H17. apply refl_equal.
% 47.01/47.21 (* end of lemma zenon_L119_ *)
% 47.01/47.21 assert (zenon_L120_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H141 zenon_H4f zenon_H24.
% 47.01/47.21 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ].
% 47.01/47.21 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H24.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H25.
% 47.01/47.21 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.21 cut (((op1 (e10) (e12)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H27].
% 47.01/47.21 congruence.
% 47.01/47.21 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e10) (e10)))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H27.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H141.
% 47.01/47.21 cut (((e11) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 47.01/47.21 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.21 congruence.
% 47.01/47.21 apply zenon_H26. apply refl_equal.
% 47.01/47.21 apply zenon_Hdd. apply sym_equal. exact zenon_H4f.
% 47.01/47.21 apply zenon_H26. apply refl_equal.
% 47.01/47.21 apply zenon_H26. apply refl_equal.
% 47.01/47.21 (* end of lemma zenon_L120_ *)
% 47.01/47.21 assert (zenon_L121_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((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))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e12) = (e13))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H133 zenon_H104 zenon_H129 zenon_H130 zenon_H51 zenon_Hf1 zenon_H12d zenon_H119 zenon_He6 zenon_Hb0 zenon_H115 zenon_H101 zenon_H10d zenon_H5c zenon_H116 zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_Hac zenon_H3b zenon_H2c zenon_Hf9 zenon_Hc5 zenon_H7d zenon_H56 zenon_H2b zenon_H71 zenon_H34 zenon_H19 zenon_Hb4 zenon_H1b zenon_H1c zenon_Hd4 zenon_Hd8.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.01/47.21 apply (zenon_L106_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.01/47.21 apply (zenon_L87_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.01/47.21 apply (zenon_L41_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.21 apply (zenon_L50_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.21 apply (zenon_L51_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.21 apply (zenon_L88_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H5b | zenon_intro zenon_H12e ].
% 47.01/47.21 apply (zenon_L71_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_He5 | zenon_intro zenon_H12f ].
% 47.01/47.21 apply (zenon_L48_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hfb ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.01/47.21 apply (zenon_L10_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.01/47.21 apply (zenon_L41_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.21 apply (zenon_L52_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.21 apply (zenon_L28_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.21 apply (zenon_L78_); trivial.
% 47.01/47.21 apply (zenon_L68_); trivial.
% 47.01/47.21 apply (zenon_L79_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.01/47.21 apply (zenon_L10_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.01/47.21 apply (zenon_L41_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.01/47.21 apply (zenon_L78_); trivial.
% 47.01/47.21 apply (zenon_L84_); trivial.
% 47.01/47.21 (* end of lemma zenon_L121_ *)
% 47.01/47.21 assert (zenon_L122_ : ((op1 (e10) (e13)) = (e11)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e11) = (e12))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H14f zenon_H8e zenon_H51.
% 47.01/47.21 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.01/47.21 cut (((e12) = (e12)) = ((e11) = (e12))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H51.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H52.
% 47.01/47.21 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.21 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 47.01/47.21 congruence.
% 47.01/47.21 cut (((op1 (e10) (e13)) = (e11)) = ((e12) = (e11))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_H54.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H14f.
% 47.01/47.21 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.01/47.21 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H15f].
% 47.01/47.21 congruence.
% 47.01/47.21 exact (zenon_H15f zenon_H8e).
% 47.01/47.21 apply zenon_H17. apply refl_equal.
% 47.01/47.21 apply zenon_H53. apply refl_equal.
% 47.01/47.21 apply zenon_H53. apply refl_equal.
% 47.01/47.21 (* end of lemma zenon_L122_ *)
% 47.01/47.21 assert (zenon_L123_ : ((op1 (e10) (e13)) = (e11)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e11) = (e13))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H14f zenon_Hd7 zenon_Ha9.
% 47.01/47.21 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.01/47.21 cut (((e13) = (e13)) = ((e11) = (e13))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_Ha9.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H36.
% 47.01/47.21 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.01/47.21 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 47.01/47.21 congruence.
% 47.01/47.21 cut (((op1 (e10) (e13)) = (e11)) = ((e13) = (e11))).
% 47.01/47.21 intro zenon_D_pnotp.
% 47.01/47.21 apply zenon_Haa.
% 47.01/47.21 rewrite <- zenon_D_pnotp.
% 47.01/47.21 exact zenon_H14f.
% 47.01/47.21 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.01/47.21 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hda].
% 47.01/47.21 congruence.
% 47.01/47.21 exact (zenon_Hda zenon_Hd7).
% 47.01/47.21 apply zenon_H17. apply refl_equal.
% 47.01/47.21 apply zenon_H37. apply refl_equal.
% 47.01/47.21 apply zenon_H37. apply refl_equal.
% 47.01/47.21 (* end of lemma zenon_L123_ *)
% 47.01/47.21 assert (zenon_L124_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e10) = (e11))) -> False).
% 47.01/47.21 do 0 intro. intros zenon_H160 zenon_H161 zenon_H35 zenon_Hcb zenon_Hb7 zenon_H13e zenon_H14c zenon_H154 zenon_H137 zenon_H157 zenon_H8f zenon_Hdb zenon_H142 zenon_H24 zenon_H162 zenon_H163 zenon_Hbe zenon_Hde zenon_H22 zenon_Hea zenon_Ha9 zenon_H48 zenon_Hd8 zenon_Hd4 zenon_H1b zenon_Hb4 zenon_H19 zenon_H2b zenon_H56 zenon_Hc5 zenon_Hf9 zenon_Hac zenon_Hfd zenon_H63 zenon_H110 zenon_H116 zenon_H5c zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_He6 zenon_H119 zenon_H12d zenon_Hf1 zenon_H51 zenon_H130 zenon_H129 zenon_H104 zenon_H133 zenon_H4b zenon_Hd0 zenon_H6a zenon_H9c zenon_H11f zenon_H11b zenon_H125 zenon_H149 zenon_H3b zenon_H2c zenon_H1c zenon_H42 zenon_H150 zenon_H164 zenon_H15b.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H23 | zenon_intro zenon_H165 ].
% 47.01/47.21 apply (zenon_L5_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H33 | zenon_intro zenon_H166 ].
% 47.01/47.21 apply (zenon_L12_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H4c | zenon_intro zenon_H71 ].
% 47.01/47.21 apply (zenon_L13_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.01/47.21 apply (zenon_L14_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.01/47.21 apply (zenon_L15_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.01/47.21 apply (zenon_L16_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.01/47.21 apply (zenon_L7_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.01/47.21 apply (zenon_L7_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.01/47.21 apply (zenon_L10_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.01/47.21 apply (zenon_L17_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H62 | zenon_intro zenon_H111 ].
% 47.01/47.21 apply (zenon_L18_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H112 ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.01/47.21 apply (zenon_L19_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.01/47.21 apply (zenon_L27_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.01/47.21 apply (zenon_L28_); trivial.
% 47.01/47.21 apply (zenon_L29_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Ha8 ].
% 47.01/47.21 apply (zenon_L30_); trivial.
% 47.01/47.21 apply (zenon_L39_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hcc ].
% 47.01/47.21 apply (zenon_L31_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hcd ].
% 47.01/47.21 apply (zenon_L32_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H8b | zenon_intro zenon_Hc4 ].
% 47.01/47.21 apply (zenon_L39_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.01/47.21 apply (zenon_L19_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.01/47.21 apply (zenon_L42_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.01/47.21 apply (zenon_L28_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.01/47.21 apply (zenon_L20_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.01/47.21 apply (zenon_L37_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.01/47.21 apply (zenon_L33_); trivial.
% 47.01/47.21 apply (zenon_L24_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.01/47.21 apply (zenon_L10_); trivial.
% 47.01/47.21 apply (zenon_L11_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.01/47.21 apply (zenon_L31_); trivial.
% 47.01/47.21 apply (zenon_L44_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.01/47.21 apply (zenon_L45_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.01/47.21 apply (zenon_L49_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.01/47.21 apply (zenon_L7_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.01/47.21 apply (zenon_L7_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.21 apply (zenon_L50_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.21 apply (zenon_L51_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.21 apply (zenon_L69_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.01/47.21 apply (zenon_L10_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.01/47.21 apply (zenon_L17_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.01/47.21 apply (zenon_L113_); trivial.
% 47.01/47.21 apply (zenon_L84_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.01/47.21 apply (zenon_L10_); trivial.
% 47.01/47.21 apply (zenon_L11_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.01/47.21 apply (zenon_L118_); trivial.
% 47.01/47.21 apply (zenon_L91_); trivial.
% 47.01/47.21 apply (zenon_L119_); trivial.
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.01/47.21 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.01/47.22 apply (zenon_L120_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.01/47.22 apply (zenon_L49_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.01/47.22 apply (zenon_L7_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H14a ].
% 47.01/47.22 apply (zenon_L94_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H14b ].
% 47.01/47.22 apply (zenon_L95_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H147 | zenon_intro zenon_H7d ].
% 47.01/47.22 apply (zenon_L96_); trivial.
% 47.01/47.22 apply (zenon_L121_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.01/47.22 apply (zenon_L10_); trivial.
% 47.01/47.22 apply (zenon_L11_); trivial.
% 47.01/47.22 apply (zenon_L119_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.01/47.22 apply (zenon_L14_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.01/47.22 apply (zenon_L15_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.01/47.22 apply (zenon_L16_); trivial.
% 47.01/47.22 apply (zenon_L122_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.01/47.22 apply (zenon_L49_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.01/47.22 apply (zenon_L7_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.01/47.22 apply (zenon_L107_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.01/47.22 apply (zenon_L7_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H14a ].
% 47.01/47.22 apply (zenon_L117_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H14b ].
% 47.01/47.22 apply (zenon_L95_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H147 | zenon_intro zenon_H7d ].
% 47.01/47.22 apply (zenon_L96_); trivial.
% 47.01/47.22 apply (zenon_L121_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.01/47.22 apply (zenon_L10_); trivial.
% 47.01/47.22 apply (zenon_L11_); trivial.
% 47.01/47.22 apply (zenon_L123_); trivial.
% 47.01/47.22 apply (zenon_L119_); trivial.
% 47.01/47.22 (* end of lemma zenon_L124_ *)
% 47.01/47.22 assert (zenon_L125_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H13d zenon_H23 zenon_H16f.
% 47.01/47.22 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H13f | zenon_intro zenon_Hba ].
% 47.01/47.22 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H16f.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H13f.
% 47.01/47.22 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.01/47.22 cut (((op1 (e10) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H170].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e10) (e10)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H170.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H13d.
% 47.01/47.22 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H28].
% 47.01/47.22 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_Hba. apply refl_equal.
% 47.01/47.22 apply zenon_H28. apply sym_equal. exact zenon_H23.
% 47.01/47.22 apply zenon_Hba. apply refl_equal.
% 47.01/47.22 apply zenon_Hba. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L125_ *)
% 47.01/47.22 assert (zenon_L126_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e10)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H171 zenon_H13d zenon_H172.
% 47.01/47.22 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H171.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H13d.
% 47.01/47.22 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H173].
% 47.01/47.22 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_Hba. apply refl_equal.
% 47.01/47.22 apply zenon_H173. apply sym_equal. exact zenon_H172.
% 47.01/47.22 (* end of lemma zenon_L126_ *)
% 47.01/47.22 assert (zenon_L127_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H174 zenon_H175 zenon_Ha7.
% 47.01/47.22 cut (((op1 (e11) (e13)) = (e11)) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H174.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H175.
% 47.01/47.22 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 47.01/47.22 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H139. apply refl_equal.
% 47.01/47.22 apply zenon_Hfe. apply sym_equal. exact zenon_Ha7.
% 47.01/47.22 (* end of lemma zenon_L127_ *)
% 47.01/47.22 assert (zenon_L128_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H10d zenon_H101 zenon_H104 zenon_H5b zenon_H119 zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_Ha8 zenon_Hf9 zenon_Hff.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H10e ].
% 47.01/47.22 apply (zenon_L56_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H105 | zenon_intro zenon_H10f ].
% 47.01/47.22 apply (zenon_L57_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hc4 ].
% 47.01/47.22 apply (zenon_L70_); trivial.
% 47.01/47.22 apply (zenon_L60_); trivial.
% 47.01/47.22 (* end of lemma zenon_L128_ *)
% 47.01/47.22 assert (zenon_L129_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_Hd0 zenon_H6a zenon_H1c zenon_H5f zenon_H56 zenon_H119 zenon_H5b zenon_H104 zenon_H101 zenon_H10d zenon_Hb0 zenon_H19 zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Ha8 zenon_Hf9 zenon_Hff zenon_Hc4.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.01/47.22 apply (zenon_L19_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.01/47.22 apply (zenon_L128_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.01/47.22 apply (zenon_L28_); trivial.
% 47.01/47.22 apply (zenon_L66_); trivial.
% 47.01/47.22 (* end of lemma zenon_L129_ *)
% 47.01/47.22 assert (zenon_L130_ : (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H115 zenon_Hd0 zenon_H6a zenon_H1c zenon_H5f zenon_H56 zenon_H119 zenon_H5b zenon_H104 zenon_H101 zenon_H10d zenon_Hb0 zenon_H19 zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Ha8 zenon_Hf9 zenon_Hff.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.01/47.22 apply (zenon_L19_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.01/47.22 apply (zenon_L128_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.01/47.22 apply (zenon_L28_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H10e ].
% 47.01/47.22 apply (zenon_L56_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H105 | zenon_intro zenon_H10f ].
% 47.01/47.22 apply (zenon_L65_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hc4 ].
% 47.01/47.22 apply (zenon_L70_); trivial.
% 47.01/47.22 apply (zenon_L129_); trivial.
% 47.01/47.22 (* end of lemma zenon_L130_ *)
% 47.01/47.22 assert (zenon_L131_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H110 zenon_H63 zenon_H175 zenon_H174 zenon_H115 zenon_Hd0 zenon_H6a zenon_H1c zenon_H5f zenon_H56 zenon_H119 zenon_H5b zenon_H104 zenon_H101 zenon_H10d zenon_Hb0 zenon_H19 zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_Hf9 zenon_Hff.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H62 | zenon_intro zenon_H111 ].
% 47.01/47.22 apply (zenon_L18_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H112 ].
% 47.01/47.22 apply (zenon_L127_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Ha8 ].
% 47.01/47.22 apply (zenon_L55_); trivial.
% 47.01/47.22 apply (zenon_L130_); trivial.
% 47.01/47.22 (* end of lemma zenon_L131_ *)
% 47.01/47.22 assert (zenon_L132_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H19 zenon_H176 zenon_H177.
% 47.01/47.22 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 47.01/47.22 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e11)) = (op1 (e11) (e13)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H177.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H138.
% 47.01/47.22 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 47.01/47.22 cut (((op1 (e11) (e13)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H178].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e11) (e13)) = (op1 (e11) (e11)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H178.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H19.
% 47.01/47.22 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.01/47.22 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H179].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 47.01/47.22 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e12) = (op1 (e11) (e13)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H179.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H138.
% 47.01/47.22 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 47.01/47.22 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H17a].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H17a zenon_H176).
% 47.01/47.22 apply zenon_H139. apply refl_equal.
% 47.01/47.22 apply zenon_H139. apply refl_equal.
% 47.01/47.22 apply zenon_H58. apply refl_equal.
% 47.01/47.22 apply zenon_H139. apply refl_equal.
% 47.01/47.22 apply zenon_H139. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L132_ *)
% 47.01/47.22 assert (zenon_L133_ : ((op1 (e10) (e12)) = (e12)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e12) = (e13))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H5b zenon_Hbb zenon_Hd8.
% 47.01/47.22 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.01/47.22 cut (((e13) = (e13)) = ((e12) = (e13))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_Hd8.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H36.
% 47.01/47.22 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.01/47.22 cut (((e13) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op1 (e10) (e12)) = (e12)) = ((e13) = (e12))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_Hd9.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H5b.
% 47.01/47.22 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.22 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_Hbc zenon_Hbb).
% 47.01/47.22 apply zenon_H53. apply refl_equal.
% 47.01/47.22 apply zenon_H37. apply refl_equal.
% 47.01/47.22 apply zenon_H37. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L133_ *)
% 47.01/47.22 assert (zenon_L134_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e13)) -> (~((e10) = (e13))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H13d zenon_Hd7 zenon_H35.
% 47.01/47.22 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.01/47.22 cut (((e13) = (e13)) = ((e10) = (e13))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H35.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H36.
% 47.01/47.22 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.01/47.22 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op1 (e10) (e13)) = (e10)) = ((e13) = (e10))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H38.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H13d.
% 47.01/47.22 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.01/47.22 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hda].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_Hda zenon_Hd7).
% 47.01/47.22 apply zenon_H32. apply refl_equal.
% 47.01/47.22 apply zenon_H37. apply refl_equal.
% 47.01/47.22 apply zenon_H37. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L134_ *)
% 47.01/47.22 assert (zenon_L135_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> (~((e10) = (e12))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H13d zenon_H8e zenon_H5c.
% 47.01/47.22 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.01/47.22 cut (((e12) = (e12)) = ((e10) = (e12))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H5c.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H52.
% 47.01/47.22 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.01/47.22 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op1 (e10) (e13)) = (e10)) = ((e12) = (e10))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H5d.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H13d.
% 47.01/47.22 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.01/47.22 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H15f].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H15f zenon_H8e).
% 47.01/47.22 apply zenon_H32. apply refl_equal.
% 47.01/47.22 apply zenon_H53. apply refl_equal.
% 47.01/47.22 apply zenon_H53. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L135_ *)
% 47.01/47.22 assert (zenon_L136_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H17b zenon_H13d zenon_H171 zenon_He1 zenon_H177 zenon_H19 zenon_H2c zenon_H1c zenon_H137.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H172 | zenon_intro zenon_H17c ].
% 47.01/47.22 apply (zenon_L126_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H175 | zenon_intro zenon_H17d ].
% 47.01/47.22 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H137.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_He1.
% 47.01/47.22 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 47.01/47.22 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_He4. apply refl_equal.
% 47.01/47.22 apply zenon_H17e. apply sym_equal. exact zenon_H175.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H176 | zenon_intro zenon_H136 ].
% 47.01/47.22 apply (zenon_L132_); trivial.
% 47.01/47.22 apply (zenon_L92_); trivial.
% 47.01/47.22 (* end of lemma zenon_L136_ *)
% 47.01/47.22 assert (zenon_L137_ : (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H9c zenon_H5b zenon_Hfa.
% 47.01/47.22 cut (((op1 (e10) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e12) (e12)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H9c.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H5b.
% 47.01/47.22 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 47.01/47.22 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H26. apply refl_equal.
% 47.01/47.22 apply zenon_H17f. apply sym_equal. exact zenon_Hfa.
% 47.01/47.22 (* end of lemma zenon_L137_ *)
% 47.01/47.22 assert (zenon_L138_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H130 zenon_H51 zenon_Hed zenon_Hf1 zenon_H9c zenon_H116 zenon_H5c zenon_H71 zenon_Hb0 zenon_H19 zenon_H5b zenon_H119 zenon_Hc5.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.01/47.22 apply (zenon_L50_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.01/47.22 apply (zenon_L51_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.01/47.22 apply (zenon_L137_); trivial.
% 47.01/47.22 apply (zenon_L71_); trivial.
% 47.01/47.22 (* end of lemma zenon_L138_ *)
% 47.01/47.22 assert (zenon_L139_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (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) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((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)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (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) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e13) (e10)) = (e10)) -> (~((e10) = (e11))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H162 zenon_Hdb zenon_H137 zenon_H177 zenon_H171 zenon_H17b zenon_H42 zenon_H1c zenon_H2c zenon_H3b zenon_Hd0 zenon_H6a zenon_Hd3 zenon_Hb4 zenon_H130 zenon_H51 zenon_Hf1 zenon_H2b zenon_H115 zenon_H101 zenon_H10d zenon_Hfd zenon_H63 zenon_H110 zenon_H116 zenon_H5c zenon_Hb0 zenon_H9c zenon_Hf9 zenon_H11f zenon_H19 zenon_H11b zenon_H125 zenon_Hc5 zenon_H48 zenon_H119 zenon_H142 zenon_H13d zenon_H13e zenon_H14c zenon_H71 zenon_H15b.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.01/47.22 apply (zenon_L45_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.01/47.22 apply (zenon_L136_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H22 | zenon_intro zenon_H14d ].
% 47.01/47.22 apply (zenon_L93_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H141 | zenon_intro zenon_H14e ].
% 47.01/47.22 apply (zenon_L94_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H5b | zenon_intro zenon_Hbb ].
% 47.01/47.22 apply (zenon_L138_); trivial.
% 47.01/47.22 apply (zenon_L118_); trivial.
% 47.01/47.22 apply (zenon_L119_); trivial.
% 47.01/47.22 (* end of lemma zenon_L139_ *)
% 47.01/47.22 assert (zenon_L140_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e13)) -> (~((e11) = (e13))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H141 zenon_Hbb zenon_Ha9.
% 47.01/47.22 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.01/47.22 cut (((e13) = (e13)) = ((e11) = (e13))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_Ha9.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H36.
% 47.01/47.22 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.01/47.22 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op1 (e10) (e12)) = (e11)) = ((e13) = (e11))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_Haa.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H141.
% 47.01/47.22 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.01/47.22 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_Hbc zenon_Hbb).
% 47.01/47.22 apply zenon_H17. apply refl_equal.
% 47.01/47.22 apply zenon_H37. apply refl_equal.
% 47.01/47.22 apply zenon_H37. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L140_ *)
% 47.01/47.22 assert (zenon_L141_ : ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (e13)) = (e11)) -> (~((e10) = (e11))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H13d zenon_H14f zenon_H15b.
% 47.01/47.22 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H15c | zenon_intro zenon_H17 ].
% 47.01/47.22 cut (((e11) = (e11)) = ((e10) = (e11))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H15b.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H15c.
% 47.01/47.22 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.01/47.22 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op1 (e10) (e13)) = (e10)) = ((e11) = (e10))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H15d.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H13d.
% 47.01/47.22 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.01/47.22 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H180].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H180 zenon_H14f).
% 47.01/47.22 apply zenon_H32. apply refl_equal.
% 47.01/47.22 apply zenon_H17. apply refl_equal.
% 47.01/47.22 apply zenon_H17. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L141_ *)
% 47.01/47.22 assert (zenon_L142_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (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)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> ((op1 (e10) (e13)) = (e10)) -> (~((e10) = (e11))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H160 zenon_H16f zenon_H161 zenon_H104 zenon_H174 zenon_H163 zenon_H14c zenon_H13e zenon_H125 zenon_H11b zenon_H11f zenon_H9c zenon_H115 zenon_Hb4 zenon_H6a zenon_Hd0 zenon_Hdb zenon_H164 zenon_H42 zenon_H1c zenon_H2c zenon_H3b zenon_H149 zenon_H142 zenon_H4b zenon_H130 zenon_H51 zenon_Hf1 zenon_H119 zenon_H101 zenon_H10d zenon_Hfd zenon_H63 zenon_H110 zenon_Hac zenon_H1b zenon_Hc5 zenon_H2b zenon_H56 zenon_Hf9 zenon_H19 zenon_Hb0 zenon_H5c zenon_H116 zenon_Hd8 zenon_H48 zenon_Ha9 zenon_H35 zenon_H17b zenon_H171 zenon_H177 zenon_H137 zenon_H24 zenon_H162 zenon_H13d zenon_H15b.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H23 | zenon_intro zenon_H165 ].
% 47.01/47.22 apply (zenon_L125_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H33 | zenon_intro zenon_H166 ].
% 47.01/47.22 apply (zenon_L12_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H4c | zenon_intro zenon_H71 ].
% 47.01/47.22 apply (zenon_L13_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.01/47.22 apply (zenon_L14_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.01/47.22 apply (zenon_L15_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.01/47.22 apply (zenon_L7_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.01/47.22 apply (zenon_L7_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.01/47.22 apply (zenon_L52_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.01/47.22 apply (zenon_L28_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.01/47.22 apply (zenon_L70_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H172 | zenon_intro zenon_H17c ].
% 47.01/47.22 apply (zenon_L126_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H175 | zenon_intro zenon_H17d ].
% 47.01/47.22 apply (zenon_L131_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H176 | zenon_intro zenon_H136 ].
% 47.01/47.22 apply (zenon_L132_); trivial.
% 47.01/47.22 apply (zenon_L92_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.01/47.22 apply (zenon_L10_); trivial.
% 47.01/47.22 apply (zenon_L11_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.01/47.22 apply (zenon_L133_); trivial.
% 47.01/47.22 apply (zenon_L134_); trivial.
% 47.01/47.22 apply (zenon_L135_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.01/47.22 apply (zenon_L139_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.01/47.22 apply (zenon_L120_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.01/47.22 apply (zenon_L136_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.01/47.22 apply (zenon_L7_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.01/47.22 apply (zenon_L101_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.01/47.22 apply (zenon_L140_); trivial.
% 47.01/47.22 apply (zenon_L134_); trivial.
% 47.01/47.22 apply (zenon_L119_); trivial.
% 47.01/47.22 apply (zenon_L141_); trivial.
% 47.01/47.22 (* end of lemma zenon_L142_ *)
% 47.01/47.22 assert (zenon_L143_ : (~((e21) = (e21))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H181.
% 47.01/47.22 apply zenon_H181. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L143_ *)
% 47.01/47.22 assert (zenon_L144_ : (~((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H182 zenon_H183.
% 47.01/47.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.01/47.22 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H184. apply sym_equal. exact zenon_H183.
% 47.01/47.22 apply zenon_H181. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L144_ *)
% 47.01/47.22 assert (zenon_L145_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e21)) = (e20)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H185 zenon_H14 zenon_H186 zenon_H183.
% 47.01/47.22 cut (((e20) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H185.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H14.
% 47.01/47.22 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 47.01/47.22 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H187].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 47.01/47.22 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e20) = (op2 (e20) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H187.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H188.
% 47.01/47.22 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 47.01/47.22 cut (((op2 (e20) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H18a].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H18a zenon_H186).
% 47.01/47.22 apply zenon_H189. apply refl_equal.
% 47.01/47.22 apply zenon_H189. apply refl_equal.
% 47.01/47.22 apply (zenon_L144_); trivial.
% 47.01/47.22 (* end of lemma zenon_L145_ *)
% 47.01/47.22 assert (zenon_L146_ : ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H18b zenon_H18c zenon_H18d.
% 47.01/47.22 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H18e | zenon_intro zenon_H18f ].
% 47.01/47.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H18d.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H18e.
% 47.01/47.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.01/47.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e20) (e22)) = (e20)) = ((op2 (e20) (e22)) = (op2 (e20) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H190.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H18b.
% 47.01/47.22 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H191].
% 47.01/47.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H18f. apply refl_equal.
% 47.01/47.22 apply zenon_H191. apply sym_equal. exact zenon_H18c.
% 47.01/47.22 apply zenon_H18f. apply refl_equal.
% 47.01/47.22 apply zenon_H18f. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L146_ *)
% 47.01/47.22 assert (zenon_L147_ : (~((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e21) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H192 zenon_H14.
% 47.01/47.22 cut (((op2 (op2 (e21) (e21)) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 47.01/47.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H181. apply refl_equal.
% 47.01/47.22 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 47.01/47.22 (* end of lemma zenon_L147_ *)
% 47.01/47.22 assert (zenon_L148_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e20) (e20)) = (e23)) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H193 zenon_H194 zenon_H195 zenon_H14.
% 47.01/47.22 cut (((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H193.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H194.
% 47.01/47.22 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 47.01/47.22 cut (((e23) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H196].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H197 | zenon_intro zenon_H198 ].
% 47.01/47.22 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e23) = (op2 (e20) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H196.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H197.
% 47.01/47.22 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 47.01/47.22 cut (((op2 (e20) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H199 zenon_H195).
% 47.01/47.22 apply zenon_H198. apply refl_equal.
% 47.01/47.22 apply zenon_H198. apply refl_equal.
% 47.01/47.22 apply (zenon_L147_); trivial.
% 47.01/47.22 (* end of lemma zenon_L148_ *)
% 47.01/47.22 assert (zenon_L149_ : (~((e20) = (e20))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H19a.
% 47.01/47.22 apply zenon_H19a. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L149_ *)
% 47.01/47.22 assert (zenon_L150_ : ((op2 (e21) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> (~((e20) = (e23))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H19b zenon_H19c zenon_H19d.
% 47.01/47.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.01/47.22 cut (((e23) = (e23)) = ((e20) = (e23))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H19d.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H19e.
% 47.01/47.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.01/47.22 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e21) (e20)) = (e20)) = ((e23) = (e20))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1a0.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H19b.
% 47.01/47.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.01/47.22 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1a1 zenon_H19c).
% 47.01/47.22 apply zenon_H19a. apply refl_equal.
% 47.01/47.22 apply zenon_H19f. apply refl_equal.
% 47.01/47.22 apply zenon_H19f. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L150_ *)
% 47.01/47.22 assert (zenon_L151_ : ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e22) (e20)) = (e23)) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H194 zenon_H1a2 zenon_H14 zenon_H1a3.
% 47.01/47.22 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a5 ].
% 47.01/47.22 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1a3.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1a4.
% 47.01/47.22 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 47.01/47.22 cut (((op2 (e22) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a6].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e22) (e20)) = (op2 (e21) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1a6.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H194.
% 47.01/47.22 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 47.01/47.22 cut (((e23) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a7].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a5 ].
% 47.01/47.22 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e23) = (op2 (e22) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1a7.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1a4.
% 47.01/47.22 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 47.01/47.22 cut (((op2 (e22) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1a8 zenon_H1a2).
% 47.01/47.22 apply zenon_H1a5. apply refl_equal.
% 47.01/47.22 apply zenon_H1a5. apply refl_equal.
% 47.01/47.22 apply (zenon_L147_); trivial.
% 47.01/47.22 apply zenon_H1a5. apply refl_equal.
% 47.01/47.22 apply zenon_H1a5. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L151_ *)
% 47.01/47.22 assert (zenon_L152_ : ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H194 zenon_H1a9 zenon_H14 zenon_H1aa.
% 47.01/47.22 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1ac ].
% 47.01/47.22 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1aa.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ab.
% 47.01/47.22 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 47.01/47.22 cut (((op2 (e23) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ad].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e23) (e20)) = (op2 (e21) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1ad.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H194.
% 47.01/47.22 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 47.01/47.22 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1ac ].
% 47.01/47.22 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e23) = (op2 (e23) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1ae.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ab.
% 47.01/47.22 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 47.01/47.22 cut (((op2 (e23) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1af].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1af zenon_H1a9).
% 47.01/47.22 apply zenon_H1ac. apply refl_equal.
% 47.01/47.22 apply zenon_H1ac. apply refl_equal.
% 47.01/47.22 apply (zenon_L147_); trivial.
% 47.01/47.22 apply zenon_H1ac. apply refl_equal.
% 47.01/47.22 apply zenon_H1ac. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L152_ *)
% 47.01/47.22 assert (zenon_L153_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e23))) -> ((op2 (e21) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1b0 zenon_H193 zenon_H19d zenon_H19b zenon_H1a3 zenon_H194 zenon_H14 zenon_H1aa.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.01/47.22 apply (zenon_L148_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.01/47.22 apply (zenon_L150_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.01/47.22 apply (zenon_L151_); trivial.
% 47.01/47.22 apply (zenon_L152_); trivial.
% 47.01/47.22 (* end of lemma zenon_L153_ *)
% 47.01/47.22 assert (zenon_L154_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e20)) = (e20)) -> ((e22) = (op2 (e21) (e21))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1b3 zenon_H14 zenon_H1b4 zenon_H183.
% 47.01/47.22 cut (((e20) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1b3.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H14.
% 47.01/47.22 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 47.01/47.22 cut (((e20) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1b5].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a5 ].
% 47.01/47.22 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((e20) = (op2 (e22) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1b5.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1a4.
% 47.01/47.22 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 47.01/47.22 cut (((op2 (e22) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1b6].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1b6 zenon_H1b4).
% 47.01/47.22 apply zenon_H1a5. apply refl_equal.
% 47.01/47.22 apply zenon_H1a5. apply refl_equal.
% 47.01/47.22 apply (zenon_L144_); trivial.
% 47.01/47.22 (* end of lemma zenon_L154_ *)
% 47.01/47.22 assert (zenon_L155_ : ((op2 (e20) (e20)) = (e21)) -> ((op2 (e20) (e20)) = (e22)) -> (~((e21) = (e22))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1b7 zenon_H1b8 zenon_H1b9.
% 47.01/47.22 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.01/47.22 cut (((e22) = (e22)) = ((e21) = (e22))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1b9.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ba.
% 47.01/47.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.01/47.22 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e20) (e20)) = (e21)) = ((e22) = (e21))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1bc.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1b7.
% 47.01/47.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.01/47.22 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1bd zenon_H1b8).
% 47.01/47.22 apply zenon_H181. apply refl_equal.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L155_ *)
% 47.01/47.22 assert (zenon_L156_ : (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e21)) = (e22)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1be zenon_H183 zenon_H1bf.
% 47.01/47.22 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1be.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H183.
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.01/47.22 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 47.01/47.22 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e22) = (op2 (e20) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1c1.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H188.
% 47.01/47.22 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 47.01/47.22 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1c2 zenon_H1bf).
% 47.01/47.22 apply zenon_H189. apply refl_equal.
% 47.01/47.22 apply zenon_H189. apply refl_equal.
% 47.01/47.22 apply zenon_H1c0. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L156_ *)
% 47.01/47.22 assert (zenon_L157_ : ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((e20) = (e22))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H18b zenon_H1c3 zenon_H1c4.
% 47.01/47.22 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.01/47.22 cut (((e22) = (e22)) = ((e20) = (e22))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1c4.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ba.
% 47.01/47.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.01/47.22 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e20) (e22)) = (e20)) = ((e22) = (e20))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1c5.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H18b.
% 47.01/47.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.01/47.22 cut (((op2 (e20) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c6].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1c6 zenon_H1c3).
% 47.01/47.22 apply zenon_H19a. apply refl_equal.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L157_ *)
% 47.01/47.22 assert (zenon_L158_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e22)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1c7 zenon_H183 zenon_H1c8.
% 47.01/47.22 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1c7.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H183.
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.01/47.22 cut (((e22) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1c9].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1cb ].
% 47.01/47.22 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((e22) = (op2 (e21) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1c9.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ca.
% 47.01/47.22 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 47.01/47.22 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1cc zenon_H1c8).
% 47.01/47.22 apply zenon_H1cb. apply refl_equal.
% 47.01/47.22 apply zenon_H1cb. apply refl_equal.
% 47.01/47.22 apply zenon_H1c0. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L158_ *)
% 47.01/47.22 assert (zenon_L159_ : (~((e22) = (e22))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1bb.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L159_ *)
% 47.01/47.22 assert (zenon_L160_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e21)) = (e20)) -> (~((e20) = (e22))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H183 zenon_H1cd zenon_H1c4.
% 47.01/47.22 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.01/47.22 cut (((e22) = (e22)) = ((e20) = (e22))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1c4.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ba.
% 47.01/47.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.01/47.22 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e22) = (op2 (e21) (e21))) = ((e22) = (e20))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1c5.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H183.
% 47.01/47.22 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 47.01/47.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 exact (zenon_H1ce zenon_H1cd).
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L160_ *)
% 47.01/47.22 assert (zenon_L161_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e21) (e22)) = (e20)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1cf zenon_H18b zenon_H1d0.
% 47.01/47.22 cut (((op2 (e20) (e22)) = (e20)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1cf.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H18b.
% 47.01/47.22 cut (((e20) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1d1].
% 47.01/47.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H18f. apply refl_equal.
% 47.01/47.22 apply zenon_H1d1. apply sym_equal. exact zenon_H1d0.
% 47.01/47.22 (* end of lemma zenon_L161_ *)
% 47.01/47.22 assert (zenon_L162_ : ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e20)) = (e23)) -> (~((e21) = (e23))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1d2 zenon_H19c zenon_H1d3.
% 47.01/47.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.01/47.22 cut (((e23) = (e23)) = ((e21) = (e23))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1d3.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H19e.
% 47.01/47.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.01/47.22 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e21) (e20)) = (e21)) = ((e23) = (e21))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1d4.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1d2.
% 47.01/47.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.01/47.22 cut (((op2 (e21) (e20)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1a1 zenon_H19c).
% 47.01/47.22 apply zenon_H181. apply refl_equal.
% 47.01/47.22 apply zenon_H19f. apply refl_equal.
% 47.01/47.22 apply zenon_H19f. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L162_ *)
% 47.01/47.22 assert (zenon_L163_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((e21) = (e22))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H183 zenon_H1d5 zenon_H1b9.
% 47.01/47.22 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.01/47.22 cut (((e22) = (e22)) = ((e21) = (e22))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1b9.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ba.
% 47.01/47.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.01/47.22 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e22) = (op2 (e21) (e21))) = ((e22) = (e21))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1bc.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H183.
% 47.01/47.22 cut (((op2 (e21) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 47.01/47.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 exact (zenon_H1d6 zenon_H1d5).
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L163_ *)
% 47.01/47.22 assert (zenon_L164_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H185 zenon_H1d7 zenon_H1d8.
% 47.01/47.22 cut (((op2 (e20) (e21)) = (e23)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H185.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1d7.
% 47.01/47.22 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 47.01/47.22 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H189. apply refl_equal.
% 47.01/47.22 apply zenon_H1d9. apply sym_equal. exact zenon_H1d8.
% 47.01/47.22 (* end of lemma zenon_L164_ *)
% 47.01/47.22 assert (zenon_L165_ : ((op2 (e20) (e23)) = (e21)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e21) = (e22))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1da zenon_H1db zenon_H1b9.
% 47.01/47.22 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.01/47.22 cut (((e22) = (e22)) = ((e21) = (e22))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1b9.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ba.
% 47.01/47.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.01/47.22 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e20) (e23)) = (e21)) = ((e22) = (e21))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1bc.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1da.
% 47.01/47.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.01/47.22 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1dc].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1dc zenon_H1db).
% 47.01/47.22 apply zenon_H181. apply refl_equal.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L165_ *)
% 47.01/47.22 assert (zenon_L166_ : ((op2 (e21) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e21)) -> (~((e20) = (e21))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1dd zenon_H1de zenon_H1df.
% 47.01/47.22 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H181 ].
% 47.01/47.22 cut (((e21) = (e21)) = ((e20) = (e21))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1df.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1e0.
% 47.01/47.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.01/47.22 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e21) (e23)) = (e20)) = ((e21) = (e20))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1e1.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1dd.
% 47.01/47.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.01/47.22 cut (((op2 (e21) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1e2].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1e2 zenon_H1de).
% 47.01/47.22 apply zenon_H19a. apply refl_equal.
% 47.01/47.22 apply zenon_H181. apply refl_equal.
% 47.01/47.22 apply zenon_H181. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L166_ *)
% 47.01/47.22 assert (zenon_L167_ : ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e21)) = (e20)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H14 zenon_H1e3 zenon_H183 zenon_H1e4.
% 47.01/47.22 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e6 ].
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1e4.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1e5.
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e20) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e23) (e21)) = (op2 (e22) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1e7.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H14.
% 47.01/47.22 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 47.01/47.22 cut (((e20) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e6 ].
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e20) = (op2 (e23) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1e8.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1e5.
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 47.01/47.22 cut (((op2 (e23) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1e9 zenon_H1e3).
% 47.01/47.22 apply zenon_H1e6. apply refl_equal.
% 47.01/47.22 apply zenon_H1e6. apply refl_equal.
% 47.01/47.22 apply (zenon_L144_); trivial.
% 47.01/47.22 apply zenon_H1e6. apply refl_equal.
% 47.01/47.22 apply zenon_H1e6. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L167_ *)
% 47.01/47.22 assert (zenon_L168_ : ((op2 (e22) (e21)) = (e20)) -> ((op2 (e22) (e21)) = (e23)) -> (~((e20) = (e23))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1ea zenon_H1d8 zenon_H19d.
% 47.01/47.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.01/47.22 cut (((e23) = (e23)) = ((e20) = (e23))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H19d.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H19e.
% 47.01/47.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.01/47.22 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e22) (e21)) = (e20)) = ((e23) = (e20))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1a0.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ea.
% 47.01/47.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.01/47.22 cut (((op2 (e22) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H1eb zenon_H1d8).
% 47.01/47.22 apply zenon_H19a. apply refl_equal.
% 47.01/47.22 apply zenon_H19f. apply refl_equal.
% 47.01/47.22 apply zenon_H19f. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L168_ *)
% 47.01/47.22 assert (zenon_L169_ : (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (e20))/\(((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (e21))/\(((op2 (op2 (e22) (e20)) (op2 (e22) (e20))) = (e22))/\((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1ec zenon_H193 zenon_H1ed zenon_H19c.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1f3. zenon_intro zenon_H1f2.
% 47.01/47.22 cut (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e23)) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H193.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1f2.
% 47.01/47.22 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 47.01/47.22 cut (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f5].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H197 | zenon_intro zenon_H198 ].
% 47.01/47.22 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (op2 (e20) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1f5.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H197.
% 47.01/47.22 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 47.01/47.22 cut (((op2 (e20) (e20)) = (op2 (op2 (e23) (e20)) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f7].
% 47.01/47.22 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f7].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H1f7. apply sym_equal. exact zenon_H1ed.
% 47.01/47.22 apply zenon_H1f7. apply sym_equal. exact zenon_H1ed.
% 47.01/47.22 apply zenon_H198. apply refl_equal.
% 47.01/47.22 apply zenon_H198. apply refl_equal.
% 47.01/47.22 apply zenon_H1f4. apply sym_equal. exact zenon_H19c.
% 47.01/47.22 (* end of lemma zenon_L169_ *)
% 47.01/47.22 assert (zenon_L170_ : (((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (e20))/\(((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (e21))/\(((op2 (op2 (e22) (e21)) (op2 (e22) (e21))) = (e22))/\((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (e23))))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1f8 zenon_H1f9 zenon_H1d7 zenon_H1be.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 47.01/47.22 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H1c0 ].
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e21)) = (op2 (e21) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1be.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H200.
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H201].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (e23)) = ((op2 (e21) (e21)) = (op2 (e20) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H201.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1fe.
% 47.01/47.22 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H202].
% 47.01/47.22 cut (((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H1c0 ].
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (op2 (e21) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H203.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H200.
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (op2 (e23) (e21)) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H204].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H205].
% 47.01/47.22 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H205].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H205. apply sym_equal. exact zenon_H1f9.
% 47.01/47.22 apply zenon_H205. apply sym_equal. exact zenon_H1f9.
% 47.01/47.22 apply zenon_H1c0. apply refl_equal.
% 47.01/47.22 apply zenon_H1c0. apply refl_equal.
% 47.01/47.22 apply zenon_H202. apply sym_equal. exact zenon_H1d7.
% 47.01/47.22 apply zenon_H1c0. apply refl_equal.
% 47.01/47.22 apply zenon_H1c0. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L170_ *)
% 47.01/47.22 assert (zenon_L171_ : (~((op2 (e23) (e23)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))) -> ((op2 (e22) (e22)) = (e23)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H206 zenon_H207.
% 47.01/47.22 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 47.01/47.22 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H208. apply sym_equal. exact zenon_H207.
% 47.01/47.22 apply zenon_H208. apply sym_equal. exact zenon_H207.
% 47.01/47.22 (* end of lemma zenon_L171_ *)
% 47.01/47.22 assert (zenon_L172_ : (((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e20))/\(((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e21))/\(((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22))/\((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e23))))) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H209 zenon_H207 zenon_H1db zenon_H20a.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f.
% 47.01/47.22 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H20a.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H211.
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H213].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H213.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H210.
% 47.01/47.22 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H214].
% 47.01/47.22 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H215].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H215.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H211.
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 47.01/47.22 congruence.
% 47.01/47.22 apply (zenon_L171_); trivial.
% 47.01/47.22 apply zenon_H212. apply refl_equal.
% 47.01/47.22 apply zenon_H212. apply refl_equal.
% 47.01/47.22 apply zenon_H214. apply sym_equal. exact zenon_H1db.
% 47.01/47.22 apply zenon_H212. apply refl_equal.
% 47.01/47.22 apply zenon_H212. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L172_ *)
% 47.01/47.22 assert (zenon_L173_ : ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H20a zenon_H207 zenon_H1db zenon_H18b zenon_H216.
% 47.01/47.22 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.01/47.22 apply (zenon_L169_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.01/47.22 apply (zenon_L170_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.01/47.22 apply (zenon_L172_); trivial.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21b. zenon_intro zenon_H21a.
% 47.01/47.22 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.01/47.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H216.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H21c.
% 47.01/47.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.01/47.22 cut (((op2 (e22) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21e].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e20)) = ((op2 (e22) (e22)) = (op2 (e20) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H21e.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H21b.
% 47.01/47.22 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21f].
% 47.01/47.22 cut (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H220].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.01/47.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (op2 (e22) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H220.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H21c.
% 47.01/47.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.01/47.22 cut (((op2 (e22) (e22)) = (op2 (op2 (e20) (e23)) (op2 (e20) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H221].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H214].
% 47.01/47.22 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H214].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H214. apply sym_equal. exact zenon_H1db.
% 47.01/47.22 apply zenon_H214. apply sym_equal. exact zenon_H1db.
% 47.01/47.22 apply zenon_H21d. apply refl_equal.
% 47.01/47.22 apply zenon_H21d. apply refl_equal.
% 47.01/47.22 apply zenon_H21f. apply sym_equal. exact zenon_H18b.
% 47.01/47.22 apply zenon_H21d. apply refl_equal.
% 47.01/47.22 apply zenon_H21d. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L173_ *)
% 47.01/47.22 assert (zenon_L174_ : ((op2 (e22) (e23)) = (e21)) -> ((op2 (e22) (e23)) = (e23)) -> (~((e21) = (e23))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H222 zenon_H223 zenon_H1d3.
% 47.01/47.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.01/47.22 cut (((e23) = (e23)) = ((e21) = (e23))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1d3.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H19e.
% 47.01/47.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.01/47.22 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e22) (e23)) = (e21)) = ((e23) = (e21))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1d4.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H222.
% 47.01/47.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.01/47.22 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H224].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H224 zenon_H223).
% 47.01/47.22 apply zenon_H181. apply refl_equal.
% 47.01/47.22 apply zenon_H19f. apply refl_equal.
% 47.01/47.22 apply zenon_H19f. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L174_ *)
% 47.01/47.22 assert (zenon_L175_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> (~((e21) = (e23))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H225 zenon_H1a3 zenon_H14 zenon_H194 zenon_H19d zenon_H1ea zenon_H216 zenon_H18b zenon_H1db zenon_H20a zenon_H1f9 zenon_H1d7 zenon_H1be zenon_H193 zenon_H1ed zenon_H19c zenon_H222 zenon_H1d3.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.01/47.22 apply (zenon_L151_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.01/47.22 apply (zenon_L168_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.01/47.22 apply (zenon_L173_); trivial.
% 47.01/47.22 apply (zenon_L174_); trivial.
% 47.01/47.22 (* end of lemma zenon_L175_ *)
% 47.01/47.22 assert (zenon_L176_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H183 zenon_H228 zenon_H229.
% 47.01/47.22 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e6 ].
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H229.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1e5.
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22a].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e23) (e21)) = (op2 (e21) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H22a.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H183.
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.01/47.22 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22b].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e6 ].
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((e22) = (op2 (e23) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H22b.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1e5.
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 47.01/47.22 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H22c].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H22c zenon_H228).
% 47.01/47.22 apply zenon_H1e6. apply refl_equal.
% 47.01/47.22 apply zenon_H1e6. apply refl_equal.
% 47.01/47.22 apply zenon_H1c0. apply refl_equal.
% 47.01/47.22 apply zenon_H1e6. apply refl_equal.
% 47.01/47.22 apply zenon_H1e6. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L176_ *)
% 47.01/47.22 assert (zenon_L177_ : (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H22d zenon_H1d7 zenon_H22e.
% 47.01/47.22 cut (((op2 (e20) (e21)) = (e23)) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H22d.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1d7.
% 47.01/47.22 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 47.01/47.22 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H189. apply refl_equal.
% 47.01/47.22 apply zenon_H22f. apply sym_equal. exact zenon_H22e.
% 47.01/47.22 (* end of lemma zenon_L177_ *)
% 47.01/47.22 assert (zenon_L178_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((e21) = (e23))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H230 zenon_H1e4 zenon_H1d3 zenon_H222 zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H20a zenon_H1db zenon_H18b zenon_H216 zenon_H1ea zenon_H19d zenon_H194 zenon_H14 zenon_H1a3 zenon_H225 zenon_H229 zenon_H183 zenon_H22d zenon_H1d7.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H231 ].
% 47.01/47.22 apply (zenon_L167_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H232 ].
% 47.01/47.22 apply (zenon_L175_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H22e ].
% 47.01/47.22 apply (zenon_L176_); trivial.
% 47.01/47.22 apply (zenon_L177_); trivial.
% 47.01/47.22 (* end of lemma zenon_L178_ *)
% 47.01/47.22 assert (zenon_L179_ : ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e23)) = (e20)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H14 zenon_H233 zenon_H183 zenon_H234.
% 47.01/47.22 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ].
% 47.01/47.22 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H234.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H235.
% 47.01/47.22 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H236].
% 47.01/47.22 cut (((op2 (e22) (e23)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H237].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e20) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e23)) = (op2 (e22) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H237.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H14.
% 47.01/47.22 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 47.01/47.22 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H238].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ].
% 47.01/47.22 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e20) = (op2 (e22) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H238.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H235.
% 47.01/47.22 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H236].
% 47.01/47.22 cut (((op2 (e22) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H239].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H239 zenon_H233).
% 47.01/47.22 apply zenon_H236. apply refl_equal.
% 47.01/47.22 apply zenon_H236. apply refl_equal.
% 47.01/47.22 apply (zenon_L144_); trivial.
% 47.01/47.22 apply zenon_H236. apply refl_equal.
% 47.01/47.22 apply zenon_H236. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L179_ *)
% 47.01/47.22 assert (zenon_L180_ : (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H23a zenon_H23b zenon_H23c.
% 47.01/47.22 cut (((op2 (e22) (e20)) = (e22)) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H23a.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H23b.
% 47.01/47.22 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 47.01/47.22 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H1a5. apply refl_equal.
% 47.01/47.22 apply zenon_H23d. apply sym_equal. exact zenon_H23c.
% 47.01/47.22 (* end of lemma zenon_L180_ *)
% 47.01/47.22 assert (zenon_L181_ : (~((op2 (e23) (e23)) = (op2 (op2 (e23) (e21)) (op2 (e23) (e21))))) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H23e zenon_H22e.
% 47.01/47.22 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 47.01/47.22 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H22f. apply sym_equal. exact zenon_H22e.
% 47.01/47.22 apply zenon_H22f. apply sym_equal. exact zenon_H22e.
% 47.01/47.22 (* end of lemma zenon_L181_ *)
% 47.01/47.22 assert (zenon_L182_ : (((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (e20))/\(((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (e21))/\(((op2 (op2 (e22) (e21)) (op2 (e22) (e21))) = (e22))/\((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1f8 zenon_H22e zenon_H223 zenon_H23f.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 47.01/47.22 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H23f.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H211.
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H240].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H240.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1fe.
% 47.01/47.22 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 47.01/47.22 cut (((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H242].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (op2 (e23) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H242.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H211.
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.01/47.22 cut (((op2 (e23) (e23)) = (op2 (op2 (e23) (e21)) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H23e].
% 47.01/47.22 congruence.
% 47.01/47.22 apply (zenon_L181_); trivial.
% 47.01/47.22 apply zenon_H212. apply refl_equal.
% 47.01/47.22 apply zenon_H212. apply refl_equal.
% 47.01/47.22 apply zenon_H241. apply sym_equal. exact zenon_H223.
% 47.01/47.22 apply zenon_H212. apply refl_equal.
% 47.01/47.22 apply zenon_H212. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L182_ *)
% 47.01/47.22 assert (zenon_L183_ : (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e20))/\(((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e21))/\(((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e22))/\((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H219 zenon_H229 zenon_H243 zenon_H22e.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21b. zenon_intro zenon_H21a.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H245. zenon_intro zenon_H244.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 47.01/47.22 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23)) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H229.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H246.
% 47.01/47.22 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 47.01/47.22 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H248].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H1c0 ].
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e21) (e21)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H248.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H200.
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.01/47.22 cut (((op2 (e21) (e21)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H249].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24a].
% 47.01/47.22 cut (((e21) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24a].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H24a. apply sym_equal. exact zenon_H243.
% 47.01/47.22 apply zenon_H24a. apply sym_equal. exact zenon_H243.
% 47.01/47.22 apply zenon_H1c0. apply refl_equal.
% 47.01/47.22 apply zenon_H1c0. apply refl_equal.
% 47.01/47.22 apply zenon_H22f. apply sym_equal. exact zenon_H22e.
% 47.01/47.22 (* end of lemma zenon_L183_ *)
% 47.01/47.22 assert (zenon_L184_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H230 zenon_H1e4 zenon_H14 zenon_H216 zenon_H18b zenon_H1d7 zenon_H1be zenon_H183 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H223 zenon_H20a zenon_H1db zenon_H207 zenon_H229 zenon_H243.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H231 ].
% 47.01/47.22 apply (zenon_L167_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H232 ].
% 47.01/47.22 apply (zenon_L173_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H22e ].
% 47.01/47.22 apply (zenon_L176_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.01/47.22 apply (zenon_L169_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.01/47.22 apply (zenon_L182_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.01/47.22 apply (zenon_L172_); trivial.
% 47.01/47.22 apply (zenon_L183_); trivial.
% 47.01/47.22 (* end of lemma zenon_L184_ *)
% 47.01/47.22 assert (zenon_L185_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e21) = (e23))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H24b zenon_H234 zenon_H22d zenon_H225 zenon_H1a3 zenon_H194 zenon_H19d zenon_H1ea zenon_H1d3 zenon_H23b zenon_H23a zenon_H230 zenon_H1e4 zenon_H14 zenon_H216 zenon_H18b zenon_H1d7 zenon_H1be zenon_H183 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H20a zenon_H1db zenon_H207 zenon_H229 zenon_H243.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H233 | zenon_intro zenon_H24c ].
% 47.01/47.22 apply (zenon_L179_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H222 | zenon_intro zenon_H24d ].
% 47.01/47.22 apply (zenon_L178_); trivial.
% 47.01/47.22 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23c | zenon_intro zenon_H223 ].
% 47.01/47.22 apply (zenon_L180_); trivial.
% 47.01/47.22 apply (zenon_L184_); trivial.
% 47.01/47.22 (* end of lemma zenon_L185_ *)
% 47.01/47.22 assert (zenon_L186_ : ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((e20) = (e23))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H18b zenon_H24e zenon_H19d.
% 47.01/47.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.01/47.22 cut (((e23) = (e23)) = ((e20) = (e23))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H19d.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H19e.
% 47.01/47.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.01/47.22 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e20) (e22)) = (e20)) = ((e23) = (e20))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1a0.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H18b.
% 47.01/47.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.01/47.22 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24f].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H24f zenon_H24e).
% 47.01/47.22 apply zenon_H19a. apply refl_equal.
% 47.01/47.22 apply zenon_H19f. apply refl_equal.
% 47.01/47.22 apply zenon_H19f. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L186_ *)
% 47.01/47.22 assert (zenon_L187_ : ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e21) (e22)) = (e23)) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H194 zenon_H250 zenon_H14 zenon_H251.
% 47.01/47.22 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H252 | zenon_intro zenon_H253 ].
% 47.01/47.22 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H251.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H252.
% 47.01/47.22 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H253].
% 47.01/47.22 cut (((op2 (e21) (e22)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H254].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e21) (e22)) = (op2 (e21) (e20)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H254.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H194.
% 47.01/47.22 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 47.01/47.22 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H255].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H252 | zenon_intro zenon_H253 ].
% 47.01/47.22 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e23) = (op2 (e21) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H255.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H252.
% 47.01/47.22 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H253].
% 47.01/47.22 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H256].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H256 zenon_H250).
% 47.01/47.22 apply zenon_H253. apply refl_equal.
% 47.01/47.22 apply zenon_H253. apply refl_equal.
% 47.01/47.22 apply (zenon_L147_); trivial.
% 47.01/47.22 apply zenon_H253. apply refl_equal.
% 47.01/47.22 apply zenon_H253. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L187_ *)
% 47.01/47.22 assert (zenon_L188_ : ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e22)) -> (~((e20) = (e22))) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H1ed zenon_H257 zenon_H1c4.
% 47.01/47.22 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.01/47.22 cut (((e22) = (e22)) = ((e20) = (e22))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1c4.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ba.
% 47.01/47.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.01/47.22 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((op2 (e23) (e20)) = (e20)) = ((e22) = (e20))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H1c5.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ed.
% 47.01/47.22 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.01/47.22 cut (((op2 (e23) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H258].
% 47.01/47.22 congruence.
% 47.01/47.22 exact (zenon_H258 zenon_H257).
% 47.01/47.22 apply zenon_H19a. apply refl_equal.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 apply zenon_H1bb. apply refl_equal.
% 47.01/47.22 (* end of lemma zenon_L188_ *)
% 47.01/47.22 assert (zenon_L189_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H259 zenon_H1c3 zenon_H25a.
% 47.01/47.22 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H259.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1c3.
% 47.01/47.22 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H25b].
% 47.01/47.22 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H18f. apply refl_equal.
% 47.01/47.22 apply zenon_H25b. apply sym_equal. exact zenon_H25a.
% 47.01/47.22 (* end of lemma zenon_L189_ *)
% 47.01/47.22 assert (zenon_L190_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H25c zenon_H1da zenon_H222.
% 47.01/47.22 cut (((op2 (e20) (e23)) = (e21)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H25c.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1da.
% 47.01/47.22 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25d].
% 47.01/47.22 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25e].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H25e. apply refl_equal.
% 47.01/47.22 apply zenon_H25d. apply sym_equal. exact zenon_H222.
% 47.01/47.22 (* end of lemma zenon_L190_ *)
% 47.01/47.22 assert (zenon_L191_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e22)) = (e20)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H25f zenon_H1ed zenon_H260.
% 47.01/47.22 cut (((op2 (e23) (e20)) = (e20)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H25f.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1ed.
% 47.01/47.22 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H261].
% 47.01/47.22 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H1ac. apply refl_equal.
% 47.01/47.22 apply zenon_H261. apply sym_equal. exact zenon_H260.
% 47.01/47.22 (* end of lemma zenon_L191_ *)
% 47.01/47.22 assert (zenon_L192_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H262 zenon_H1f9 zenon_H263.
% 47.01/47.22 cut (((op2 (e23) (e21)) = (e21)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H262.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H1f9.
% 47.01/47.22 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H264].
% 47.01/47.22 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e6].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H1e6. apply refl_equal.
% 47.01/47.22 apply zenon_H264. apply sym_equal. exact zenon_H263.
% 47.01/47.22 (* end of lemma zenon_L192_ *)
% 47.01/47.22 assert (zenon_L193_ : (((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e20))/\(((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e21))/\(((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22))/\((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H209 zenon_H265 zenon_H25a zenon_H223.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f.
% 47.01/47.22 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e23)) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H265.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H20f.
% 47.01/47.22 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 47.01/47.22 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H266].
% 47.01/47.22 congruence.
% 47.01/47.22 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.01/47.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e22) (e22)))).
% 47.01/47.22 intro zenon_D_pnotp.
% 47.01/47.22 apply zenon_H266.
% 47.01/47.22 rewrite <- zenon_D_pnotp.
% 47.01/47.22 exact zenon_H21c.
% 47.01/47.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.01/47.22 cut (((op2 (e22) (e22)) = (op2 (op2 (e23) (e22)) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H267].
% 47.01/47.22 congruence.
% 47.01/47.22 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H25b].
% 47.01/47.22 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H25b].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H25b. apply sym_equal. exact zenon_H25a.
% 47.01/47.22 apply zenon_H25b. apply sym_equal. exact zenon_H25a.
% 47.01/47.22 apply zenon_H21d. apply refl_equal.
% 47.01/47.22 apply zenon_H21d. apply refl_equal.
% 47.01/47.22 apply zenon_H241. apply sym_equal. exact zenon_H223.
% 47.01/47.22 (* end of lemma zenon_L193_ *)
% 47.01/47.22 assert (zenon_L194_ : (~((op2 (e22) (e22)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H268 zenon_H269.
% 47.01/47.22 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H26a].
% 47.01/47.22 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H26a].
% 47.01/47.22 congruence.
% 47.01/47.22 apply zenon_H26a. apply sym_equal. exact zenon_H269.
% 47.01/47.22 apply zenon_H26a. apply sym_equal. exact zenon_H269.
% 47.01/47.22 (* end of lemma zenon_L194_ *)
% 47.01/47.22 assert (zenon_L195_ : (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e20))/\(((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e21))/\(((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e22))/\((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 47.01/47.22 do 0 intro. intros zenon_H219 zenon_H265 zenon_H269 zenon_H223.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21b. zenon_intro zenon_H21a.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H245. zenon_intro zenon_H244.
% 47.01/47.22 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 47.01/47.22 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23)) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H265.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H246.
% 47.05/47.22 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 47.05/47.22 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26b].
% 47.05/47.22 congruence.
% 47.05/47.22 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.05/47.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e22) (e22)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H26b.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H21c.
% 47.05/47.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.05/47.22 cut (((op2 (e22) (e22)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H268].
% 47.05/47.22 congruence.
% 47.05/47.22 apply (zenon_L194_); trivial.
% 47.05/47.22 apply zenon_H21d. apply refl_equal.
% 47.05/47.22 apply zenon_H21d. apply refl_equal.
% 47.05/47.22 apply zenon_H241. apply sym_equal. exact zenon_H223.
% 47.05/47.22 (* end of lemma zenon_L195_ *)
% 47.05/47.22 assert (zenon_L196_ : ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H25a zenon_H265 zenon_H269 zenon_H223.
% 47.05/47.22 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.05/47.22 apply (zenon_L169_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.05/47.22 apply (zenon_L170_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.05/47.22 apply (zenon_L193_); trivial.
% 47.05/47.22 apply (zenon_L195_); trivial.
% 47.05/47.22 (* end of lemma zenon_L196_ *)
% 47.05/47.22 assert (zenon_L197_ : (((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e20))/\(((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e21))/\(((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22))/\((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e23))))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H209 zenon_H26c zenon_H223 zenon_H23f.
% 47.05/47.22 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b.
% 47.05/47.22 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d.
% 47.05/47.22 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f.
% 47.05/47.22 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.05/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H23f.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H211.
% 47.05/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.05/47.22 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H240].
% 47.05/47.22 congruence.
% 47.05/47.22 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H240.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H20f.
% 47.05/47.22 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 47.05/47.22 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H26d].
% 47.05/47.22 congruence.
% 47.05/47.22 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.05/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e23) (e23)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H26d.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H211.
% 47.05/47.22 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.05/47.22 cut (((op2 (e23) (e23)) = (op2 (op2 (e23) (e22)) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H26e].
% 47.05/47.22 congruence.
% 47.05/47.22 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26f].
% 47.05/47.22 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26f].
% 47.05/47.22 congruence.
% 47.05/47.22 apply zenon_H26f. apply sym_equal. exact zenon_H26c.
% 47.05/47.22 apply zenon_H26f. apply sym_equal. exact zenon_H26c.
% 47.05/47.22 apply zenon_H212. apply refl_equal.
% 47.05/47.22 apply zenon_H212. apply refl_equal.
% 47.05/47.22 apply zenon_H241. apply sym_equal. exact zenon_H223.
% 47.05/47.22 apply zenon_H212. apply refl_equal.
% 47.05/47.22 apply zenon_H212. apply refl_equal.
% 47.05/47.22 (* end of lemma zenon_L197_ *)
% 47.05/47.22 assert (zenon_L198_ : (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e20))/\(((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e21))/\(((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e22))/\((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H219 zenon_H270 zenon_H269 zenon_H26c.
% 47.05/47.22 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21b. zenon_intro zenon_H21a.
% 47.05/47.22 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H245. zenon_intro zenon_H244.
% 47.05/47.22 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 47.05/47.22 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H270.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H246.
% 47.05/47.22 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26f].
% 47.05/47.22 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26b].
% 47.05/47.22 congruence.
% 47.05/47.22 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.05/47.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e22) (e22)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H26b.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H21c.
% 47.05/47.22 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.05/47.22 cut (((op2 (e22) (e22)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H268].
% 47.05/47.22 congruence.
% 47.05/47.22 apply (zenon_L194_); trivial.
% 47.05/47.22 apply zenon_H21d. apply refl_equal.
% 47.05/47.22 apply zenon_H21d. apply refl_equal.
% 47.05/47.22 apply zenon_H26f. apply sym_equal. exact zenon_H26c.
% 47.05/47.22 (* end of lemma zenon_L198_ *)
% 47.05/47.22 assert (zenon_L199_ : ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H223 zenon_H270 zenon_H269 zenon_H26c.
% 47.05/47.22 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.05/47.22 apply (zenon_L169_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.05/47.22 apply (zenon_L170_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.05/47.22 apply (zenon_L197_); trivial.
% 47.05/47.22 apply (zenon_L198_); trivial.
% 47.05/47.22 (* end of lemma zenon_L199_ *)
% 47.05/47.22 assert (zenon_L200_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H271 zenon_H25f zenon_H262 zenon_H265 zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H223 zenon_H270 zenon_H269.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 47.05/47.22 apply (zenon_L191_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H263 | zenon_intro zenon_H273 ].
% 47.05/47.22 apply (zenon_L192_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H25a | zenon_intro zenon_H26c ].
% 47.05/47.22 apply (zenon_L196_); trivial.
% 47.05/47.22 apply (zenon_L199_); trivial.
% 47.05/47.22 (* end of lemma zenon_L200_ *)
% 47.05/47.22 assert (zenon_L201_ : (((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e20))/\(((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e21))/\(((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22))/\((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H209 zenon_H229 zenon_H263 zenon_H22e.
% 47.05/47.22 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b.
% 47.05/47.22 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d.
% 47.05/47.22 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f.
% 47.05/47.22 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e23)) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H229.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H20f.
% 47.05/47.22 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 47.05/47.22 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H274].
% 47.05/47.22 congruence.
% 47.05/47.22 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H1c0 ].
% 47.05/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e21) (e21)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H274.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H200.
% 47.05/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.05/47.22 cut (((op2 (e21) (e21)) = (op2 (op2 (e23) (e22)) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H275].
% 47.05/47.22 congruence.
% 47.05/47.22 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H264].
% 47.05/47.22 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H264].
% 47.05/47.22 congruence.
% 47.05/47.22 apply zenon_H264. apply sym_equal. exact zenon_H263.
% 47.05/47.22 apply zenon_H264. apply sym_equal. exact zenon_H263.
% 47.05/47.22 apply zenon_H1c0. apply refl_equal.
% 47.05/47.22 apply zenon_H1c0. apply refl_equal.
% 47.05/47.22 apply zenon_H22f. apply sym_equal. exact zenon_H22e.
% 47.05/47.22 (* end of lemma zenon_L201_ *)
% 47.05/47.22 assert (zenon_L202_ : ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H22e zenon_H263 zenon_H229 zenon_H265 zenon_H269 zenon_H223.
% 47.05/47.22 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.05/47.22 apply (zenon_L169_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.05/47.22 apply (zenon_L182_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.05/47.22 apply (zenon_L201_); trivial.
% 47.05/47.22 apply (zenon_L195_); trivial.
% 47.05/47.22 (* end of lemma zenon_L202_ *)
% 47.05/47.22 assert (zenon_L203_ : ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H19c zenon_H1ed zenon_H193 zenon_H22e zenon_H23f zenon_H223 zenon_H270 zenon_H269 zenon_H26c.
% 47.05/47.22 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.05/47.22 apply (zenon_L169_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.05/47.22 apply (zenon_L182_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.05/47.22 apply (zenon_L197_); trivial.
% 47.05/47.22 apply (zenon_L198_); trivial.
% 47.05/47.22 (* end of lemma zenon_L203_ *)
% 47.05/47.22 assert (zenon_L204_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H271 zenon_H25f zenon_H265 zenon_H229 zenon_H1c3 zenon_H259 zenon_H19c zenon_H1ed zenon_H193 zenon_H22e zenon_H23f zenon_H223 zenon_H270 zenon_H269.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 47.05/47.22 apply (zenon_L191_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H263 | zenon_intro zenon_H273 ].
% 47.05/47.22 apply (zenon_L202_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H25a | zenon_intro zenon_H26c ].
% 47.05/47.22 apply (zenon_L189_); trivial.
% 47.05/47.22 apply (zenon_L203_); trivial.
% 47.05/47.22 (* end of lemma zenon_L204_ *)
% 47.05/47.22 assert (zenon_L205_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H230 zenon_H1e4 zenon_H14 zenon_H1d7 zenon_H1be zenon_H262 zenon_H183 zenon_H271 zenon_H25f zenon_H265 zenon_H229 zenon_H1c3 zenon_H259 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H223 zenon_H270 zenon_H269.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H231 ].
% 47.05/47.22 apply (zenon_L167_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H232 ].
% 47.05/47.22 apply (zenon_L200_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H22e ].
% 47.05/47.22 apply (zenon_L176_); trivial.
% 47.05/47.22 apply (zenon_L204_); trivial.
% 47.05/47.22 (* end of lemma zenon_L205_ *)
% 47.05/47.22 assert (zenon_L206_ : ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e22)) = (e23)) -> (~((e22) = (e23))) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H1c3 zenon_H24e zenon_H276.
% 47.05/47.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.05/47.22 cut (((e23) = (e23)) = ((e22) = (e23))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H276.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H19e.
% 47.05/47.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.05/47.22 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H277].
% 47.05/47.22 congruence.
% 47.05/47.22 cut (((op2 (e20) (e22)) = (e22)) = ((e23) = (e22))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H277.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H1c3.
% 47.05/47.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.05/47.22 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24f].
% 47.05/47.22 congruence.
% 47.05/47.22 exact (zenon_H24f zenon_H24e).
% 47.05/47.22 apply zenon_H1bb. apply refl_equal.
% 47.05/47.22 apply zenon_H19f. apply refl_equal.
% 47.05/47.22 apply zenon_H19f. apply refl_equal.
% 47.05/47.22 (* end of lemma zenon_L206_ *)
% 47.05/47.22 assert (zenon_L207_ : ((op2 (e20) (e23)) = (e21)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e21) = (e23))) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H1da zenon_H278 zenon_H1d3.
% 47.05/47.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.05/47.22 cut (((e23) = (e23)) = ((e21) = (e23))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H1d3.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H19e.
% 47.05/47.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.05/47.22 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 47.05/47.22 congruence.
% 47.05/47.22 cut (((op2 (e20) (e23)) = (e21)) = ((e23) = (e21))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H1d4.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H1da.
% 47.05/47.22 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.05/47.22 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 47.05/47.22 congruence.
% 47.05/47.22 exact (zenon_H279 zenon_H278).
% 47.05/47.22 apply zenon_H181. apply refl_equal.
% 47.05/47.22 apply zenon_H19f. apply refl_equal.
% 47.05/47.22 apply zenon_H19f. apply refl_equal.
% 47.05/47.22 (* end of lemma zenon_L207_ *)
% 47.05/47.22 assert (zenon_L208_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e23) (e20)) = (e20)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e22) = (e23))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e20)) = (e21)) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H27a zenon_H1c4 zenon_H1ed zenon_H27b zenon_H1aa zenon_H14 zenon_H194 zenon_H1a3 zenon_H27c zenon_H24b zenon_H234 zenon_H25c zenon_H23a zenon_H230 zenon_H1e4 zenon_H1be zenon_H262 zenon_H183 zenon_H271 zenon_H25f zenon_H265 zenon_H229 zenon_H259 zenon_H193 zenon_H23f zenon_H270 zenon_H1b0 zenon_H276 zenon_H1d3 zenon_H1c7 zenon_H1b7 zenon_H27d zenon_H1da zenon_H1b9.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.05/47.22 apply (zenon_L155_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.05/47.22 apply (zenon_L156_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H280 ].
% 47.05/47.22 apply (zenon_L155_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H281 ].
% 47.05/47.22 apply (zenon_L158_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H23b | zenon_intro zenon_H257 ].
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.05/47.22 apply (zenon_L148_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.05/47.22 apply (zenon_L148_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H257 | zenon_intro zenon_H284 ].
% 47.05/47.22 apply (zenon_L188_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H228 | zenon_intro zenon_H285 ].
% 47.05/47.22 apply (zenon_L176_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25a | zenon_intro zenon_H269 ].
% 47.05/47.22 apply (zenon_L189_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H233 | zenon_intro zenon_H24c ].
% 47.05/47.22 apply (zenon_L179_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H222 | zenon_intro zenon_H24d ].
% 47.05/47.22 apply (zenon_L190_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23c | zenon_intro zenon_H223 ].
% 47.05/47.22 apply (zenon_L180_); trivial.
% 47.05/47.22 apply (zenon_L205_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.05/47.22 apply (zenon_L151_); trivial.
% 47.05/47.22 apply (zenon_L152_); trivial.
% 47.05/47.22 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.05/47.22 apply (zenon_L206_); trivial.
% 47.05/47.22 apply (zenon_L207_); trivial.
% 47.05/47.22 apply (zenon_L188_); trivial.
% 47.05/47.22 apply (zenon_L165_); trivial.
% 47.05/47.22 (* end of lemma zenon_L208_ *)
% 47.05/47.22 assert (zenon_L209_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H183 zenon_H286 zenon_H287.
% 47.05/47.22 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H288 | zenon_intro zenon_H289 ].
% 47.05/47.22 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (e21)) = (op2 (e21) (e23)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H287.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H288.
% 47.05/47.22 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 47.05/47.22 cut (((op2 (e21) (e23)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H28a].
% 47.05/47.22 congruence.
% 47.05/47.22 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e21) (e23)) = (op2 (e21) (e21)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H28a.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H183.
% 47.05/47.22 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.05/47.22 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H28b].
% 47.05/47.22 congruence.
% 47.05/47.22 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H288 | zenon_intro zenon_H289 ].
% 47.05/47.22 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e22) = (op2 (e21) (e23)))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H28b.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H288.
% 47.05/47.22 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 47.05/47.22 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H28c].
% 47.05/47.22 congruence.
% 47.05/47.22 exact (zenon_H28c zenon_H286).
% 47.05/47.22 apply zenon_H289. apply refl_equal.
% 47.05/47.22 apply zenon_H289. apply refl_equal.
% 47.05/47.22 apply zenon_H1c0. apply refl_equal.
% 47.05/47.22 apply zenon_H289. apply refl_equal.
% 47.05/47.22 apply zenon_H289. apply refl_equal.
% 47.05/47.22 (* end of lemma zenon_L209_ *)
% 47.05/47.22 assert (zenon_L210_ : ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> (~((e22) = (e23))) -> False).
% 47.05/47.22 do 0 intro. intros zenon_H23c zenon_H223 zenon_H276.
% 47.05/47.22 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.05/47.22 cut (((e23) = (e23)) = ((e22) = (e23))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H276.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H19e.
% 47.05/47.22 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.05/47.22 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H277].
% 47.05/47.22 congruence.
% 47.05/47.22 cut (((op2 (e22) (e23)) = (e22)) = ((e23) = (e22))).
% 47.05/47.22 intro zenon_D_pnotp.
% 47.05/47.22 apply zenon_H277.
% 47.05/47.22 rewrite <- zenon_D_pnotp.
% 47.05/47.22 exact zenon_H23c.
% 47.05/47.22 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.05/47.22 cut (((op2 (e22) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H224].
% 47.05/47.22 congruence.
% 47.05/47.22 exact (zenon_H224 zenon_H223).
% 47.05/47.22 apply zenon_H1bb. apply refl_equal.
% 47.05/47.23 apply zenon_H19f. apply refl_equal.
% 47.05/47.23 apply zenon_H19f. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L210_ *)
% 47.05/47.23 assert (zenon_L211_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H230 zenon_H1e4 zenon_H14 zenon_H1d7 zenon_H1be zenon_H229 zenon_H183 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H223 zenon_H270 zenon_H269 zenon_H26c.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H231 ].
% 47.05/47.23 apply (zenon_L167_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H232 ].
% 47.05/47.23 apply (zenon_L199_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H22e ].
% 47.05/47.23 apply (zenon_L176_); trivial.
% 47.05/47.23 apply (zenon_L203_); trivial.
% 47.05/47.23 (* end of lemma zenon_L211_ *)
% 47.05/47.23 assert (zenon_L212_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e23)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H28d zenon_H1b9 zenon_H1da zenon_H287 zenon_H276 zenon_H230 zenon_H1e4 zenon_H14 zenon_H1d7 zenon_H1be zenon_H229 zenon_H183 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H223 zenon_H270 zenon_H26c.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1db | zenon_intro zenon_H28e ].
% 47.05/47.23 apply (zenon_L165_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 47.05/47.23 apply (zenon_L209_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23c | zenon_intro zenon_H269 ].
% 47.05/47.23 apply (zenon_L210_); trivial.
% 47.05/47.23 apply (zenon_L211_); trivial.
% 47.05/47.23 (* end of lemma zenon_L212_ *)
% 47.05/47.23 assert (zenon_L213_ : ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e22)) = (e20)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H14 zenon_H290 zenon_H183 zenon_H291.
% 47.05/47.23 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.05/47.23 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H291.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H21c.
% 47.05/47.23 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.05/47.23 cut (((op2 (e22) (e22)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H292].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((e20) = (op2 (op2 (e21) (e21)) (e21))) = ((op2 (e22) (e22)) = (op2 (e22) (e21)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H292.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H14.
% 47.05/47.23 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 47.05/47.23 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H293].
% 47.05/47.23 congruence.
% 47.05/47.23 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.05/47.23 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e20) = (op2 (e22) (e22)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H293.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H21c.
% 47.05/47.23 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.05/47.23 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H294].
% 47.05/47.23 congruence.
% 47.05/47.23 exact (zenon_H294 zenon_H290).
% 47.05/47.23 apply zenon_H21d. apply refl_equal.
% 47.05/47.23 apply zenon_H21d. apply refl_equal.
% 47.05/47.23 apply (zenon_L144_); trivial.
% 47.05/47.23 apply zenon_H21d. apply refl_equal.
% 47.05/47.23 apply zenon_H21d. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L213_ *)
% 47.05/47.23 assert (zenon_L214_ : (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H295 zenon_H296 zenon_H297.
% 47.05/47.23 cut (((op2 (e21) (e22)) = (e21)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H295.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H296.
% 47.05/47.23 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H298].
% 47.05/47.23 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H253].
% 47.05/47.23 congruence.
% 47.05/47.23 apply zenon_H253. apply refl_equal.
% 47.05/47.23 apply zenon_H298. apply sym_equal. exact zenon_H297.
% 47.05/47.23 (* end of lemma zenon_L214_ *)
% 47.05/47.23 assert (zenon_L215_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H299 zenon_H23b zenon_H29a.
% 47.05/47.23 cut (((op2 (e22) (e20)) = (e22)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H299.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H23b.
% 47.05/47.23 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H29b].
% 47.05/47.23 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 47.05/47.23 congruence.
% 47.05/47.23 apply zenon_H1a5. apply refl_equal.
% 47.05/47.23 apply zenon_H29b. apply sym_equal. exact zenon_H29a.
% 47.05/47.23 (* end of lemma zenon_L215_ *)
% 47.05/47.23 assert (zenon_L216_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H29c zenon_H291 zenon_H296 zenon_H295 zenon_H23b zenon_H299 zenon_H230 zenon_H1e4 zenon_H14 zenon_H216 zenon_H18b zenon_H1db zenon_H20a zenon_H1d7 zenon_H1be zenon_H183 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H223 zenon_H26c zenon_H229 zenon_H243.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H290 | zenon_intro zenon_H29d ].
% 47.05/47.23 apply (zenon_L213_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H297 | zenon_intro zenon_H29e ].
% 47.05/47.23 apply (zenon_L214_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H29a | zenon_intro zenon_H207 ].
% 47.05/47.23 apply (zenon_L215_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H231 ].
% 47.05/47.23 apply (zenon_L167_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H232 ].
% 47.05/47.23 apply (zenon_L173_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H22e ].
% 47.05/47.23 apply (zenon_L176_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.05/47.23 apply (zenon_L169_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.05/47.23 apply (zenon_L182_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.05/47.23 apply (zenon_L197_); trivial.
% 47.05/47.23 apply (zenon_L183_); trivial.
% 47.05/47.23 (* end of lemma zenon_L216_ *)
% 47.05/47.23 assert (zenon_L217_ : ((op2 (e20) (e23)) = (e22)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e22) = (e23))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H1db zenon_H278 zenon_H276.
% 47.05/47.23 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.05/47.23 cut (((e23) = (e23)) = ((e22) = (e23))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H276.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H19e.
% 47.05/47.23 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.05/47.23 cut (((e23) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H277].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((op2 (e20) (e23)) = (e22)) = ((e23) = (e22))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H277.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H1db.
% 47.05/47.23 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.05/47.23 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 47.05/47.23 congruence.
% 47.05/47.23 exact (zenon_H279 zenon_H278).
% 47.05/47.23 apply zenon_H1bb. apply refl_equal.
% 47.05/47.23 apply zenon_H19f. apply refl_equal.
% 47.05/47.23 apply zenon_H19f. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L217_ *)
% 47.05/47.23 assert (zenon_L218_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H29f zenon_H1b7 zenon_H2a0.
% 47.05/47.23 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H188 | zenon_intro zenon_H189 ].
% 47.05/47.23 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2a0.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H188.
% 47.05/47.23 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 47.05/47.23 cut (((op2 (e20) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2a1].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (e20) (e21)) = (op2 (e20) (e20)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2a1.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H29f.
% 47.05/47.23 cut (((e21) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2a2].
% 47.05/47.23 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 47.05/47.23 congruence.
% 47.05/47.23 apply zenon_H189. apply refl_equal.
% 47.05/47.23 apply zenon_H2a2. apply sym_equal. exact zenon_H1b7.
% 47.05/47.23 apply zenon_H189. apply refl_equal.
% 47.05/47.23 apply zenon_H189. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L218_ *)
% 47.05/47.23 assert (zenon_L219_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H1b0 zenon_H193 zenon_H1d3 zenon_H1d2 zenon_H1a3 zenon_H194 zenon_H14 zenon_H1aa.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.05/47.23 apply (zenon_L148_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.05/47.23 apply (zenon_L162_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.05/47.23 apply (zenon_L151_); trivial.
% 47.05/47.23 apply (zenon_L152_); trivial.
% 47.05/47.23 (* end of lemma zenon_L219_ *)
% 47.05/47.23 assert (zenon_L220_ : ((op2 (e20) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((e21) = (e23))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H29f zenon_H1d7 zenon_H1d3.
% 47.05/47.23 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.05/47.23 cut (((e23) = (e23)) = ((e21) = (e23))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H1d3.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H19e.
% 47.05/47.23 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.05/47.23 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((op2 (e20) (e21)) = (e21)) = ((e23) = (e21))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H1d4.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H29f.
% 47.05/47.23 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.05/47.23 cut (((op2 (e20) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2a3].
% 47.05/47.23 congruence.
% 47.05/47.23 exact (zenon_H2a3 zenon_H1d7).
% 47.05/47.23 apply zenon_H181. apply refl_equal.
% 47.05/47.23 apply zenon_H19f. apply refl_equal.
% 47.05/47.23 apply zenon_H19f. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L220_ *)
% 47.05/47.23 assert (zenon_L221_ : ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e21) (e21)) = (e23)) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H194 zenon_H2a4 zenon_H14 zenon_H1c7.
% 47.05/47.23 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H1c0 ].
% 47.05/47.23 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H1c7.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H200.
% 47.05/47.23 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.05/47.23 cut (((op2 (e21) (e21)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2a5].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e21) (e21)) = (op2 (e21) (e20)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2a5.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H194.
% 47.05/47.23 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 47.05/47.23 cut (((e23) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2a6].
% 47.05/47.23 congruence.
% 47.05/47.23 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H1c0 ].
% 47.05/47.23 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e23) = (op2 (e21) (e21)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2a6.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H200.
% 47.05/47.23 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.05/47.23 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2a7].
% 47.05/47.23 congruence.
% 47.05/47.23 exact (zenon_H2a7 zenon_H2a4).
% 47.05/47.23 apply zenon_H1c0. apply refl_equal.
% 47.05/47.23 apply zenon_H1c0. apply refl_equal.
% 47.05/47.23 apply (zenon_L147_); trivial.
% 47.05/47.23 apply zenon_H1c0. apply refl_equal.
% 47.05/47.23 apply zenon_H1c0. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L221_ *)
% 47.05/47.23 assert (zenon_L222_ : ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e20)) = (e22)) -> (~((e21) = (e22))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H2a8 zenon_H23b zenon_H1b9.
% 47.05/47.23 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.05/47.23 cut (((e22) = (e22)) = ((e21) = (e22))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H1b9.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H1ba.
% 47.05/47.23 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.05/47.23 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((op2 (e22) (e20)) = (e21)) = ((e22) = (e21))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H1bc.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H2a8.
% 47.05/47.23 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.05/47.23 cut (((op2 (e22) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2a9].
% 47.05/47.23 congruence.
% 47.05/47.23 exact (zenon_H2a9 zenon_H23b).
% 47.05/47.23 apply zenon_H181. apply refl_equal.
% 47.05/47.23 apply zenon_H1bb. apply refl_equal.
% 47.05/47.23 apply zenon_H1bb. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L222_ *)
% 47.05/47.23 assert (zenon_L223_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H183 zenon_H2aa zenon_H2ab.
% 47.05/47.23 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ad ].
% 47.05/47.23 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2ab.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H2ac.
% 47.05/47.23 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ad].
% 47.05/47.23 cut (((op2 (e22) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ae].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e22) (e21)) = (op2 (e21) (e21)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2ae.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H183.
% 47.05/47.23 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.05/47.23 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2af].
% 47.05/47.23 congruence.
% 47.05/47.23 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H2ac | zenon_intro zenon_H2ad ].
% 47.05/47.23 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e22) = (op2 (e22) (e21)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2af.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H2ac.
% 47.05/47.23 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2ad].
% 47.05/47.23 cut (((op2 (e22) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2b0].
% 47.05/47.23 congruence.
% 47.05/47.23 exact (zenon_H2b0 zenon_H2aa).
% 47.05/47.23 apply zenon_H2ad. apply refl_equal.
% 47.05/47.23 apply zenon_H2ad. apply refl_equal.
% 47.05/47.23 apply zenon_H1c0. apply refl_equal.
% 47.05/47.23 apply zenon_H2ad. apply refl_equal.
% 47.05/47.23 apply zenon_H2ad. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L223_ *)
% 47.05/47.23 assert (zenon_L224_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e21)) = (e21)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H1b3 zenon_H2a8 zenon_H2b1.
% 47.05/47.23 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H1b3.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H2a8.
% 47.05/47.23 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2b2].
% 47.05/47.23 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 47.05/47.23 congruence.
% 47.05/47.23 apply zenon_H1a5. apply refl_equal.
% 47.05/47.23 apply zenon_H2b2. apply sym_equal. exact zenon_H2b1.
% 47.05/47.23 (* end of lemma zenon_L224_ *)
% 47.05/47.23 assert (zenon_L225_ : (((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e20))/\(((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e21))/\(((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22))/\((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e23))))) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H209 zenon_H207 zenon_H23c zenon_H23f.
% 47.05/47.23 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b.
% 47.05/47.23 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d.
% 47.05/47.23 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f.
% 47.05/47.23 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H23f.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H211.
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H240].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22)) = ((op2 (e23) (e23)) = (op2 (e22) (e23)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H240.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H210.
% 47.05/47.23 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 47.05/47.23 cut (((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H215].
% 47.05/47.23 congruence.
% 47.05/47.23 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (op2 (e23) (e23)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H215.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H211.
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (op2 (e22) (e22)) (op2 (e22) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 47.05/47.23 congruence.
% 47.05/47.23 apply (zenon_L171_); trivial.
% 47.05/47.23 apply zenon_H212. apply refl_equal.
% 47.05/47.23 apply zenon_H212. apply refl_equal.
% 47.05/47.23 apply zenon_H23d. apply sym_equal. exact zenon_H23c.
% 47.05/47.23 apply zenon_H212. apply refl_equal.
% 47.05/47.23 apply zenon_H212. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L225_ *)
% 47.05/47.23 assert (zenon_L226_ : (~((op2 (e22) (e22)) = (op2 (op2 (e22) (e23)) (op2 (e22) (e23))))) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H2b3 zenon_H23c.
% 47.05/47.23 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 47.05/47.23 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 47.05/47.23 congruence.
% 47.05/47.23 apply zenon_H23d. apply sym_equal. exact zenon_H23c.
% 47.05/47.23 apply zenon_H23d. apply sym_equal. exact zenon_H23c.
% 47.05/47.23 (* end of lemma zenon_L226_ *)
% 47.05/47.23 assert (zenon_L227_ : (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e20))/\(((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e21))/\(((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e22))/\((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H219 zenon_H270 zenon_H23c zenon_H25a.
% 47.05/47.23 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21b. zenon_intro zenon_H21a.
% 47.05/47.23 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H245. zenon_intro zenon_H244.
% 47.05/47.23 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 47.05/47.23 cut (((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H270.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H247.
% 47.05/47.23 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H25b].
% 47.05/47.23 cut (((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2b4].
% 47.05/47.23 congruence.
% 47.05/47.23 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.05/47.23 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (op2 (e22) (e22)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2b4.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H21c.
% 47.05/47.23 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.05/47.23 cut (((op2 (e22) (e22)) = (op2 (op2 (e22) (e23)) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2b3].
% 47.05/47.23 congruence.
% 47.05/47.23 apply (zenon_L226_); trivial.
% 47.05/47.23 apply zenon_H21d. apply refl_equal.
% 47.05/47.23 apply zenon_H21d. apply refl_equal.
% 47.05/47.23 apply zenon_H25b. apply sym_equal. exact zenon_H25a.
% 47.05/47.23 (* end of lemma zenon_L227_ *)
% 47.05/47.23 assert (zenon_L228_ : ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H207 zenon_H270 zenon_H23c zenon_H25a.
% 47.05/47.23 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.05/47.23 apply (zenon_L169_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.05/47.23 apply (zenon_L170_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.05/47.23 apply (zenon_L225_); trivial.
% 47.05/47.23 apply (zenon_L227_); trivial.
% 47.05/47.23 (* end of lemma zenon_L228_ *)
% 47.05/47.23 assert (zenon_L229_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e22) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H225 zenon_H1a3 zenon_H14 zenon_H194 zenon_H19d zenon_H1ea zenon_H25a zenon_H270 zenon_H23f zenon_H1f9 zenon_H1d7 zenon_H1be zenon_H193 zenon_H1ed zenon_H19c zenon_H23c zenon_H276.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.05/47.23 apply (zenon_L151_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.05/47.23 apply (zenon_L168_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.05/47.23 apply (zenon_L228_); trivial.
% 47.05/47.23 apply (zenon_L210_); trivial.
% 47.05/47.23 (* end of lemma zenon_L229_ *)
% 47.05/47.23 assert (zenon_L230_ : ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H23c zenon_H207 zenon_H270 zenon_H269 zenon_H26c.
% 47.05/47.23 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.05/47.23 apply (zenon_L169_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.05/47.23 apply (zenon_L170_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.05/47.23 apply (zenon_L225_); trivial.
% 47.05/47.23 apply (zenon_L198_); trivial.
% 47.05/47.23 (* end of lemma zenon_L230_ *)
% 47.05/47.23 assert (zenon_L231_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H271 zenon_H25f zenon_H262 zenon_H276 zenon_H1ea zenon_H19d zenon_H194 zenon_H14 zenon_H1a3 zenon_H225 zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H23c zenon_H207 zenon_H270 zenon_H269.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 47.05/47.23 apply (zenon_L191_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H263 | zenon_intro zenon_H273 ].
% 47.05/47.23 apply (zenon_L192_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H25a | zenon_intro zenon_H26c ].
% 47.05/47.23 apply (zenon_L229_); trivial.
% 47.05/47.23 apply (zenon_L230_); trivial.
% 47.05/47.23 (* end of lemma zenon_L231_ *)
% 47.05/47.23 assert (zenon_L232_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H27c zenon_H1c4 zenon_H229 zenon_H183 zenon_H271 zenon_H25f zenon_H262 zenon_H276 zenon_H1ea zenon_H19d zenon_H194 zenon_H14 zenon_H1a3 zenon_H225 zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H23c zenon_H207 zenon_H270.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H257 | zenon_intro zenon_H284 ].
% 47.05/47.23 apply (zenon_L188_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H228 | zenon_intro zenon_H285 ].
% 47.05/47.23 apply (zenon_L176_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25a | zenon_intro zenon_H269 ].
% 47.05/47.23 apply (zenon_L229_); trivial.
% 47.05/47.23 apply (zenon_L231_); trivial.
% 47.05/47.23 (* end of lemma zenon_L232_ *)
% 47.05/47.23 assert (zenon_L233_ : (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H23a zenon_H2a8 zenon_H222.
% 47.05/47.23 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H23a.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H2a8.
% 47.05/47.23 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25d].
% 47.05/47.23 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 47.05/47.23 congruence.
% 47.05/47.23 apply zenon_H1a5. apply refl_equal.
% 47.05/47.23 apply zenon_H25d. apply sym_equal. exact zenon_H222.
% 47.05/47.23 (* end of lemma zenon_L233_ *)
% 47.05/47.23 assert (zenon_L234_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H2b5 zenon_H183 zenon_H1b3 zenon_H222 zenon_H23a zenon_H29a zenon_H299 zenon_H194 zenon_H14 zenon_H1a3.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2b6 ].
% 47.05/47.23 apply (zenon_L154_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b7 ].
% 47.05/47.23 apply (zenon_L233_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H23b | zenon_intro zenon_H1a2 ].
% 47.05/47.23 apply (zenon_L215_); trivial.
% 47.05/47.23 apply (zenon_L151_); trivial.
% 47.05/47.23 (* end of lemma zenon_L234_ *)
% 47.05/47.23 assert (zenon_L235_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e22) (e22)) = (e23)) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H24b zenon_H234 zenon_H299 zenon_H29a zenon_H23a zenon_H1b3 zenon_H183 zenon_H2b5 zenon_H207 zenon_H225 zenon_H1a3 zenon_H14 zenon_H194 zenon_H19d zenon_H1ea zenon_H276 zenon_H271 zenon_H25f zenon_H262 zenon_H265 zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H270 zenon_H269.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H233 | zenon_intro zenon_H24c ].
% 47.05/47.23 apply (zenon_L179_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H222 | zenon_intro zenon_H24d ].
% 47.05/47.23 apply (zenon_L234_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23c | zenon_intro zenon_H223 ].
% 47.05/47.23 apply (zenon_L231_); trivial.
% 47.05/47.23 apply (zenon_L200_); trivial.
% 47.05/47.23 (* end of lemma zenon_L235_ *)
% 47.05/47.23 assert (zenon_L236_ : ((op2 (e23) (e20)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> (~((e20) = (e21))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H1ed zenon_H2b8 zenon_H1df.
% 47.05/47.23 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H181 ].
% 47.05/47.23 cut (((e21) = (e21)) = ((e20) = (e21))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H1df.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H1e0.
% 47.05/47.23 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.05/47.23 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((op2 (e23) (e20)) = (e20)) = ((e21) = (e20))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H1e1.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H1ed.
% 47.05/47.23 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.05/47.23 cut (((op2 (e23) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2b9].
% 47.05/47.23 congruence.
% 47.05/47.23 exact (zenon_H2b9 zenon_H2b8).
% 47.05/47.23 apply zenon_H19a. apply refl_equal.
% 47.05/47.23 apply zenon_H181. apply refl_equal.
% 47.05/47.23 apply zenon_H181. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L236_ *)
% 47.05/47.23 assert (zenon_L237_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((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 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e23)) = (e21)) -> ((op2 (e20) (e22)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e20)) -> (~((e20) = (e21))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H2ba zenon_H27d zenon_H1c7 zenon_H259 zenon_H230 zenon_H25c zenon_H27a zenon_H1d3 zenon_H1da zenon_H18b zenon_H19d zenon_H1b0 zenon_H1e4 zenon_H183 zenon_H2bb zenon_H2bc zenon_H2ab zenon_H265 zenon_H28d zenon_H1b9 zenon_H287 zenon_H24b zenon_H234 zenon_H299 zenon_H23a zenon_H1b3 zenon_H2b5 zenon_H185 zenon_H270 zenon_H23f zenon_H1be zenon_H193 zenon_H225 zenon_H262 zenon_H25f zenon_H271 zenon_H229 zenon_H1c4 zenon_H27c zenon_H276 zenon_H2bd zenon_H1a3 zenon_H194 zenon_H14 zenon_H1aa zenon_H27b zenon_H1ed zenon_H1df.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.05/47.23 apply (zenon_L208_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.05/47.23 apply (zenon_L219_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.05/47.23 apply (zenon_L148_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.05/47.23 apply (zenon_L148_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.05/47.23 apply (zenon_L145_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.05/47.23 apply (zenon_L160_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H29f | zenon_intro zenon_H2c2 ].
% 47.05/47.23 apply (zenon_L220_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2c3 ].
% 47.05/47.23 apply (zenon_L163_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H1f9 ].
% 47.05/47.23 apply (zenon_L224_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H23b | zenon_intro zenon_H2c4 ].
% 47.05/47.23 apply (zenon_L222_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2c5 ].
% 47.05/47.23 apply (zenon_L223_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H29a | zenon_intro zenon_H23c ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.05/47.23 apply (zenon_L151_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.05/47.23 apply (zenon_L164_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1db | zenon_intro zenon_H28e ].
% 47.05/47.23 apply (zenon_L165_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 47.05/47.23 apply (zenon_L209_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23c | zenon_intro zenon_H269 ].
% 47.05/47.23 apply (zenon_L232_); trivial.
% 47.05/47.23 apply (zenon_L235_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H257 | zenon_intro zenon_H284 ].
% 47.05/47.23 apply (zenon_L188_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H228 | zenon_intro zenon_H285 ].
% 47.05/47.23 apply (zenon_L176_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25a | zenon_intro zenon_H269 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1db | zenon_intro zenon_H28e ].
% 47.05/47.23 apply (zenon_L165_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 47.05/47.23 apply (zenon_L209_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23c | zenon_intro zenon_H269 ].
% 47.05/47.23 apply (zenon_L229_); trivial.
% 47.05/47.23 apply (zenon_L196_); trivial.
% 47.05/47.23 apply (zenon_L200_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.05/47.23 apply (zenon_L151_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.05/47.23 apply (zenon_L168_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.05/47.23 apply (zenon_L232_); trivial.
% 47.05/47.23 apply (zenon_L210_); trivial.
% 47.05/47.23 apply (zenon_L167_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.05/47.23 apply (zenon_L151_); trivial.
% 47.05/47.23 apply (zenon_L152_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.05/47.23 apply (zenon_L186_); trivial.
% 47.05/47.23 apply (zenon_L207_); trivial.
% 47.05/47.23 apply (zenon_L236_); trivial.
% 47.05/47.23 (* end of lemma zenon_L237_ *)
% 47.05/47.23 assert (zenon_L238_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H27b zenon_H14 zenon_H194 zenon_H193 zenon_H1d3 zenon_H29f zenon_H19d zenon_H18b zenon_H1db zenon_H276.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.05/47.23 apply (zenon_L148_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.05/47.23 apply (zenon_L220_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.05/47.23 apply (zenon_L186_); trivial.
% 47.05/47.23 apply (zenon_L217_); trivial.
% 47.05/47.23 (* end of lemma zenon_L238_ *)
% 47.05/47.23 assert (zenon_L239_ : (((op2 (op2 (e20) (e21)) (op2 (e20) (e21))) = (e20))/\(((op2 (op2 (e21) (e21)) (op2 (e21) (e21))) = (e21))/\(((op2 (op2 (e22) (e21)) (op2 (e22) (e21))) = (e22))/\((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H1f8 zenon_H22e zenon_H278 zenon_H20a.
% 47.05/47.23 apply (zenon_and_s _ _ zenon_H1f8). zenon_intro zenon_H1fb. zenon_intro zenon_H1fa.
% 47.05/47.23 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1fd. zenon_intro zenon_H1fc.
% 47.05/47.23 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H1ff. zenon_intro zenon_H1fe.
% 47.05/47.23 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H20a.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H211.
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H213].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (e23)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H213.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H1fe.
% 47.05/47.23 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c6].
% 47.05/47.23 cut (((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H242].
% 47.05/47.23 congruence.
% 47.05/47.23 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e23) (e21)) (op2 (e23) (e21))) = (op2 (e23) (e23)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H242.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H211.
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.05/47.23 cut (((op2 (e23) (e23)) = (op2 (op2 (e23) (e21)) (op2 (e23) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H23e].
% 47.05/47.23 congruence.
% 47.05/47.23 apply (zenon_L181_); trivial.
% 47.05/47.23 apply zenon_H212. apply refl_equal.
% 47.05/47.23 apply zenon_H212. apply refl_equal.
% 47.05/47.23 apply zenon_H2c6. apply sym_equal. exact zenon_H278.
% 47.05/47.23 apply zenon_H212. apply refl_equal.
% 47.05/47.23 apply zenon_H212. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L239_ *)
% 47.05/47.23 assert (zenon_L240_ : ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H19c zenon_H1ed zenon_H193 zenon_H20a zenon_H278 zenon_H23f zenon_H23c zenon_H207 zenon_H229 zenon_H243 zenon_H22e.
% 47.05/47.23 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.05/47.23 apply (zenon_L169_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.05/47.23 apply (zenon_L239_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.05/47.23 apply (zenon_L225_); trivial.
% 47.05/47.23 apply (zenon_L183_); trivial.
% 47.05/47.23 (* end of lemma zenon_L240_ *)
% 47.05/47.23 assert (zenon_L241_ : (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e23))) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H2c7 zenon_H1d3 zenon_H1df zenon_H1dd zenon_H1a3 zenon_H14 zenon_H194 zenon_H299 zenon_H29a zenon_H23a zenon_H1b3 zenon_H183 zenon_H2b5 zenon_H19c zenon_H1ed zenon_H193 zenon_H20a zenon_H278 zenon_H23f zenon_H23c zenon_H207 zenon_H229 zenon_H22e.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1da | zenon_intro zenon_H2c8 ].
% 47.05/47.23 apply (zenon_L207_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1de | zenon_intro zenon_H2c9 ].
% 47.05/47.23 apply (zenon_L166_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H222 | zenon_intro zenon_H243 ].
% 47.05/47.23 apply (zenon_L234_); trivial.
% 47.05/47.23 apply (zenon_L240_); trivial.
% 47.05/47.23 (* end of lemma zenon_L241_ *)
% 47.05/47.23 assert (zenon_L242_ : ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H22e zenon_H25a zenon_H265 zenon_H269 zenon_H223.
% 47.05/47.23 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.05/47.23 apply (zenon_L169_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.05/47.23 apply (zenon_L182_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.05/47.23 apply (zenon_L193_); trivial.
% 47.05/47.23 apply (zenon_L195_); trivial.
% 47.05/47.23 (* end of lemma zenon_L242_ *)
% 47.05/47.23 assert (zenon_L243_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H271 zenon_H25f zenon_H229 zenon_H265 zenon_H19c zenon_H1ed zenon_H193 zenon_H22e zenon_H23f zenon_H223 zenon_H270 zenon_H269.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 47.05/47.23 apply (zenon_L191_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H263 | zenon_intro zenon_H273 ].
% 47.05/47.23 apply (zenon_L202_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H25a | zenon_intro zenon_H26c ].
% 47.05/47.23 apply (zenon_L242_); trivial.
% 47.05/47.23 apply (zenon_L203_); trivial.
% 47.05/47.23 (* end of lemma zenon_L243_ *)
% 47.05/47.23 assert (zenon_L244_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H24b zenon_H234 zenon_H183 zenon_H14 zenon_H2a8 zenon_H23a zenon_H243 zenon_H207 zenon_H278 zenon_H20a zenon_H271 zenon_H25f zenon_H229 zenon_H265 zenon_H19c zenon_H1ed zenon_H193 zenon_H22e zenon_H23f zenon_H270 zenon_H269.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H233 | zenon_intro zenon_H24c ].
% 47.05/47.23 apply (zenon_L179_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H222 | zenon_intro zenon_H24d ].
% 47.05/47.23 apply (zenon_L233_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23c | zenon_intro zenon_H223 ].
% 47.05/47.23 apply (zenon_L240_); trivial.
% 47.05/47.23 apply (zenon_L243_); trivial.
% 47.05/47.23 (* end of lemma zenon_L244_ *)
% 47.05/47.23 assert (zenon_L245_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e22) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H28d zenon_H276 zenon_H18b zenon_H19d zenon_H29f zenon_H27b zenon_H287 zenon_H2b5 zenon_H1b3 zenon_H29a zenon_H299 zenon_H194 zenon_H1a3 zenon_H1dd zenon_H1df zenon_H1d3 zenon_H2c7 zenon_H24b zenon_H234 zenon_H183 zenon_H14 zenon_H2a8 zenon_H23a zenon_H243 zenon_H207 zenon_H278 zenon_H20a zenon_H271 zenon_H25f zenon_H229 zenon_H265 zenon_H19c zenon_H1ed zenon_H193 zenon_H22e zenon_H23f zenon_H270.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1db | zenon_intro zenon_H28e ].
% 47.05/47.23 apply (zenon_L238_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 47.05/47.23 apply (zenon_L209_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23c | zenon_intro zenon_H269 ].
% 47.05/47.23 apply (zenon_L241_); trivial.
% 47.05/47.23 apply (zenon_L244_); trivial.
% 47.05/47.23 (* end of lemma zenon_L245_ *)
% 47.05/47.23 assert (zenon_L246_ : ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e22)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H19c zenon_H1ed zenon_H193 zenon_H20a zenon_H278 zenon_H22e zenon_H23f zenon_H207 zenon_H270 zenon_H23c zenon_H25a.
% 47.05/47.23 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.05/47.23 apply (zenon_L169_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.05/47.23 apply (zenon_L239_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.05/47.23 apply (zenon_L225_); trivial.
% 47.05/47.23 apply (zenon_L227_); trivial.
% 47.05/47.23 (* end of lemma zenon_L246_ *)
% 47.05/47.23 assert (zenon_L247_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H27c zenon_H1c4 zenon_H20a zenon_H278 zenon_H207 zenon_H183 zenon_H287 zenon_H276 zenon_H28d zenon_H271 zenon_H25f zenon_H229 zenon_H265 zenon_H19c zenon_H1ed zenon_H193 zenon_H22e zenon_H23f zenon_H223 zenon_H270.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H257 | zenon_intro zenon_H284 ].
% 47.05/47.23 apply (zenon_L188_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H228 | zenon_intro zenon_H285 ].
% 47.05/47.23 apply (zenon_L176_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25a | zenon_intro zenon_H269 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1db | zenon_intro zenon_H28e ].
% 47.05/47.23 apply (zenon_L217_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 47.05/47.23 apply (zenon_L209_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23c | zenon_intro zenon_H269 ].
% 47.05/47.23 apply (zenon_L246_); trivial.
% 47.05/47.23 apply (zenon_L242_); trivial.
% 47.05/47.23 apply (zenon_L243_); trivial.
% 47.05/47.23 (* end of lemma zenon_L247_ *)
% 47.05/47.23 assert (zenon_L248_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((e20) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e21) = (e23))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H28d zenon_H18b zenon_H19d zenon_H29f zenon_H1d3 zenon_H194 zenon_H14 zenon_H27b zenon_H287 zenon_H183 zenon_H276 zenon_H19c zenon_H1ed zenon_H193 zenon_H22e zenon_H23f zenon_H223 zenon_H270 zenon_H26c.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1db | zenon_intro zenon_H28e ].
% 47.05/47.23 apply (zenon_L238_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 47.05/47.23 apply (zenon_L209_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23c | zenon_intro zenon_H269 ].
% 47.05/47.23 apply (zenon_L210_); trivial.
% 47.05/47.23 apply (zenon_L203_); trivial.
% 47.05/47.23 (* end of lemma zenon_L248_ *)
% 47.05/47.23 assert (zenon_L249_ : ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H183 zenon_H2ca zenon_H2cb.
% 47.05/47.23 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H252 | zenon_intro zenon_H253 ].
% 47.05/47.23 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2cb.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H252.
% 47.05/47.23 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H253].
% 47.05/47.23 cut (((op2 (e21) (e22)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((e22) = (op2 (e21) (e21))) = ((op2 (e21) (e22)) = (op2 (e21) (e21)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2cc.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H183.
% 47.05/47.23 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.05/47.23 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2cd].
% 47.05/47.23 congruence.
% 47.05/47.23 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H252 | zenon_intro zenon_H253 ].
% 47.05/47.23 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((e22) = (op2 (e21) (e22)))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H2cd.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H252.
% 47.05/47.23 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H253].
% 47.05/47.23 cut (((op2 (e21) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2ce].
% 47.05/47.23 congruence.
% 47.05/47.23 exact (zenon_H2ce zenon_H2ca).
% 47.05/47.23 apply zenon_H253. apply refl_equal.
% 47.05/47.23 apply zenon_H253. apply refl_equal.
% 47.05/47.23 apply zenon_H1c0. apply refl_equal.
% 47.05/47.23 apply zenon_H253. apply refl_equal.
% 47.05/47.23 apply zenon_H253. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L249_ *)
% 47.05/47.23 assert (zenon_L250_ : ((op2 (e20) (e22)) = (e20)) -> ((op2 (e20) (e22)) = (e21)) -> (~((e20) = (e21))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H18b zenon_H2cf zenon_H1df.
% 47.05/47.23 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H181 ].
% 47.05/47.23 cut (((e21) = (e21)) = ((e20) = (e21))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H1df.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H1e0.
% 47.05/47.23 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.05/47.23 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 47.05/47.23 congruence.
% 47.05/47.23 cut (((op2 (e20) (e22)) = (e20)) = ((e21) = (e20))).
% 47.05/47.23 intro zenon_D_pnotp.
% 47.05/47.23 apply zenon_H1e1.
% 47.05/47.23 rewrite <- zenon_D_pnotp.
% 47.05/47.23 exact zenon_H18b.
% 47.05/47.23 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.05/47.23 cut (((op2 (e20) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2d0].
% 47.05/47.23 congruence.
% 47.05/47.23 exact (zenon_H2d0 zenon_H2cf).
% 47.05/47.23 apply zenon_H19a. apply refl_equal.
% 47.05/47.23 apply zenon_H181. apply refl_equal.
% 47.05/47.23 apply zenon_H181. apply refl_equal.
% 47.05/47.23 (* end of lemma zenon_L250_ *)
% 47.05/47.23 assert (zenon_L251_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (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)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((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 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e20)) -> (~((e20) = (e23))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((e20) = (e22))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e22) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((e20) = (e21))) -> False).
% 47.05/47.23 do 0 intro. intros zenon_H2d1 zenon_H18d zenon_H2d2 zenon_H22d zenon_H29c zenon_H291 zenon_H295 zenon_H216 zenon_H2d3 zenon_H2d4 zenon_H251 zenon_H2d5 zenon_H2d6 zenon_H2cb zenon_H2c7 zenon_H20a zenon_H1cf zenon_H2d7 zenon_H2a0 zenon_H2ba zenon_H27d zenon_H1c7 zenon_H259 zenon_H230 zenon_H25c zenon_H27a zenon_H1d3 zenon_H18b zenon_H19d zenon_H1b0 zenon_H1e4 zenon_H183 zenon_H2bb zenon_H2bc zenon_H2ab zenon_H265 zenon_H28d zenon_H1b9 zenon_H287 zenon_H24b zenon_H234 zenon_H299 zenon_H23a zenon_H1b3 zenon_H2b5 zenon_H185 zenon_H270 zenon_H23f zenon_H1be zenon_H193 zenon_H225 zenon_H262 zenon_H25f zenon_H271 zenon_H229 zenon_H1c4 zenon_H27c zenon_H276 zenon_H2bd zenon_H1a3 zenon_H194 zenon_H14 zenon_H1aa zenon_H27b zenon_H1df.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H18c | zenon_intro zenon_H2d8 ].
% 47.05/47.23 apply (zenon_L146_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H19b | zenon_intro zenon_H2d9 ].
% 47.05/47.23 apply (zenon_L153_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1ed ].
% 47.05/47.23 apply (zenon_L154_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.05/47.23 apply (zenon_L155_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.05/47.23 apply (zenon_L156_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.05/47.23 apply (zenon_L157_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H280 ].
% 47.05/47.23 apply (zenon_L155_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H281 ].
% 47.05/47.23 apply (zenon_L158_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H23b | zenon_intro zenon_H257 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.05/47.23 apply (zenon_L148_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.05/47.23 apply (zenon_L148_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.05/47.23 apply (zenon_L150_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.05/47.23 apply (zenon_L160_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.05/47.23 apply (zenon_L161_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.05/47.23 apply (zenon_L145_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.05/47.23 apply (zenon_L160_); trivial.
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.05/47.23 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.23 apply (zenon_L162_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.23 apply (zenon_L163_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.23 apply (zenon_L164_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1da | zenon_intro zenon_H2c8 ].
% 47.07/47.23 apply (zenon_L165_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1de | zenon_intro zenon_H2c9 ].
% 47.07/47.23 apply (zenon_L166_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H222 | zenon_intro zenon_H243 ].
% 47.07/47.23 apply (zenon_L178_); trivial.
% 47.07/47.23 apply (zenon_L185_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H24e | zenon_intro zenon_H2df ].
% 47.07/47.23 apply (zenon_L186_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H250 | zenon_intro zenon_H2e0 ].
% 47.07/47.23 apply (zenon_L187_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H207 | zenon_intro zenon_H26c ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1da | zenon_intro zenon_H2c8 ].
% 47.07/47.23 apply (zenon_L208_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1de | zenon_intro zenon_H2c9 ].
% 47.07/47.23 apply (zenon_L166_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H222 | zenon_intro zenon_H243 ].
% 47.07/47.23 apply (zenon_L174_); trivial.
% 47.07/47.23 apply (zenon_L184_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1da | zenon_intro zenon_H2c8 ].
% 47.07/47.23 apply (zenon_L212_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1de | zenon_intro zenon_H2c9 ].
% 47.07/47.23 apply (zenon_L166_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H222 | zenon_intro zenon_H243 ].
% 47.07/47.23 apply (zenon_L174_); trivial.
% 47.07/47.23 apply (zenon_L216_); trivial.
% 47.07/47.23 apply (zenon_L166_); trivial.
% 47.07/47.23 apply (zenon_L167_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_L152_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.23 apply (zenon_L186_); trivial.
% 47.07/47.23 apply (zenon_L217_); trivial.
% 47.07/47.23 apply (zenon_L188_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.23 apply (zenon_L218_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.23 apply (zenon_L219_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.23 apply (zenon_L148_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.23 apply (zenon_L220_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.23 apply (zenon_L186_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.23 apply (zenon_L148_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.07/47.23 apply (zenon_L150_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.07/47.23 apply (zenon_L160_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.07/47.23 apply (zenon_L161_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.23 apply (zenon_L145_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.23 apply (zenon_L160_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2e2 ].
% 47.07/47.23 apply (zenon_L220_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2e3 ].
% 47.07/47.23 apply (zenon_L221_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H22e ].
% 47.07/47.23 apply (zenon_L168_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H23b | zenon_intro zenon_H2c4 ].
% 47.07/47.23 apply (zenon_L222_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2c5 ].
% 47.07/47.23 apply (zenon_L223_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H29a | zenon_intro zenon_H23c ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.23 apply (zenon_L168_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1da | zenon_intro zenon_H2c8 ].
% 47.07/47.23 apply (zenon_L237_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1de | zenon_intro zenon_H2c9 ].
% 47.07/47.23 apply (zenon_L166_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H222 | zenon_intro zenon_H243 ].
% 47.07/47.23 apply (zenon_L234_); trivial.
% 47.07/47.23 apply (zenon_L245_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H24e | zenon_intro zenon_H2df ].
% 47.07/47.23 apply (zenon_L186_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H250 | zenon_intro zenon_H2e0 ].
% 47.07/47.23 apply (zenon_L187_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H207 | zenon_intro zenon_H26c ].
% 47.07/47.23 apply (zenon_L247_); trivial.
% 47.07/47.23 apply (zenon_L248_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H2e4 ].
% 47.07/47.23 apply (zenon_L157_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2e5 ].
% 47.07/47.23 apply (zenon_L249_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H29a | zenon_intro zenon_H25a ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.23 apply (zenon_L168_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.23 apply (zenon_L241_); trivial.
% 47.07/47.23 apply (zenon_L210_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.23 apply (zenon_L168_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.23 apply (zenon_L246_); trivial.
% 47.07/47.23 apply (zenon_L210_); trivial.
% 47.07/47.23 apply (zenon_L167_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_L152_); trivial.
% 47.07/47.23 apply (zenon_L236_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.23 apply (zenon_L250_); trivial.
% 47.07/47.23 apply (zenon_L237_); trivial.
% 47.07/47.23 (* end of lemma zenon_L251_ *)
% 47.07/47.23 assert (zenon_L252_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2e6 zenon_H18c zenon_H2e7.
% 47.07/47.23 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H25e ].
% 47.07/47.23 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H2e7.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2e8.
% 47.07/47.23 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25e].
% 47.07/47.23 cut (((op2 (e20) (e23)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2e9].
% 47.07/47.23 congruence.
% 47.07/47.23 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e20) (e20)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H2e9.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2e6.
% 47.07/47.23 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H191].
% 47.07/47.23 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25e].
% 47.07/47.23 congruence.
% 47.07/47.23 apply zenon_H25e. apply refl_equal.
% 47.07/47.23 apply zenon_H191. apply sym_equal. exact zenon_H18c.
% 47.07/47.23 apply zenon_H25e. apply refl_equal.
% 47.07/47.23 apply zenon_H25e. apply refl_equal.
% 47.07/47.23 (* end of lemma zenon_L252_ *)
% 47.07/47.23 assert (zenon_L253_ : ((op2 (e21) (e22)) = (e20)) -> ((op2 (e21) (e22)) = (e21)) -> (~((e20) = (e21))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H1d0 zenon_H296 zenon_H1df.
% 47.07/47.23 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H181 ].
% 47.07/47.23 cut (((e21) = (e21)) = ((e20) = (e21))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H1df.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H1e0.
% 47.07/47.23 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.07/47.23 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 47.07/47.23 congruence.
% 47.07/47.23 cut (((op2 (e21) (e22)) = (e20)) = ((e21) = (e20))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H1e1.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H1d0.
% 47.07/47.23 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.07/47.23 cut (((op2 (e21) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2ea].
% 47.07/47.23 congruence.
% 47.07/47.23 exact (zenon_H2ea zenon_H296).
% 47.07/47.23 apply zenon_H19a. apply refl_equal.
% 47.07/47.23 apply zenon_H181. apply refl_equal.
% 47.07/47.23 apply zenon_H181. apply refl_equal.
% 47.07/47.23 (* end of lemma zenon_L253_ *)
% 47.07/47.23 assert (zenon_L254_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2eb zenon_H1de zenon_H222.
% 47.07/47.23 cut (((op2 (e21) (e23)) = (e21)) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H2eb.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H1de.
% 47.07/47.23 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25d].
% 47.07/47.23 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 47.07/47.23 congruence.
% 47.07/47.23 apply zenon_H289. apply refl_equal.
% 47.07/47.23 apply zenon_H25d. apply sym_equal. exact zenon_H222.
% 47.07/47.23 (* end of lemma zenon_L254_ *)
% 47.07/47.23 assert (zenon_L255_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e22) = (e23))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H24b zenon_H234 zenon_H183 zenon_H1de zenon_H2eb zenon_H207 zenon_H225 zenon_H1a3 zenon_H14 zenon_H194 zenon_H19d zenon_H1ea zenon_H276 zenon_H271 zenon_H25f zenon_H262 zenon_H265 zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H270 zenon_H269.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H233 | zenon_intro zenon_H24c ].
% 47.07/47.23 apply (zenon_L179_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H222 | zenon_intro zenon_H24d ].
% 47.07/47.23 apply (zenon_L254_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23c | zenon_intro zenon_H223 ].
% 47.07/47.23 apply (zenon_L231_); trivial.
% 47.07/47.23 apply (zenon_L200_); trivial.
% 47.07/47.23 (* end of lemma zenon_L255_ *)
% 47.07/47.23 assert (zenon_L256_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H230 zenon_H1e4 zenon_H1d7 zenon_H1be zenon_H262 zenon_H276 zenon_H1ea zenon_H19d zenon_H194 zenon_H14 zenon_H1a3 zenon_H225 zenon_H207 zenon_H2eb zenon_H1de zenon_H234 zenon_H24b zenon_H183 zenon_H271 zenon_H25f zenon_H265 zenon_H229 zenon_H1c3 zenon_H259 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H223 zenon_H270 zenon_H269.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H231 ].
% 47.07/47.23 apply (zenon_L167_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H232 ].
% 47.07/47.23 apply (zenon_L255_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H22e ].
% 47.07/47.23 apply (zenon_L176_); trivial.
% 47.07/47.23 apply (zenon_L204_); trivial.
% 47.07/47.23 (* end of lemma zenon_L256_ *)
% 47.07/47.23 assert (zenon_L257_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H27c zenon_H1c4 zenon_H1c3 zenon_H259 zenon_H230 zenon_H1e4 zenon_H14 zenon_H1d7 zenon_H1be zenon_H229 zenon_H183 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H223 zenon_H270 zenon_H26c.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H257 | zenon_intro zenon_H284 ].
% 47.07/47.23 apply (zenon_L188_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H228 | zenon_intro zenon_H285 ].
% 47.07/47.23 apply (zenon_L176_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25a | zenon_intro zenon_H269 ].
% 47.07/47.23 apply (zenon_L189_); trivial.
% 47.07/47.23 apply (zenon_L211_); trivial.
% 47.07/47.23 (* end of lemma zenon_L257_ *)
% 47.07/47.23 assert (zenon_L258_ : (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H23a zenon_H23b zenon_H2d5 zenon_H251 zenon_H265 zenon_H25f zenon_H271 zenon_H24b zenon_H234 zenon_H1de zenon_H2eb zenon_H225 zenon_H1a3 zenon_H194 zenon_H19d zenon_H1ea zenon_H276 zenon_H262 zenon_H27c zenon_H1c4 zenon_H1c3 zenon_H259 zenon_H230 zenon_H1e4 zenon_H14 zenon_H1d7 zenon_H1be zenon_H229 zenon_H183 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H270.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.23 apply (zenon_L168_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H257 | zenon_intro zenon_H284 ].
% 47.07/47.23 apply (zenon_L188_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H228 | zenon_intro zenon_H285 ].
% 47.07/47.23 apply (zenon_L176_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25a | zenon_intro zenon_H269 ].
% 47.07/47.23 apply (zenon_L189_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H233 | zenon_intro zenon_H24c ].
% 47.07/47.23 apply (zenon_L179_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H222 | zenon_intro zenon_H24d ].
% 47.07/47.23 apply (zenon_L254_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23c | zenon_intro zenon_H223 ].
% 47.07/47.23 apply (zenon_L180_); trivial.
% 47.07/47.23 apply (zenon_L256_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H24e | zenon_intro zenon_H2df ].
% 47.07/47.23 apply (zenon_L206_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H250 | zenon_intro zenon_H2e0 ].
% 47.07/47.23 apply (zenon_L187_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H207 | zenon_intro zenon_H26c ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H257 | zenon_intro zenon_H284 ].
% 47.07/47.23 apply (zenon_L188_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H228 | zenon_intro zenon_H285 ].
% 47.07/47.23 apply (zenon_L176_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25a | zenon_intro zenon_H269 ].
% 47.07/47.23 apply (zenon_L189_); trivial.
% 47.07/47.23 apply (zenon_L256_); trivial.
% 47.07/47.23 apply (zenon_L257_); trivial.
% 47.07/47.23 (* end of lemma zenon_L258_ *)
% 47.07/47.23 assert (zenon_L259_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e21) (e23)) = (e20)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2ec zenon_H2e6 zenon_H1dd.
% 47.07/47.23 cut (((op2 (e20) (e23)) = (e20)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H2ec.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2e6.
% 47.07/47.23 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 47.07/47.23 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25e].
% 47.07/47.23 congruence.
% 47.07/47.23 apply zenon_H25e. apply refl_equal.
% 47.07/47.23 apply zenon_H2ed. apply sym_equal. exact zenon_H1dd.
% 47.07/47.23 (* end of lemma zenon_L259_ *)
% 47.07/47.23 assert (zenon_L260_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e23)) -> (~((e20) = (e23))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2e6 zenon_H278 zenon_H19d.
% 47.07/47.23 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.07/47.23 cut (((e23) = (e23)) = ((e20) = (e23))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H19d.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H19e.
% 47.07/47.23 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.07/47.23 cut (((e23) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 47.07/47.23 congruence.
% 47.07/47.23 cut (((op2 (e20) (e23)) = (e20)) = ((e23) = (e20))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H1a0.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2e6.
% 47.07/47.23 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.07/47.23 cut (((op2 (e20) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H279].
% 47.07/47.23 congruence.
% 47.07/47.23 exact (zenon_H279 zenon_H278).
% 47.07/47.23 apply zenon_H19a. apply refl_equal.
% 47.07/47.23 apply zenon_H19f. apply refl_equal.
% 47.07/47.23 apply zenon_H19f. apply refl_equal.
% 47.07/47.23 (* end of lemma zenon_L260_ *)
% 47.07/47.23 assert (zenon_L261_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e22))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2e6 zenon_H1db zenon_H1c4.
% 47.07/47.23 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.07/47.23 cut (((e22) = (e22)) = ((e20) = (e22))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H1c4.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H1ba.
% 47.07/47.23 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.07/47.23 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 47.07/47.23 congruence.
% 47.07/47.23 cut (((op2 (e20) (e23)) = (e20)) = ((e22) = (e20))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H1c5.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2e6.
% 47.07/47.23 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.07/47.23 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1dc].
% 47.07/47.23 congruence.
% 47.07/47.23 exact (zenon_H1dc zenon_H1db).
% 47.07/47.23 apply zenon_H19a. apply refl_equal.
% 47.07/47.23 apply zenon_H1bb. apply refl_equal.
% 47.07/47.23 apply zenon_H1bb. apply refl_equal.
% 47.07/47.23 (* end of lemma zenon_L261_ *)
% 47.07/47.23 assert (zenon_L262_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e23)) -> (~((e21) = (e23))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2cf zenon_H24e zenon_H1d3.
% 47.07/47.23 elim (classic ((e23) = (e23))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ].
% 47.07/47.23 cut (((e23) = (e23)) = ((e21) = (e23))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H1d3.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H19e.
% 47.07/47.23 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H19f].
% 47.07/47.23 cut (((e23) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1d4].
% 47.07/47.23 congruence.
% 47.07/47.23 cut (((op2 (e20) (e22)) = (e21)) = ((e23) = (e21))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H1d4.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2cf.
% 47.07/47.23 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.07/47.23 cut (((op2 (e20) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H24f].
% 47.07/47.23 congruence.
% 47.07/47.23 exact (zenon_H24f zenon_H24e).
% 47.07/47.23 apply zenon_H181. apply refl_equal.
% 47.07/47.23 apply zenon_H19f. apply refl_equal.
% 47.07/47.23 apply zenon_H19f. apply refl_equal.
% 47.07/47.23 (* end of lemma zenon_L262_ *)
% 47.07/47.23 assert (zenon_L263_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H299 zenon_H2a8 zenon_H297.
% 47.07/47.23 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H299.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2a8.
% 47.07/47.23 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H298].
% 47.07/47.23 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1a5].
% 47.07/47.23 congruence.
% 47.07/47.23 apply zenon_H1a5. apply refl_equal.
% 47.07/47.23 apply zenon_H298. apply sym_equal. exact zenon_H297.
% 47.07/47.23 (* end of lemma zenon_L263_ *)
% 47.07/47.23 assert (zenon_L264_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e23)) -> ((op2 (e22) (e22)) = (e23)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H216 zenon_H24e zenon_H207.
% 47.07/47.23 cut (((op2 (e20) (e22)) = (e23)) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H216.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H24e.
% 47.07/47.23 cut (((e23) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.07/47.23 congruence.
% 47.07/47.23 apply zenon_H18f. apply refl_equal.
% 47.07/47.23 apply zenon_H208. apply sym_equal. exact zenon_H207.
% 47.07/47.23 (* end of lemma zenon_L264_ *)
% 47.07/47.23 assert (zenon_L265_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H28d zenon_H1c4 zenon_H2e6 zenon_H287 zenon_H183 zenon_H276 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H22e zenon_H263 zenon_H229 zenon_H265 zenon_H223.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1db | zenon_intro zenon_H28e ].
% 47.07/47.23 apply (zenon_L261_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 47.07/47.23 apply (zenon_L209_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23c | zenon_intro zenon_H269 ].
% 47.07/47.23 apply (zenon_L210_); trivial.
% 47.07/47.23 apply (zenon_L202_); trivial.
% 47.07/47.23 (* end of lemma zenon_L265_ *)
% 47.07/47.23 assert (zenon_L266_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e20)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2cf zenon_H1b7 zenon_H18d.
% 47.07/47.23 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H18e | zenon_intro zenon_H18f ].
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H18d.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H18e.
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H190].
% 47.07/47.23 congruence.
% 47.07/47.23 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e20) (e20)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H190.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2cf.
% 47.07/47.23 cut (((e21) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2a2].
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.07/47.23 congruence.
% 47.07/47.23 apply zenon_H18f. apply refl_equal.
% 47.07/47.23 apply zenon_H2a2. apply sym_equal. exact zenon_H1b7.
% 47.07/47.23 apply zenon_H18f. apply refl_equal.
% 47.07/47.23 apply zenon_H18f. apply refl_equal.
% 47.07/47.23 (* end of lemma zenon_L266_ *)
% 47.07/47.23 assert (zenon_L267_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2ee zenon_H2e6 zenon_H2ec zenon_H1d2 zenon_H287 zenon_H183 zenon_H194 zenon_H14 zenon_H2ef.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H1dd | zenon_intro zenon_H2f0 ].
% 47.07/47.23 apply (zenon_L259_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H1de | zenon_intro zenon_H2f1 ].
% 47.07/47.23 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H2ef.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H1d2.
% 47.07/47.23 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 47.07/47.23 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1cb].
% 47.07/47.23 congruence.
% 47.07/47.23 apply zenon_H1cb. apply refl_equal.
% 47.07/47.23 apply zenon_H2f2. apply sym_equal. exact zenon_H1de.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H286 | zenon_intro zenon_H2f3 ].
% 47.07/47.23 apply (zenon_L209_); trivial.
% 47.07/47.23 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H288 | zenon_intro zenon_H289 ].
% 47.07/47.23 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H2ef.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H288.
% 47.07/47.23 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 47.07/47.23 cut (((op2 (e21) (e23)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2f4].
% 47.07/47.23 congruence.
% 47.07/47.23 cut (((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((op2 (e21) (e23)) = (op2 (e21) (e20)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H2f4.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H194.
% 47.07/47.23 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H192].
% 47.07/47.23 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f5].
% 47.07/47.23 congruence.
% 47.07/47.23 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H288 | zenon_intro zenon_H289 ].
% 47.07/47.23 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e23) = (op2 (e21) (e23)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H2f5.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H288.
% 47.07/47.23 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H289].
% 47.07/47.23 cut (((op2 (e21) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2f6].
% 47.07/47.23 congruence.
% 47.07/47.23 exact (zenon_H2f6 zenon_H2f3).
% 47.07/47.23 apply zenon_H289. apply refl_equal.
% 47.07/47.23 apply zenon_H289. apply refl_equal.
% 47.07/47.23 apply (zenon_L147_); trivial.
% 47.07/47.23 apply zenon_H289. apply refl_equal.
% 47.07/47.23 apply zenon_H289. apply refl_equal.
% 47.07/47.23 (* end of lemma zenon_L267_ *)
% 47.07/47.23 assert (zenon_L268_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2cf zenon_H29f zenon_H2f7.
% 47.07/47.23 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H18e | zenon_intro zenon_H18f ].
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H2f7.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H18e.
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f8].
% 47.07/47.23 congruence.
% 47.07/47.23 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H2f8.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2cf.
% 47.07/47.23 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f9].
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.07/47.23 congruence.
% 47.07/47.23 apply zenon_H18f. apply refl_equal.
% 47.07/47.23 apply zenon_H2f9. apply sym_equal. exact zenon_H29f.
% 47.07/47.23 apply zenon_H18f. apply refl_equal.
% 47.07/47.23 apply zenon_H18f. apply refl_equal.
% 47.07/47.23 (* end of lemma zenon_L268_ *)
% 47.07/47.23 assert (zenon_L269_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H259 zenon_H2cf zenon_H263.
% 47.07/47.23 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H259.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2cf.
% 47.07/47.23 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H264].
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.07/47.23 congruence.
% 47.07/47.23 apply zenon_H18f. apply refl_equal.
% 47.07/47.23 apply zenon_H264. apply sym_equal. exact zenon_H263.
% 47.07/47.23 (* end of lemma zenon_L269_ *)
% 47.07/47.23 assert (zenon_L270_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H271 zenon_H25f zenon_H2cf zenon_H259 zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H23c zenon_H207 zenon_H270 zenon_H269.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 47.07/47.23 apply (zenon_L191_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H263 | zenon_intro zenon_H273 ].
% 47.07/47.23 apply (zenon_L269_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H25a | zenon_intro zenon_H26c ].
% 47.07/47.23 apply (zenon_L228_); trivial.
% 47.07/47.23 apply (zenon_L230_); trivial.
% 47.07/47.23 (* end of lemma zenon_L270_ *)
% 47.07/47.23 assert (zenon_L271_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> (~((e20) = (e23))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H27c zenon_H1c4 zenon_H229 zenon_H183 zenon_H276 zenon_H1ea zenon_H19d zenon_H194 zenon_H14 zenon_H1a3 zenon_H225 zenon_H271 zenon_H25f zenon_H2cf zenon_H259 zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H23c zenon_H207 zenon_H270.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H257 | zenon_intro zenon_H284 ].
% 47.07/47.23 apply (zenon_L188_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H228 | zenon_intro zenon_H285 ].
% 47.07/47.23 apply (zenon_L176_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25a | zenon_intro zenon_H269 ].
% 47.07/47.23 apply (zenon_L229_); trivial.
% 47.07/47.23 apply (zenon_L270_); trivial.
% 47.07/47.23 (* end of lemma zenon_L271_ *)
% 47.07/47.23 assert (zenon_L272_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e21)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H271 zenon_H25f zenon_H2cf zenon_H259 zenon_H265 zenon_H1f9 zenon_H230 zenon_H1e4 zenon_H14 zenon_H1d7 zenon_H1be zenon_H229 zenon_H183 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H223 zenon_H270 zenon_H269.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 47.07/47.23 apply (zenon_L191_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H263 | zenon_intro zenon_H273 ].
% 47.07/47.23 apply (zenon_L269_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H25a | zenon_intro zenon_H26c ].
% 47.07/47.23 apply (zenon_L196_); trivial.
% 47.07/47.23 apply (zenon_L211_); trivial.
% 47.07/47.23 (* end of lemma zenon_L272_ *)
% 47.07/47.23 assert (zenon_L273_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e22)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e21)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e23)) = (e22)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H24b zenon_H234 zenon_H1de zenon_H2eb zenon_H207 zenon_H271 zenon_H25f zenon_H2cf zenon_H259 zenon_H265 zenon_H1f9 zenon_H230 zenon_H1e4 zenon_H14 zenon_H1d7 zenon_H1be zenon_H229 zenon_H183 zenon_H19c zenon_H1ed zenon_H193 zenon_H23f zenon_H270 zenon_H269.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H233 | zenon_intro zenon_H24c ].
% 47.07/47.23 apply (zenon_L179_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H222 | zenon_intro zenon_H24d ].
% 47.07/47.23 apply (zenon_L254_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23c | zenon_intro zenon_H223 ].
% 47.07/47.23 apply (zenon_L270_); trivial.
% 47.07/47.23 apply (zenon_L272_); trivial.
% 47.07/47.23 (* end of lemma zenon_L273_ *)
% 47.07/47.23 assert (zenon_L274_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> (~((e22) = (e23))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H28d zenon_H1c4 zenon_H2e6 zenon_H287 zenon_H183 zenon_H276 zenon_H19c zenon_H1ed zenon_H193 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H223 zenon_H270 zenon_H26c.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1db | zenon_intro zenon_H28e ].
% 47.07/47.23 apply (zenon_L261_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 47.07/47.23 apply (zenon_L209_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23c | zenon_intro zenon_H269 ].
% 47.07/47.23 apply (zenon_L210_); trivial.
% 47.07/47.23 apply (zenon_L199_); trivial.
% 47.07/47.23 (* end of lemma zenon_L274_ *)
% 47.07/47.23 assert (zenon_L275_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H1cf zenon_H2cf zenon_H296.
% 47.07/47.23 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H1cf.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2cf.
% 47.07/47.23 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 47.07/47.23 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.07/47.23 congruence.
% 47.07/47.23 apply zenon_H18f. apply refl_equal.
% 47.07/47.23 apply zenon_H2fa. apply sym_equal. exact zenon_H296.
% 47.07/47.23 (* end of lemma zenon_L275_ *)
% 47.07/47.23 assert (zenon_L276_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((e21) = (e23))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e20) = (e21))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2d3 zenon_H1aa zenon_H14 zenon_H194 zenon_H1a3 zenon_H1d3 zenon_H193 zenon_H1b0 zenon_H1b9 zenon_H183 zenon_H2cf zenon_H1cf zenon_H1dd zenon_H1df.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.23 apply (zenon_L219_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.23 apply (zenon_L163_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.23 apply (zenon_L275_); trivial.
% 47.07/47.23 apply (zenon_L166_); trivial.
% 47.07/47.23 (* end of lemma zenon_L276_ *)
% 47.07/47.23 assert (zenon_L277_ : ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (e23)) = (e21)) -> (~((e20) = (e21))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2e6 zenon_H1da zenon_H1df.
% 47.07/47.23 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H181 ].
% 47.07/47.23 cut (((e21) = (e21)) = ((e20) = (e21))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H1df.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H1e0.
% 47.07/47.23 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.07/47.23 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 47.07/47.23 congruence.
% 47.07/47.23 cut (((op2 (e20) (e23)) = (e20)) = ((e21) = (e20))).
% 47.07/47.23 intro zenon_D_pnotp.
% 47.07/47.23 apply zenon_H1e1.
% 47.07/47.23 rewrite <- zenon_D_pnotp.
% 47.07/47.23 exact zenon_H2e6.
% 47.07/47.23 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.07/47.23 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2fb].
% 47.07/47.23 congruence.
% 47.07/47.23 exact (zenon_H2fb zenon_H1da).
% 47.07/47.23 apply zenon_H19a. apply refl_equal.
% 47.07/47.23 apply zenon_H181. apply refl_equal.
% 47.07/47.23 apply zenon_H181. apply refl_equal.
% 47.07/47.23 (* end of lemma zenon_L277_ *)
% 47.07/47.23 assert (zenon_L278_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (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) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e20) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((e22) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e21) = (e23))) -> (~((e20) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> ((op2 (e20) (e23)) = (e20)) -> (~((e20) = (e21))) -> False).
% 47.07/47.23 do 0 intro. intros zenon_H2d1 zenon_H2e7 zenon_H2d2 zenon_H27d zenon_H262 zenon_H23a zenon_H27a zenon_H2d4 zenon_H1c7 zenon_H2fc zenon_H299 zenon_H216 zenon_H2a0 zenon_H27b zenon_H1aa zenon_H14 zenon_H194 zenon_H1a3 zenon_H2d7 zenon_H1e4 zenon_H2bb zenon_H2f7 zenon_H1b3 zenon_H2eb zenon_H234 zenon_H24b zenon_H2d5 zenon_H251 zenon_H229 zenon_H230 zenon_H265 zenon_H259 zenon_H25f zenon_H271 zenon_H225 zenon_H27c zenon_H28d zenon_H1c4 zenon_H287 zenon_H276 zenon_H1be zenon_H23f zenon_H270 zenon_H185 zenon_H2bd zenon_H2d3 zenon_H193 zenon_H1b0 zenon_H1b9 zenon_H183 zenon_H1cf zenon_H1d3 zenon_H19d zenon_H2ee zenon_H2ec zenon_H2ef zenon_H18d zenon_H2ba zenon_H2e6 zenon_H1df.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H18c | zenon_intro zenon_H2d8 ].
% 47.07/47.23 apply (zenon_L252_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H19b | zenon_intro zenon_H2d9 ].
% 47.07/47.23 apply (zenon_L153_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1ed ].
% 47.07/47.23 apply (zenon_L154_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.23 apply (zenon_L155_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.23 apply (zenon_L156_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H280 ].
% 47.07/47.23 apply (zenon_L155_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H281 ].
% 47.07/47.23 apply (zenon_L158_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H23b | zenon_intro zenon_H257 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.23 apply (zenon_L148_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.23 apply (zenon_L148_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.07/47.23 apply (zenon_L150_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.07/47.23 apply (zenon_L160_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.23 apply (zenon_L145_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.23 apply (zenon_L160_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.23 apply (zenon_L162_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.23 apply (zenon_L163_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.23 apply (zenon_L253_); trivial.
% 47.07/47.23 apply (zenon_L258_); trivial.
% 47.07/47.23 apply (zenon_L167_); trivial.
% 47.07/47.23 apply (zenon_L259_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_L152_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.23 apply (zenon_L206_); trivial.
% 47.07/47.23 apply (zenon_L260_); trivial.
% 47.07/47.23 apply (zenon_L188_); trivial.
% 47.07/47.23 apply (zenon_L261_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.23 apply (zenon_L218_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.23 apply (zenon_L219_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.23 apply (zenon_L148_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.23 apply (zenon_L220_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.23 apply (zenon_L148_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.07/47.23 apply (zenon_L150_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.07/47.23 apply (zenon_L160_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.23 apply (zenon_L145_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.23 apply (zenon_L160_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2e2 ].
% 47.07/47.23 apply (zenon_L220_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2e3 ].
% 47.07/47.23 apply (zenon_L221_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H22e ].
% 47.07/47.23 apply (zenon_L168_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2fd ].
% 47.07/47.23 apply (zenon_L262_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H296 | zenon_intro zenon_H2fe ].
% 47.07/47.23 apply (zenon_L253_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H297 | zenon_intro zenon_H263 ].
% 47.07/47.23 apply (zenon_L263_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.23 apply (zenon_L168_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.23 apply (zenon_L264_); trivial.
% 47.07/47.23 apply (zenon_L265_); trivial.
% 47.07/47.23 apply (zenon_L167_); trivial.
% 47.07/47.23 apply (zenon_L259_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_L152_); trivial.
% 47.07/47.23 apply (zenon_L260_); trivial.
% 47.07/47.23 apply (zenon_L236_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.23 apply (zenon_L266_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.23 apply (zenon_L267_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.23 apply (zenon_L148_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.23 apply (zenon_L148_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.07/47.23 apply (zenon_L150_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.07/47.23 apply (zenon_L160_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.23 apply (zenon_L145_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.23 apply (zenon_L160_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.23 apply (zenon_L162_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.23 apply (zenon_L163_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.23 apply (zenon_L253_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H29f | zenon_intro zenon_H2c2 ].
% 47.07/47.23 apply (zenon_L268_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2c3 ].
% 47.07/47.23 apply (zenon_L163_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H1f9 ].
% 47.07/47.23 apply (zenon_L224_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.23 apply (zenon_L151_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.23 apply (zenon_L168_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1db | zenon_intro zenon_H28e ].
% 47.07/47.23 apply (zenon_L261_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 47.07/47.23 apply (zenon_L209_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23c | zenon_intro zenon_H269 ].
% 47.07/47.23 apply (zenon_L271_); trivial.
% 47.07/47.23 apply (zenon_L273_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H24e | zenon_intro zenon_H2df ].
% 47.07/47.23 apply (zenon_L262_); trivial.
% 47.07/47.23 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H250 | zenon_intro zenon_H2e0 ].
% 47.07/47.23 apply (zenon_L187_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H207 | zenon_intro zenon_H26c ].
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H257 | zenon_intro zenon_H284 ].
% 47.07/47.24 apply (zenon_L188_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H228 | zenon_intro zenon_H285 ].
% 47.07/47.24 apply (zenon_L176_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25a | zenon_intro zenon_H269 ].
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1db | zenon_intro zenon_H28e ].
% 47.07/47.24 apply (zenon_L261_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H286 | zenon_intro zenon_H28f ].
% 47.07/47.24 apply (zenon_L209_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H23c | zenon_intro zenon_H269 ].
% 47.07/47.24 apply (zenon_L271_); trivial.
% 47.07/47.24 apply (zenon_L196_); trivial.
% 47.07/47.24 apply (zenon_L272_); trivial.
% 47.07/47.24 apply (zenon_L274_); trivial.
% 47.07/47.24 apply (zenon_L167_); trivial.
% 47.07/47.24 apply (zenon_L276_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.24 apply (zenon_L151_); trivial.
% 47.07/47.24 apply (zenon_L152_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.24 apply (zenon_L262_); trivial.
% 47.07/47.24 apply (zenon_L260_); trivial.
% 47.07/47.24 apply (zenon_L236_); trivial.
% 47.07/47.24 apply (zenon_L277_); trivial.
% 47.07/47.24 (* end of lemma zenon_L278_ *)
% 47.07/47.24 assert (zenon_L279_ : ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e20)) = (e21)) -> (~((e20) = (e21))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H18c zenon_H1b7 zenon_H1df.
% 47.07/47.24 elim (classic ((e21) = (e21))); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H181 ].
% 47.07/47.24 cut (((e21) = (e21)) = ((e20) = (e21))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H1df.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H1e0.
% 47.07/47.24 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.07/47.24 cut (((e21) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((op2 (e20) (e20)) = (e20)) = ((e21) = (e20))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H1e1.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H18c.
% 47.07/47.24 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.07/47.24 cut (((op2 (e20) (e20)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2ff].
% 47.07/47.24 congruence.
% 47.07/47.24 exact (zenon_H2ff zenon_H1b7).
% 47.07/47.24 apply zenon_H19a. apply refl_equal.
% 47.07/47.24 apply zenon_H181. apply refl_equal.
% 47.07/47.24 apply zenon_H181. apply refl_equal.
% 47.07/47.24 (* end of lemma zenon_L279_ *)
% 47.07/47.24 assert (zenon_L280_ : ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (e10)) = (e11)) -> (~((e10) = (e11))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H23 zenon_H4f zenon_H15b.
% 47.07/47.24 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H15c | zenon_intro zenon_H17 ].
% 47.07/47.24 cut (((e11) = (e11)) = ((e10) = (e11))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H15b.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H15c.
% 47.07/47.24 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.07/47.24 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((op1 (e10) (e10)) = (e10)) = ((e11) = (e10))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H15d.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H23.
% 47.07/47.24 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.07/47.24 cut (((op1 (e10) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H300].
% 47.07/47.24 congruence.
% 47.07/47.24 exact (zenon_H300 zenon_H4f).
% 47.07/47.24 apply zenon_H32. apply refl_equal.
% 47.07/47.24 apply zenon_H17. apply refl_equal.
% 47.07/47.24 apply zenon_H17. apply refl_equal.
% 47.07/47.24 (* end of lemma zenon_L280_ *)
% 47.07/47.24 assert (zenon_L281_ : ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e13)) -> (~((e11) = (e13))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_He1 zenon_H34 zenon_Ha9.
% 47.07/47.24 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.07/47.24 cut (((e13) = (e13)) = ((e11) = (e13))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_Ha9.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H36.
% 47.07/47.24 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.07/47.24 cut (((e13) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((op1 (e11) (e10)) = (e11)) = ((e13) = (e11))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_Haa.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_He1.
% 47.07/47.24 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.07/47.24 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 47.07/47.24 congruence.
% 47.07/47.24 exact (zenon_H39 zenon_H34).
% 47.07/47.24 apply zenon_H17. apply refl_equal.
% 47.07/47.24 apply zenon_H37. apply refl_equal.
% 47.07/47.24 apply zenon_H37. apply refl_equal.
% 47.07/47.24 (* end of lemma zenon_L281_ *)
% 47.07/47.24 assert (zenon_L282_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H48 zenon_H2b zenon_Ha9 zenon_He1 zenon_H3b zenon_H2c zenon_H1c zenon_H42.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.24 apply (zenon_L7_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.24 apply (zenon_L281_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.24 apply (zenon_L10_); trivial.
% 47.07/47.24 apply (zenon_L11_); trivial.
% 47.07/47.24 (* end of lemma zenon_L282_ *)
% 47.07/47.24 assert (zenon_L283_ : ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (e10)) = (e12)) -> (~((e10) = (e12))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H23 zenon_H50 zenon_H5c.
% 47.07/47.24 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.07/47.24 cut (((e12) = (e12)) = ((e10) = (e12))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H5c.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H52.
% 47.07/47.24 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.07/47.24 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((op1 (e10) (e10)) = (e10)) = ((e12) = (e10))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H5d.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H23.
% 47.07/47.24 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.07/47.24 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 47.07/47.24 congruence.
% 47.07/47.24 exact (zenon_H55 zenon_H50).
% 47.07/47.24 apply zenon_H32. apply refl_equal.
% 47.07/47.24 apply zenon_H53. apply refl_equal.
% 47.07/47.24 apply zenon_H53. apply refl_equal.
% 47.07/47.24 (* end of lemma zenon_L283_ *)
% 47.07/47.24 assert (zenon_L284_ : ((op1 (e10) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e12)) -> (~((e11) = (e12))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H141 zenon_H5b zenon_H51.
% 47.07/47.24 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.07/47.24 cut (((e12) = (e12)) = ((e11) = (e12))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H51.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H52.
% 47.07/47.24 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.07/47.24 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((op1 (e10) (e12)) = (e11)) = ((e12) = (e11))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H54.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H141.
% 47.07/47.24 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.07/47.24 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 47.07/47.24 congruence.
% 47.07/47.24 exact (zenon_H5e zenon_H5b).
% 47.07/47.24 apply zenon_H17. apply refl_equal.
% 47.07/47.24 apply zenon_H53. apply refl_equal.
% 47.07/47.24 apply zenon_H53. apply refl_equal.
% 47.07/47.24 (* end of lemma zenon_L284_ *)
% 47.07/47.24 assert (zenon_L285_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e12)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H129 zenon_H19 zenon_H301.
% 47.07/47.24 cut (((e12) = (op1 (e11) (e11))) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H129.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H19.
% 47.07/47.24 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.07/47.24 cut (((e12) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H302].
% 47.07/47.24 congruence.
% 47.07/47.24 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H303 | zenon_intro zenon_He4 ].
% 47.07/47.24 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((e12) = (op1 (e11) (e10)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H302.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H303.
% 47.07/47.24 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 47.07/47.24 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H304].
% 47.07/47.24 congruence.
% 47.07/47.24 exact (zenon_H304 zenon_H301).
% 47.07/47.24 apply zenon_He4. apply refl_equal.
% 47.07/47.24 apply zenon_He4. apply refl_equal.
% 47.07/47.24 apply zenon_H58. apply refl_equal.
% 47.07/47.24 (* end of lemma zenon_L285_ *)
% 47.07/47.24 assert (zenon_L286_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_Hde zenon_H141 zenon_He2.
% 47.07/47.24 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_Hde.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H141.
% 47.07/47.24 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_He3].
% 47.07/47.24 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26].
% 47.07/47.24 congruence.
% 47.07/47.24 apply zenon_H26. apply refl_equal.
% 47.07/47.24 apply zenon_He3. apply sym_equal. exact zenon_He2.
% 47.07/47.24 (* end of lemma zenon_L286_ *)
% 47.07/47.24 assert (zenon_L287_ : ((op1 (e11) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e11)) -> (~((e10) = (e11))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H172 zenon_H175 zenon_H15b.
% 47.07/47.24 elim (classic ((e11) = (e11))); [ zenon_intro zenon_H15c | zenon_intro zenon_H17 ].
% 47.07/47.24 cut (((e11) = (e11)) = ((e10) = (e11))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H15b.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H15c.
% 47.07/47.24 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.07/47.24 cut (((e11) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((op1 (e11) (e13)) = (e10)) = ((e11) = (e10))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H15d.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H172.
% 47.07/47.24 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.07/47.24 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H305].
% 47.07/47.24 congruence.
% 47.07/47.24 exact (zenon_H305 zenon_H175).
% 47.07/47.24 apply zenon_H32. apply refl_equal.
% 47.07/47.24 apply zenon_H17. apply refl_equal.
% 47.07/47.24 apply zenon_H17. apply refl_equal.
% 47.07/47.24 (* end of lemma zenon_L287_ *)
% 47.07/47.24 assert (zenon_L288_ : (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H306 zenon_Hdf zenon_H102.
% 47.07/47.24 cut (((op1 (e11) (e12)) = (e10)) = ((op1 (e11) (e12)) = (op1 (e13) (e12)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H306.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_Hdf.
% 47.07/47.24 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 47.07/47.24 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hc0].
% 47.07/47.24 congruence.
% 47.07/47.24 apply zenon_Hc0. apply refl_equal.
% 47.07/47.24 apply zenon_H103. apply sym_equal. exact zenon_H102.
% 47.07/47.24 (* end of lemma zenon_L288_ *)
% 47.07/47.24 assert (zenon_L289_ : (~((op1 (e12) (e12)) = (op1 (op1 (e13) (e10)) (op1 (e13) (e10))))) -> ((op1 (e13) (e10)) = (e12)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H307 zenon_Hf7.
% 47.07/47.24 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 47.07/47.24 cut (((e12) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 47.07/47.24 congruence.
% 47.07/47.24 apply zenon_H308. apply sym_equal. exact zenon_Hf7.
% 47.07/47.24 apply zenon_H308. apply sym_equal. exact zenon_Hf7.
% 47.07/47.24 (* end of lemma zenon_L289_ *)
% 47.07/47.24 assert (zenon_L290_ : (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (e10))/\(((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e11))/\(((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (e12))/\((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e13) (e12)) = (e13)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H70 zenon_Hf9 zenon_Hf7 zenon_Hc4.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 47.07/47.24 cut (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e13)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_Hf9.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H76.
% 47.07/47.24 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 47.07/47.24 cut (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H309].
% 47.07/47.24 congruence.
% 47.07/47.24 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.07/47.24 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (op1 (e12) (e12)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H309.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H9f.
% 47.07/47.24 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.07/47.24 cut (((op1 (e12) (e12)) = (op1 (op1 (e13) (e10)) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 47.07/47.24 congruence.
% 47.07/47.24 apply (zenon_L289_); trivial.
% 47.07/47.24 apply zenon_Ha0. apply refl_equal.
% 47.07/47.24 apply zenon_Ha0. apply refl_equal.
% 47.07/47.24 apply zenon_Hca. apply sym_equal. exact zenon_Hc4.
% 47.07/47.24 (* end of lemma zenon_L290_ *)
% 47.07/47.24 assert (zenon_L291_ : (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e10))/\(((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e11))/\(((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H9b zenon_H2b zenon_H30a zenon_H34.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 47.07/47.24 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13)) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H2b.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H10a.
% 47.07/47.24 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 47.07/47.24 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30b].
% 47.07/47.24 congruence.
% 47.07/47.24 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 47.07/47.24 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e10) (e10)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H30b.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H2f.
% 47.07/47.24 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 47.07/47.24 cut (((op1 (e10) (e10)) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H30c].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H30d].
% 47.07/47.24 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H30d].
% 47.07/47.24 congruence.
% 47.07/47.24 apply zenon_H30d. apply sym_equal. exact zenon_H30a.
% 47.07/47.24 apply zenon_H30d. apply sym_equal. exact zenon_H30a.
% 47.07/47.24 apply zenon_H30. apply refl_equal.
% 47.07/47.24 apply zenon_H30. apply refl_equal.
% 47.07/47.24 apply zenon_H78. apply sym_equal. exact zenon_H34.
% 47.07/47.24 (* end of lemma zenon_L291_ *)
% 47.07/47.24 assert (zenon_L292_ : ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_Hf7 zenon_Hf9 zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_Ha8 zenon_Hc4 zenon_H2b zenon_H30a zenon_H34.
% 47.07/47.24 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.24 apply (zenon_L290_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.24 apply (zenon_L21_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.24 apply (zenon_L33_); trivial.
% 47.07/47.24 apply (zenon_L291_); trivial.
% 47.07/47.24 (* end of lemma zenon_L292_ *)
% 47.07/47.24 assert (zenon_L293_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H10d zenon_Hdf zenon_H306 zenon_H141 zenon_H119 zenon_Hfa zenon_Hf7 zenon_Hf9 zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_Ha8 zenon_H2b zenon_H30a zenon_H34.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H10e ].
% 47.07/47.24 apply (zenon_L288_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H105 | zenon_intro zenon_H10f ].
% 47.07/47.24 apply (zenon_L97_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hc4 ].
% 47.07/47.24 apply (zenon_L53_); trivial.
% 47.07/47.24 apply (zenon_L292_); trivial.
% 47.07/47.24 (* end of lemma zenon_L293_ *)
% 47.07/47.24 assert (zenon_L294_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H110 zenon_H63 zenon_H19 zenon_H1c zenon_H175 zenon_H174 zenon_H8e zenon_Hb7 zenon_H10d zenon_Hdf zenon_H306 zenon_H141 zenon_H119 zenon_Hfa zenon_Hf7 zenon_Hf9 zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_H2b zenon_H30a zenon_H34.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H62 | zenon_intro zenon_H111 ].
% 47.07/47.24 apply (zenon_L18_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H112 ].
% 47.07/47.24 apply (zenon_L127_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Ha8 ].
% 47.07/47.24 apply (zenon_L30_); trivial.
% 47.07/47.24 apply (zenon_L293_); trivial.
% 47.07/47.24 (* end of lemma zenon_L294_ *)
% 47.07/47.24 assert (zenon_L295_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e10) (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 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((e10) = (e11))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H30e zenon_Ha9 zenon_H149 zenon_H142 zenon_H4b zenon_H130 zenon_H51 zenon_Hed zenon_Hf1 zenon_Hbe zenon_H1c zenon_H2c zenon_H19 zenon_He6 zenon_Hde zenon_H141 zenon_H110 zenon_H63 zenon_H174 zenon_H10d zenon_H306 zenon_H119 zenon_Hf7 zenon_Hf9 zenon_H56 zenon_H5f zenon_Hc5 zenon_H2b zenon_H34 zenon_Hea zenon_H15b zenon_H23 zenon_H16f zenon_H30f zenon_Hb7 zenon_H8e.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H30e); [ zenon_intro zenon_He1 | zenon_intro zenon_H310 ].
% 47.07/47.24 apply (zenon_L281_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H145 | zenon_intro zenon_H311 ].
% 47.07/47.24 apply (zenon_L95_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_He2 | zenon_intro zenon_H175 ].
% 47.07/47.24 apply (zenon_L286_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H14a ].
% 47.07/47.24 apply (zenon_L94_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H14b ].
% 47.07/47.24 apply (zenon_L95_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H147 | zenon_intro zenon_H7d ].
% 47.07/47.24 apply (zenon_L96_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.24 apply (zenon_L50_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.24 apply (zenon_L51_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H13d | zenon_intro zenon_H312 ].
% 47.07/47.24 apply (zenon_L125_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H172 | zenon_intro zenon_H313 ].
% 47.07/47.24 apply (zenon_L287_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H62 | zenon_intro zenon_H30a ].
% 47.07/47.24 apply (zenon_L18_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_Hdf | zenon_intro zenon_Heb ].
% 47.07/47.24 apply (zenon_L294_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_He2 | zenon_intro zenon_Hec ].
% 47.07/47.24 apply (zenon_L286_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_He5 | zenon_intro zenon_Hbd ].
% 47.07/47.24 apply (zenon_L48_); trivial.
% 47.07/47.24 apply (zenon_L32_); trivial.
% 47.07/47.24 apply (zenon_L30_); trivial.
% 47.07/47.24 (* end of lemma zenon_L295_ *)
% 47.07/47.24 assert (zenon_L296_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e11)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H314 zenon_H15a zenon_H7d.
% 47.07/47.24 cut (((op1 (e13) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H314.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H15a.
% 47.07/47.24 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 47.07/47.24 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 47.07/47.24 congruence.
% 47.07/47.24 apply zenon_H44. apply refl_equal.
% 47.07/47.24 apply zenon_H89. apply sym_equal. exact zenon_H7d.
% 47.07/47.24 (* end of lemma zenon_L296_ *)
% 47.07/47.24 assert (zenon_L297_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_Hd0 zenon_H6a zenon_H1c zenon_H15a zenon_H314 zenon_Hb0 zenon_H19 zenon_Hb4 zenon_H5f.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.07/47.24 apply (zenon_L19_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.07/47.24 apply (zenon_L296_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.07/47.24 apply (zenon_L28_); trivial.
% 47.07/47.24 apply (zenon_L29_); trivial.
% 47.07/47.24 (* end of lemma zenon_L297_ *)
% 47.07/47.24 assert (zenon_L298_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (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 (e10) (e13)))) -> (~((e10) = (e11))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (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 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e10) (e12)) = (e11)) -> (~((e12) = (e13))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H162 zenon_H48 zenon_Hb7 zenon_H30f zenon_H16f zenon_H15b zenon_Hea zenon_Hc5 zenon_Hf9 zenon_H119 zenon_H306 zenon_H10d zenon_H174 zenon_H63 zenon_H110 zenon_Hde zenon_He6 zenon_Hbe zenon_Hf1 zenon_H130 zenon_H4b zenon_H142 zenon_H149 zenon_H30e zenon_H3b zenon_H42 zenon_H129 zenon_H315 zenon_H163 zenon_H5c zenon_H23 zenon_H56 zenon_H51 zenon_H164 zenon_H2c zenon_H2b zenon_Hb4 zenon_H19 zenon_Hb0 zenon_H314 zenon_H1c zenon_H6a zenon_Hd0 zenon_Ha9 zenon_H141 zenon_Hd8.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.24 apply (zenon_L280_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.24 apply (zenon_L282_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.24 apply (zenon_L283_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.24 apply (zenon_L15_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.24 apply (zenon_L284_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H50 | zenon_intro zenon_H316 ].
% 47.07/47.24 apply (zenon_L283_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H301 | zenon_intro zenon_H317 ].
% 47.07/47.24 apply (zenon_L285_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_Hee | zenon_intro zenon_Hf7 ].
% 47.07/47.24 apply (zenon_L50_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.24 apply (zenon_L7_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.24 apply (zenon_L7_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.24 apply (zenon_L295_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.24 apply (zenon_L10_); trivial.
% 47.07/47.24 apply (zenon_L11_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.24 apply (zenon_L140_); trivial.
% 47.07/47.24 apply (zenon_L44_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.24 apply (zenon_L283_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.24 apply (zenon_L15_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.24 apply (zenon_L284_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.24 apply (zenon_L7_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.24 apply (zenon_L297_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.24 apply (zenon_L140_); trivial.
% 47.07/47.24 apply (zenon_L44_); trivial.
% 47.07/47.24 (* end of lemma zenon_L298_ *)
% 47.07/47.24 assert (zenon_L299_ : (~((op1 (e13) (e13)) = (op1 (op1 (e11) (e10)) (op1 (e11) (e10))))) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H318 zenon_H34.
% 47.07/47.24 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 47.07/47.24 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 47.07/47.24 congruence.
% 47.07/47.24 apply zenon_H78. apply sym_equal. exact zenon_H34.
% 47.07/47.24 apply zenon_H78. apply sym_equal. exact zenon_H34.
% 47.07/47.24 (* end of lemma zenon_L299_ *)
% 47.07/47.24 assert (zenon_L300_ : (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (e10))/\(((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e11))/\(((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (e12))/\((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H70 zenon_H34 zenon_H14f zenon_H8f.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 47.07/47.24 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.07/47.24 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H8f.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H96.
% 47.07/47.24 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.07/47.24 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e11)) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H98.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H75.
% 47.07/47.24 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H319].
% 47.07/47.24 cut (((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31a].
% 47.07/47.24 congruence.
% 47.07/47.24 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.07/47.24 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (op1 (e13) (e13)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H31a.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H96.
% 47.07/47.24 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.07/47.24 cut (((op1 (e13) (e13)) = (op1 (op1 (e11) (e10)) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H318].
% 47.07/47.24 congruence.
% 47.07/47.24 apply (zenon_L299_); trivial.
% 47.07/47.24 apply zenon_H97. apply refl_equal.
% 47.07/47.24 apply zenon_H97. apply refl_equal.
% 47.07/47.24 apply zenon_H319. apply sym_equal. exact zenon_H14f.
% 47.07/47.24 apply zenon_H97. apply refl_equal.
% 47.07/47.24 apply zenon_H97. apply refl_equal.
% 47.07/47.24 (* end of lemma zenon_L300_ *)
% 47.07/47.24 assert (zenon_L301_ : (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e10))/\(((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e11))/\(((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H9b zenon_H115 zenon_Hb8.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 47.07/47.24 cut (((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e12)) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H115.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H10b.
% 47.07/47.24 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hb9].
% 47.07/47.24 cut (((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H123].
% 47.07/47.24 congruence.
% 47.07/47.24 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.07/47.24 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (op1 (e12) (e12)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H123.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H9f.
% 47.07/47.24 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.07/47.24 cut (((op1 (e12) (e12)) = (op1 (op1 (e12) (e13)) (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H122].
% 47.07/47.24 congruence.
% 47.07/47.24 apply (zenon_L75_); trivial.
% 47.07/47.24 apply zenon_Ha0. apply refl_equal.
% 47.07/47.24 apply zenon_Ha0. apply refl_equal.
% 47.07/47.24 apply zenon_Hb9. apply sym_equal. exact zenon_Hb8.
% 47.07/47.24 (* end of lemma zenon_L301_ *)
% 47.07/47.24 assert (zenon_L302_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_Hac zenon_H3b zenon_H2c zenon_H1b zenon_H19 zenon_Hb4 zenon_H1c zenon_Hd4 zenon_H115 zenon_Hc5 zenon_H7d zenon_H5f zenon_H56 zenon_H34 zenon_H14f zenon_H8f zenon_Hb8 zenon_Hd8.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.24 apply (zenon_L10_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.24 apply (zenon_L41_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.24 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.24 apply (zenon_L300_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.24 apply (zenon_L21_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.24 apply (zenon_L74_); trivial.
% 47.07/47.24 apply (zenon_L301_); trivial.
% 47.07/47.24 apply (zenon_L84_); trivial.
% 47.07/47.24 (* end of lemma zenon_L302_ *)
% 47.07/47.24 assert (zenon_L303_ : (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((e12) = (e13))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H149 zenon_H150 zenon_H4b zenon_H130 zenon_H51 zenon_Hed zenon_Hf1 zenon_H5b zenon_H9c zenon_Hac zenon_H3b zenon_H2c zenon_H1b zenon_H19 zenon_Hb4 zenon_H1c zenon_Hd4 zenon_H115 zenon_Hc5 zenon_H5f zenon_H56 zenon_H34 zenon_H14f zenon_H8f zenon_Hd8.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H14a ].
% 47.07/47.24 apply (zenon_L105_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H145 | zenon_intro zenon_H14b ].
% 47.07/47.24 apply (zenon_L95_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H147 | zenon_intro zenon_H7d ].
% 47.07/47.24 apply (zenon_L96_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.24 apply (zenon_L50_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.24 apply (zenon_L51_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.24 apply (zenon_L137_); trivial.
% 47.07/47.24 apply (zenon_L302_); trivial.
% 47.07/47.24 (* end of lemma zenon_L303_ *)
% 47.07/47.24 assert (zenon_L304_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H48 zenon_H2b zenon_Hd8 zenon_H8f zenon_H14f zenon_H56 zenon_H5f zenon_Hc5 zenon_H115 zenon_Hd4 zenon_Hb4 zenon_H19 zenon_H1b zenon_Hac zenon_H9c zenon_H5b zenon_Hf1 zenon_Hed zenon_H51 zenon_H130 zenon_H4b zenon_H150 zenon_H149 zenon_H3b zenon_H2c zenon_H1c zenon_H42.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.24 apply (zenon_L7_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.24 apply (zenon_L303_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.24 apply (zenon_L10_); trivial.
% 47.07/47.24 apply (zenon_L11_); trivial.
% 47.07/47.24 (* end of lemma zenon_L304_ *)
% 47.07/47.24 assert (zenon_L305_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e11) = (e13))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e10) (e13)) = (e11)) -> (~((e11) = (e12))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H163 zenon_H5c zenon_H23 zenon_Ha9 zenon_Hd8 zenon_H48 zenon_H2b zenon_H8f zenon_H56 zenon_Hc5 zenon_H115 zenon_Hd4 zenon_Hb4 zenon_H19 zenon_H1b zenon_Hac zenon_H9c zenon_Hf1 zenon_Hed zenon_H130 zenon_H4b zenon_H150 zenon_H149 zenon_H3b zenon_H2c zenon_H1c zenon_H42 zenon_H164 zenon_H14f zenon_H51.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.24 apply (zenon_L283_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.24 apply (zenon_L15_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.24 apply (zenon_L7_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.24 apply (zenon_L304_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.24 apply (zenon_L133_); trivial.
% 47.07/47.24 apply (zenon_L123_); trivial.
% 47.07/47.24 apply (zenon_L122_); trivial.
% 47.07/47.24 (* end of lemma zenon_L305_ *)
% 47.07/47.24 assert (zenon_L306_ : (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> (~((e11) = (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H162 zenon_H15b zenon_H51 zenon_H164 zenon_H42 zenon_H2c zenon_H3b zenon_H149 zenon_H4b zenon_H130 zenon_Hf1 zenon_H9c zenon_Hac zenon_H115 zenon_Hc5 zenon_H8f zenon_H2b zenon_H48 zenon_Hd8 zenon_Ha9 zenon_H23 zenon_H5c zenon_H163 zenon_Hd4 zenon_H1b zenon_H150 zenon_H14f zenon_H56 zenon_Hd0 zenon_H6a zenon_H1c zenon_H314 zenon_Hb0 zenon_H19 zenon_Hb4.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.24 apply (zenon_L280_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.24 apply (zenon_L282_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.24 apply (zenon_L305_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hd5 ].
% 47.07/47.24 apply (zenon_L4_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd6 ].
% 47.07/47.24 apply (zenon_L105_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H57 | zenon_intro zenon_H5f ].
% 47.07/47.24 apply (zenon_L15_); trivial.
% 47.07/47.24 apply (zenon_L297_); trivial.
% 47.07/47.24 (* end of lemma zenon_L306_ *)
% 47.07/47.24 assert (zenon_L307_ : ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e20)) = (e22)) -> (~((e20) = (e22))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H18c zenon_H1b8 zenon_H1c4.
% 47.07/47.24 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.07/47.24 cut (((e22) = (e22)) = ((e20) = (e22))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H1c4.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H1ba.
% 47.07/47.24 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.07/47.24 cut (((e22) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1c5].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((op2 (e20) (e20)) = (e20)) = ((e22) = (e20))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H1c5.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H18c.
% 47.07/47.24 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 47.07/47.24 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 47.07/47.24 congruence.
% 47.07/47.24 exact (zenon_H1bd zenon_H1b8).
% 47.07/47.24 apply zenon_H19a. apply refl_equal.
% 47.07/47.24 apply zenon_H1bb. apply refl_equal.
% 47.07/47.24 apply zenon_H1bb. apply refl_equal.
% 47.07/47.24 (* end of lemma zenon_L307_ *)
% 47.07/47.24 assert (zenon_L308_ : ((op2 (e20) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e22)) -> (~((e21) = (e22))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H2cf zenon_H1c3 zenon_H1b9.
% 47.07/47.24 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.07/47.24 cut (((e22) = (e22)) = ((e21) = (e22))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H1b9.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H1ba.
% 47.07/47.24 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.07/47.24 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((op2 (e20) (e22)) = (e21)) = ((e22) = (e21))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H1bc.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H2cf.
% 47.07/47.24 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.07/47.24 cut (((op2 (e20) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1c6].
% 47.07/47.24 congruence.
% 47.07/47.24 exact (zenon_H1c6 zenon_H1c3).
% 47.07/47.24 apply zenon_H181. apply refl_equal.
% 47.07/47.24 apply zenon_H1bb. apply refl_equal.
% 47.07/47.24 apply zenon_H1bb. apply refl_equal.
% 47.07/47.24 (* end of lemma zenon_L308_ *)
% 47.07/47.24 assert (zenon_L309_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H25c zenon_H1db zenon_H23c.
% 47.07/47.24 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H25c.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H1db.
% 47.07/47.24 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 47.07/47.24 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25e].
% 47.07/47.24 congruence.
% 47.07/47.24 apply zenon_H25e. apply refl_equal.
% 47.07/47.24 apply zenon_H23d. apply sym_equal. exact zenon_H23c.
% 47.07/47.24 (* end of lemma zenon_L309_ *)
% 47.07/47.24 assert (zenon_L310_ : (~((op2 (e22) (e22)) = (op2 (op2 (e23) (e20)) (op2 (e23) (e20))))) -> ((op2 (e23) (e20)) = (e22)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H31b zenon_H257.
% 47.07/47.24 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H31c].
% 47.07/47.24 cut (((e22) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H31c].
% 47.07/47.24 congruence.
% 47.07/47.24 apply zenon_H31c. apply sym_equal. exact zenon_H257.
% 47.07/47.24 apply zenon_H31c. apply sym_equal. exact zenon_H257.
% 47.07/47.24 (* end of lemma zenon_L310_ *)
% 47.07/47.24 assert (zenon_L311_ : (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (e20))/\(((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (e21))/\(((op2 (op2 (e22) (e20)) (op2 (e22) (e20))) = (e22))/\((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H1ec zenon_H265 zenon_H257 zenon_H223.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1f3. zenon_intro zenon_H1f2.
% 47.07/47.24 cut (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e23)) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H265.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H1f2.
% 47.07/47.24 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H241].
% 47.07/47.24 cut (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H31d].
% 47.07/47.24 congruence.
% 47.07/47.24 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.07/47.24 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (op2 (e22) (e22)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H31d.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H21c.
% 47.07/47.24 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.07/47.24 cut (((op2 (e22) (e22)) = (op2 (op2 (e23) (e20)) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 47.07/47.24 congruence.
% 47.07/47.24 apply (zenon_L310_); trivial.
% 47.07/47.24 apply zenon_H21d. apply refl_equal.
% 47.07/47.24 apply zenon_H21d. apply refl_equal.
% 47.07/47.24 apply zenon_H241. apply sym_equal. exact zenon_H223.
% 47.07/47.24 (* end of lemma zenon_L311_ *)
% 47.07/47.24 assert (zenon_L312_ : (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e20))/\(((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e21))/\(((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e22))/\((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H219 zenon_H193 zenon_H31e zenon_H19c.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21b. zenon_intro zenon_H21a.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H245. zenon_intro zenon_H244.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 47.07/47.24 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23)) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H193.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H246.
% 47.07/47.24 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 47.07/47.24 cut (((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H31f].
% 47.07/47.24 congruence.
% 47.07/47.24 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H197 | zenon_intro zenon_H198 ].
% 47.07/47.24 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (op2 (e20) (e20)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H31f.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H197.
% 47.07/47.24 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 47.07/47.24 cut (((op2 (e20) (e20)) = (op2 (op2 (e23) (e23)) (op2 (e23) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H320].
% 47.07/47.24 congruence.
% 47.07/47.24 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H321].
% 47.07/47.24 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H321].
% 47.07/47.24 congruence.
% 47.07/47.24 apply zenon_H321. apply sym_equal. exact zenon_H31e.
% 47.07/47.24 apply zenon_H321. apply sym_equal. exact zenon_H31e.
% 47.07/47.24 apply zenon_H198. apply refl_equal.
% 47.07/47.24 apply zenon_H198. apply refl_equal.
% 47.07/47.24 apply zenon_H1f4. apply sym_equal. exact zenon_H19c.
% 47.07/47.24 (* end of lemma zenon_L312_ *)
% 47.07/47.24 assert (zenon_L313_ : ((op2 (e22) (e23)) = (e23)) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H223 zenon_H257 zenon_H265 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H20a zenon_H1db zenon_H207 zenon_H193 zenon_H31e zenon_H19c.
% 47.07/47.24 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.07/47.24 apply (zenon_L311_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.07/47.24 apply (zenon_L170_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.07/47.24 apply (zenon_L172_); trivial.
% 47.07/47.24 apply (zenon_L312_); trivial.
% 47.07/47.24 (* end of lemma zenon_L313_ *)
% 47.07/47.24 assert (zenon_L314_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e22) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H24b zenon_H234 zenon_H1a3 zenon_H14 zenon_H194 zenon_H299 zenon_H29a zenon_H23a zenon_H1b3 zenon_H183 zenon_H2b5 zenon_H25c zenon_H257 zenon_H265 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H20a zenon_H1db zenon_H207 zenon_H193 zenon_H31e zenon_H19c.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H233 | zenon_intro zenon_H24c ].
% 47.07/47.24 apply (zenon_L179_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H222 | zenon_intro zenon_H24d ].
% 47.07/47.24 apply (zenon_L234_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23c | zenon_intro zenon_H223 ].
% 47.07/47.24 apply (zenon_L309_); trivial.
% 47.07/47.24 apply (zenon_L313_); trivial.
% 47.07/47.24 (* end of lemma zenon_L314_ *)
% 47.07/47.24 assert (zenon_L315_ : ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H257 zenon_H270 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H223 zenon_H26c zenon_H193 zenon_H31e zenon_H19c.
% 47.07/47.24 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 47.07/47.24 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1f3. zenon_intro zenon_H1f2.
% 47.07/47.24 cut (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e23)) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H270.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H1f2.
% 47.07/47.24 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H26f].
% 47.07/47.24 cut (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H31d].
% 47.07/47.24 congruence.
% 47.07/47.24 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.07/47.24 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (op2 (e22) (e22)))).
% 47.07/47.24 intro zenon_D_pnotp.
% 47.07/47.24 apply zenon_H31d.
% 47.07/47.24 rewrite <- zenon_D_pnotp.
% 47.07/47.24 exact zenon_H21c.
% 47.07/47.24 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.07/47.24 cut (((op2 (e22) (e22)) = (op2 (op2 (e23) (e20)) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 47.07/47.24 congruence.
% 47.07/47.24 apply (zenon_L310_); trivial.
% 47.07/47.24 apply zenon_H21d. apply refl_equal.
% 47.07/47.24 apply zenon_H21d. apply refl_equal.
% 47.07/47.24 apply zenon_H26f. apply sym_equal. exact zenon_H26c.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.07/47.24 apply (zenon_L170_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.07/47.24 apply (zenon_L197_); trivial.
% 47.07/47.24 apply (zenon_L312_); trivial.
% 47.07/47.24 (* end of lemma zenon_L315_ *)
% 47.07/47.24 assert (zenon_L316_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H322 zenon_H1c4 zenon_H1db zenon_H1df zenon_H1de zenon_H234 zenon_H183 zenon_H14 zenon_H257 zenon_H270 zenon_H1be zenon_H1d7 zenon_H1f9 zenon_H23f zenon_H223 zenon_H26c zenon_H193 zenon_H19c.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H323 ].
% 47.07/47.24 apply (zenon_L261_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1dd | zenon_intro zenon_H324 ].
% 47.07/47.24 apply (zenon_L166_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H233 | zenon_intro zenon_H31e ].
% 47.07/47.24 apply (zenon_L179_); trivial.
% 47.07/47.24 apply (zenon_L315_); trivial.
% 47.07/47.24 (* end of lemma zenon_L316_ *)
% 47.07/47.24 assert (zenon_L317_ : ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e22))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (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))))) -> (~((e20) = (e23))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e22))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((e20) = (e21))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((e22) = (e23))) -> False).
% 47.07/47.24 do 0 intro. intros zenon_H18c zenon_H1aa zenon_H14 zenon_H194 zenon_H1a3 zenon_H1e4 zenon_H2bc zenon_H2a8 zenon_H2ab zenon_H23f zenon_H1be zenon_H270 zenon_H234 zenon_H1c4 zenon_H322 zenon_H265 zenon_H20a zenon_H251 zenon_H2d5 zenon_H2ba zenon_H18d zenon_H2ef zenon_H2ec zenon_H2ee zenon_H19d zenon_H2bd zenon_H185 zenon_H287 zenon_H28d zenon_H27c zenon_H225 zenon_H271 zenon_H25f zenon_H259 zenon_H230 zenon_H229 zenon_H2eb zenon_H2f7 zenon_H2bb zenon_H2d7 zenon_H27b zenon_H2a0 zenon_H216 zenon_H2fc zenon_H1c7 zenon_H2d4 zenon_H27a zenon_H262 zenon_H27d zenon_H2d2 zenon_H2e7 zenon_H2d1 zenon_H24b zenon_H299 zenon_H23a zenon_H1b3 zenon_H2b5 zenon_H25c zenon_H2d3 zenon_H193 zenon_H1b0 zenon_H1b9 zenon_H183 zenon_H1cf zenon_H1df zenon_H1d3 zenon_H2cf zenon_H276.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.24 apply (zenon_L307_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.24 apply (zenon_L156_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.24 apply (zenon_L308_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H280 ].
% 47.07/47.24 apply (zenon_L307_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H281 ].
% 47.07/47.24 apply (zenon_L158_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H23b | zenon_intro zenon_H257 ].
% 47.07/47.24 apply (zenon_L222_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.24 apply (zenon_L148_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.24 apply (zenon_L148_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.07/47.24 apply (zenon_L150_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.07/47.24 apply (zenon_L160_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.24 apply (zenon_L145_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.24 apply (zenon_L160_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.24 apply (zenon_L162_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.24 apply (zenon_L163_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.24 apply (zenon_L253_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H29f | zenon_intro zenon_H2c2 ].
% 47.07/47.24 apply (zenon_L220_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2c3 ].
% 47.07/47.24 apply (zenon_L163_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H1f9 ].
% 47.07/47.24 apply (zenon_L224_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H23b | zenon_intro zenon_H2c4 ].
% 47.07/47.24 apply (zenon_L222_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2c5 ].
% 47.07/47.24 apply (zenon_L223_); trivial.
% 47.07/47.24 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H29a | zenon_intro zenon_H23c ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.25 apply (zenon_L151_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.25 apply (zenon_L168_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H323 ].
% 47.07/47.25 apply (zenon_L278_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1dd | zenon_intro zenon_H324 ].
% 47.07/47.25 apply (zenon_L276_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H233 | zenon_intro zenon_H31e ].
% 47.07/47.25 apply (zenon_L179_); trivial.
% 47.07/47.25 apply (zenon_L314_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H24e | zenon_intro zenon_H2df ].
% 47.07/47.25 apply (zenon_L262_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H250 | zenon_intro zenon_H2e0 ].
% 47.07/47.25 apply (zenon_L187_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H207 | zenon_intro zenon_H26c ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H323 ].
% 47.07/47.25 apply (zenon_L261_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1dd | zenon_intro zenon_H324 ].
% 47.07/47.25 apply (zenon_L166_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H233 | zenon_intro zenon_H31e ].
% 47.07/47.25 apply (zenon_L179_); trivial.
% 47.07/47.25 apply (zenon_L313_); trivial.
% 47.07/47.25 apply (zenon_L316_); trivial.
% 47.07/47.25 apply (zenon_L309_); trivial.
% 47.07/47.25 apply (zenon_L167_); trivial.
% 47.07/47.25 apply (zenon_L276_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.25 apply (zenon_L151_); trivial.
% 47.07/47.25 apply (zenon_L152_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.25 apply (zenon_L262_); trivial.
% 47.07/47.25 apply (zenon_L217_); trivial.
% 47.07/47.25 (* end of lemma zenon_L317_ *)
% 47.07/47.25 assert (zenon_L318_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H325 zenon_H2b8 zenon_H1f9.
% 47.07/47.25 cut (((op2 (e23) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H325.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H2b8.
% 47.07/47.25 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H205].
% 47.07/47.25 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H1ac. apply refl_equal.
% 47.07/47.25 apply zenon_H205. apply sym_equal. exact zenon_H1f9.
% 47.07/47.25 (* end of lemma zenon_L318_ *)
% 47.07/47.25 assert (zenon_L319_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e21)) = (e23)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H230 zenon_H1e4 zenon_H14 zenon_H2b8 zenon_H325 zenon_H229 zenon_H183 zenon_H22d zenon_H1d7.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H231 ].
% 47.07/47.25 apply (zenon_L167_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H232 ].
% 47.07/47.25 apply (zenon_L318_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H22e ].
% 47.07/47.25 apply (zenon_L176_); trivial.
% 47.07/47.25 apply (zenon_L177_); trivial.
% 47.07/47.25 (* end of lemma zenon_L319_ *)
% 47.07/47.25 assert (zenon_L320_ : (~((e20) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((e20) = (e23))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> ((op2 (e20) (e22)) = (e21)) -> (~((e22) = (e23))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H1df zenon_H1cf zenon_H1b0 zenon_H2d3 zenon_H25c zenon_H2b5 zenon_H1b3 zenon_H23a zenon_H299 zenon_H24b zenon_H2d1 zenon_H2e7 zenon_H2d2 zenon_H27d zenon_H262 zenon_H2d4 zenon_H1c7 zenon_H2fc zenon_H216 zenon_H2a0 zenon_H2d7 zenon_H2bb zenon_H2f7 zenon_H2eb zenon_H259 zenon_H25f zenon_H271 zenon_H225 zenon_H27c zenon_H28d zenon_H287 zenon_H185 zenon_H2bd zenon_H19d zenon_H2ee zenon_H2ec zenon_H2ef zenon_H18d zenon_H2ba zenon_H2d5 zenon_H251 zenon_H20a zenon_H265 zenon_H322 zenon_H234 zenon_H270 zenon_H23f zenon_H2ab zenon_H2bc zenon_H1a3 zenon_H1aa zenon_H27a zenon_H1c4 zenon_H18c zenon_H1be zenon_H1b9 zenon_H27b zenon_H194 zenon_H193 zenon_H22d zenon_H183 zenon_H229 zenon_H325 zenon_H14 zenon_H1e4 zenon_H230 zenon_H1d3 zenon_H2cf zenon_H276.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.25 apply (zenon_L279_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.25 apply (zenon_L219_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.25 apply (zenon_L317_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.25 apply (zenon_L307_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.25 apply (zenon_L156_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.25 apply (zenon_L308_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.25 apply (zenon_L148_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.25 apply (zenon_L319_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.25 apply (zenon_L262_); trivial.
% 47.07/47.25 apply (zenon_L217_); trivial.
% 47.07/47.25 (* end of lemma zenon_L320_ *)
% 47.07/47.25 assert (zenon_L321_ : (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H216 zenon_H1c3 zenon_H29a.
% 47.07/47.25 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e22) (e22)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H216.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H1c3.
% 47.07/47.25 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H29b].
% 47.07/47.25 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H18f].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H18f. apply refl_equal.
% 47.07/47.25 apply zenon_H29b. apply sym_equal. exact zenon_H29a.
% 47.07/47.25 (* end of lemma zenon_L321_ *)
% 47.07/47.25 assert (zenon_L322_ : (~((op2 (e23) (e23)) = (op2 (op2 (e21) (e20)) (op2 (e21) (e20))))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H326 zenon_H19c.
% 47.07/47.25 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 47.07/47.25 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H1f4. apply sym_equal. exact zenon_H19c.
% 47.07/47.25 apply zenon_H1f4. apply sym_equal. exact zenon_H19c.
% 47.07/47.25 (* end of lemma zenon_L322_ *)
% 47.07/47.25 assert (zenon_L323_ : (((op2 (op2 (e20) (e23)) (op2 (e20) (e23))) = (e20))/\(((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e21))/\(((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e22))/\((op2 (op2 (e23) (e23)) (op2 (e23) (e23))) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H219 zenon_H265 zenon_H23c.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21b. zenon_intro zenon_H21a.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H245. zenon_intro zenon_H244.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 47.07/47.25 cut (((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (e22)) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H265.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H247.
% 47.07/47.25 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H23d].
% 47.07/47.25 cut (((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2b4].
% 47.07/47.25 congruence.
% 47.07/47.25 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H21c | zenon_intro zenon_H21d ].
% 47.07/47.25 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (op2 (e22) (e23)) (op2 (e22) (e23))) = (op2 (e22) (e22)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H2b4.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H21c.
% 47.07/47.25 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H21d].
% 47.07/47.25 cut (((op2 (e22) (e22)) = (op2 (op2 (e22) (e23)) (op2 (e22) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H2b3].
% 47.07/47.25 congruence.
% 47.07/47.25 apply (zenon_L226_); trivial.
% 47.07/47.25 apply zenon_H21d. apply refl_equal.
% 47.07/47.25 apply zenon_H21d. apply refl_equal.
% 47.07/47.25 apply zenon_H23d. apply sym_equal. exact zenon_H23c.
% 47.07/47.25 (* end of lemma zenon_L323_ *)
% 47.07/47.25 assert (zenon_L324_ : (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (~((e22) = (e23))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e20) (e23)) = (e21)) -> (~((e21) = (e22))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H2ba zenon_H1df zenon_H1aa zenon_H1a3 zenon_H2bd zenon_H185 zenon_H20a zenon_H23f zenon_H265 zenon_H19d zenon_H225 zenon_H216 zenon_H2ab zenon_H2bc zenon_H1b3 zenon_H2bb zenon_H1b0 zenon_H27a zenon_H1c4 zenon_H18c zenon_H1be zenon_H1d3 zenon_H276 zenon_H230 zenon_H1e4 zenon_H14 zenon_H325 zenon_H229 zenon_H183 zenon_H22d zenon_H193 zenon_H194 zenon_H27b zenon_H1da zenon_H1b9.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.25 apply (zenon_L279_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.25 apply (zenon_L219_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.25 apply (zenon_L307_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.25 apply (zenon_L156_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.25 apply (zenon_L148_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.25 apply (zenon_L148_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.25 apply (zenon_L145_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.25 apply (zenon_L160_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H29f | zenon_intro zenon_H2c2 ].
% 47.07/47.25 apply (zenon_L220_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2c3 ].
% 47.07/47.25 apply (zenon_L163_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H1f9 ].
% 47.07/47.25 apply (zenon_L224_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H23b | zenon_intro zenon_H2c4 ].
% 47.07/47.25 apply (zenon_L222_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2c5 ].
% 47.07/47.25 apply (zenon_L223_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H29a | zenon_intro zenon_H23c ].
% 47.07/47.25 apply (zenon_L321_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.25 apply (zenon_L151_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.25 apply (zenon_L168_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.25 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 47.07/47.25 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.07/47.25 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H20a.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H211.
% 47.07/47.25 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.07/47.25 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H213].
% 47.07/47.25 congruence.
% 47.07/47.25 cut (((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (e21)) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H213.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H1f1.
% 47.07/47.25 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H327].
% 47.07/47.25 cut (((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H328].
% 47.07/47.25 congruence.
% 47.07/47.25 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.07/47.25 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (op2 (e23) (e23)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H328.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H211.
% 47.07/47.25 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.07/47.25 cut (((op2 (e23) (e23)) = (op2 (op2 (e21) (e20)) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H326].
% 47.07/47.25 congruence.
% 47.07/47.25 apply (zenon_L322_); trivial.
% 47.07/47.25 apply zenon_H212. apply refl_equal.
% 47.07/47.25 apply zenon_H212. apply refl_equal.
% 47.07/47.25 apply zenon_H327. apply sym_equal. exact zenon_H1da.
% 47.07/47.25 apply zenon_H212. apply refl_equal.
% 47.07/47.25 apply zenon_H212. apply refl_equal.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.07/47.25 apply (zenon_L170_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.07/47.25 apply (zenon_L225_); trivial.
% 47.07/47.25 apply (zenon_L323_); trivial.
% 47.07/47.25 apply (zenon_L210_); trivial.
% 47.07/47.25 apply (zenon_L167_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.25 apply (zenon_L151_); trivial.
% 47.07/47.25 apply (zenon_L152_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.25 apply (zenon_L206_); trivial.
% 47.07/47.25 apply (zenon_L207_); trivial.
% 47.07/47.25 apply (zenon_L165_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.25 apply (zenon_L307_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.25 apply (zenon_L156_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.25 apply (zenon_L148_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.25 apply (zenon_L319_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.25 apply (zenon_L206_); trivial.
% 47.07/47.25 apply (zenon_L207_); trivial.
% 47.07/47.25 apply (zenon_L165_); trivial.
% 47.07/47.25 (* end of lemma zenon_L324_ *)
% 47.07/47.25 assert (zenon_L325_ : (~((h2 (e12)) = (e22))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H329 zenon_H32a zenon_H183.
% 47.07/47.25 cut (((h2 (e12)) = (op2 (e21) (e21))) = ((h2 (e12)) = (e22))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H329.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H32a.
% 47.07/47.25 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 47.07/47.25 cut (((h2 (e12)) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32b].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H32b. apply refl_equal.
% 47.07/47.25 apply zenon_H184. apply sym_equal. exact zenon_H183.
% 47.07/47.25 (* end of lemma zenon_L325_ *)
% 47.07/47.25 assert (zenon_L326_ : ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e10)) -> (~((e10) = (e12))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H19 zenon_H32c zenon_H5c.
% 47.07/47.25 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.07/47.25 cut (((e12) = (e12)) = ((e10) = (e12))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H5c.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H52.
% 47.07/47.25 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.07/47.25 cut (((e12) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 47.07/47.25 congruence.
% 47.07/47.25 cut (((e12) = (op1 (e11) (e11))) = ((e12) = (e10))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H5d.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H19.
% 47.07/47.25 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32d].
% 47.07/47.25 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H53. apply refl_equal.
% 47.07/47.25 exact (zenon_H32d zenon_H32c).
% 47.07/47.25 apply zenon_H53. apply refl_equal.
% 47.07/47.25 apply zenon_H53. apply refl_equal.
% 47.07/47.25 (* end of lemma zenon_L326_ *)
% 47.07/47.25 assert (zenon_L327_ : ((op1 (e12) (e11)) = (e10)) -> ((op1 (e12) (e11)) = (e13)) -> (~((e10) = (e13))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H32e zenon_H60 zenon_H35.
% 47.07/47.25 elim (classic ((e13) = (e13))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 47.07/47.25 cut (((e13) = (e13)) = ((e10) = (e13))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H35.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H36.
% 47.07/47.25 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 47.07/47.25 cut (((e13) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 47.07/47.25 congruence.
% 47.07/47.25 cut (((op1 (e12) (e11)) = (e10)) = ((e13) = (e10))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H38.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H32e.
% 47.07/47.25 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 47.07/47.25 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H32f].
% 47.07/47.25 congruence.
% 47.07/47.25 exact (zenon_H32f zenon_H60).
% 47.07/47.25 apply zenon_H32. apply refl_equal.
% 47.07/47.25 apply zenon_H37. apply refl_equal.
% 47.07/47.25 apply zenon_H37. apply refl_equal.
% 47.07/47.25 (* end of lemma zenon_L327_ *)
% 47.07/47.25 assert (zenon_L328_ : ((op1 (e13) (e10)) = (e11)) -> ((op1 (e13) (e10)) = (e12)) -> (~((e11) = (e12))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H15a zenon_Hf7 zenon_H51.
% 47.07/47.25 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H52 | zenon_intro zenon_H53 ].
% 47.07/47.25 cut (((e12) = (e12)) = ((e11) = (e12))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H51.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H52.
% 47.07/47.25 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 47.07/47.25 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 47.07/47.25 congruence.
% 47.07/47.25 cut (((op1 (e13) (e10)) = (e11)) = ((e12) = (e11))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H54.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H15a.
% 47.07/47.25 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H17].
% 47.07/47.25 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 47.07/47.25 congruence.
% 47.07/47.25 exact (zenon_Hf8 zenon_Hf7).
% 47.07/47.25 apply zenon_H17. apply refl_equal.
% 47.07/47.25 apply zenon_H53. apply refl_equal.
% 47.07/47.25 apply zenon_H53. apply refl_equal.
% 47.07/47.25 (* end of lemma zenon_L328_ *)
% 47.07/47.25 assert (zenon_L329_ : (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (e10))/\(((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e11))/\(((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (e12))/\((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H70 zenon_Hb0 zenon_H15a zenon_Hb5.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 47.07/47.25 cut (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e13)) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_Hb0.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H76.
% 47.07/47.25 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 47.07/47.25 cut (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H330].
% 47.07/47.25 congruence.
% 47.07/47.25 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H84 | zenon_intro zenon_H58 ].
% 47.07/47.25 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (op1 (e11) (e11)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H330.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H84.
% 47.07/47.25 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.07/47.25 cut (((op1 (e11) (e11)) = (op1 (op1 (e13) (e10)) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H331].
% 47.07/47.25 congruence.
% 47.07/47.25 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H332].
% 47.07/47.25 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H332].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H332. apply sym_equal. exact zenon_H15a.
% 47.07/47.25 apply zenon_H332. apply sym_equal. exact zenon_H15a.
% 47.07/47.25 apply zenon_H58. apply refl_equal.
% 47.07/47.25 apply zenon_H58. apply refl_equal.
% 47.07/47.25 apply zenon_Hb6. apply sym_equal. exact zenon_Hb5.
% 47.07/47.25 (* end of lemma zenon_L329_ *)
% 47.07/47.25 assert (zenon_L330_ : (((op1 (op1 (e10) (e12)) (op1 (e10) (e12))) = (e10))/\(((op1 (op1 (e11) (e12)) (op1 (e11) (e12))) = (e11))/\(((op1 (op1 (e12) (e12)) (op1 (e12) (e12))) = (e12))/\((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H8d zenon_H2b zenon_H102 zenon_H34.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H95. zenon_intro zenon_H94.
% 47.07/47.25 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e13)) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H2b.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H94.
% 47.07/47.25 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H78].
% 47.07/47.25 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H333].
% 47.07/47.25 congruence.
% 47.07/47.25 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 47.07/47.25 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e10) (e10)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H333.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H2f.
% 47.07/47.25 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 47.07/47.25 cut (((op1 (e10) (e10)) = (op1 (op1 (e13) (e12)) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H334].
% 47.07/47.25 congruence.
% 47.07/47.25 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 47.07/47.25 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H103].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H103. apply sym_equal. exact zenon_H102.
% 47.07/47.25 apply zenon_H103. apply sym_equal. exact zenon_H102.
% 47.07/47.25 apply zenon_H30. apply refl_equal.
% 47.07/47.25 apply zenon_H30. apply refl_equal.
% 47.07/47.25 apply zenon_H78. apply sym_equal. exact zenon_H34.
% 47.07/47.25 (* end of lemma zenon_L330_ *)
% 47.07/47.25 assert (zenon_L331_ : (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_Hb0 zenon_H8f zenon_Hd7 zenon_Hb5 zenon_H34 zenon_H102 zenon_H2b zenon_H335 zenon_H172 zenon_H15a.
% 47.07/47.25 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.25 apply (zenon_L329_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.25 apply (zenon_L82_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.25 apply (zenon_L330_); trivial.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 47.07/47.25 cut (((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e11)) = ((op1 (e10) (e10)) = (op1 (e13) (e10)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H335.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H109.
% 47.07/47.25 cut (((e11) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H332].
% 47.07/47.25 cut (((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H336].
% 47.07/47.25 congruence.
% 47.07/47.25 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ].
% 47.07/47.25 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (op1 (e10) (e10)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H336.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H2f.
% 47.07/47.25 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 47.07/47.25 cut (((op1 (e10) (e10)) = (op1 (op1 (e11) (e13)) (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H337].
% 47.07/47.25 congruence.
% 47.07/47.25 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H173].
% 47.07/47.25 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H173].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H173. apply sym_equal. exact zenon_H172.
% 47.07/47.25 apply zenon_H173. apply sym_equal. exact zenon_H172.
% 47.07/47.25 apply zenon_H30. apply refl_equal.
% 47.07/47.25 apply zenon_H30. apply refl_equal.
% 47.07/47.25 apply zenon_H332. apply sym_equal. exact zenon_H15a.
% 47.07/47.25 (* end of lemma zenon_L331_ *)
% 47.07/47.25 assert (zenon_L332_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e10)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H338 zenon_H172 zenon_H30a.
% 47.07/47.25 cut (((op1 (e11) (e13)) = (e10)) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H338.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H172.
% 47.07/47.25 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H30d].
% 47.07/47.25 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H139. apply refl_equal.
% 47.07/47.25 apply zenon_H30d. apply sym_equal. exact zenon_H30a.
% 47.07/47.25 (* end of lemma zenon_L332_ *)
% 47.07/47.25 assert (zenon_L333_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H339 zenon_H15b zenon_H6a zenon_H19 zenon_H1c zenon_H15a zenon_H335 zenon_H2b zenon_H34 zenon_Hb5 zenon_Hd7 zenon_H8f zenon_Hb0 zenon_H338 zenon_H172.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.25 apply (zenon_L119_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.25 apply (zenon_L331_); trivial.
% 47.07/47.25 apply (zenon_L332_); trivial.
% 47.07/47.25 (* end of lemma zenon_L333_ *)
% 47.07/47.25 assert (zenon_L334_ : ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H15a zenon_Hb0 zenon_Hc5 zenon_Hb5 zenon_Ha8 zenon_Hfb zenon_H115 zenon_H2b zenon_H30a zenon_H34.
% 47.07/47.25 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.25 apply (zenon_L329_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.25 apply (zenon_L37_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H91. zenon_intro zenon_H90.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H93. zenon_intro zenon_H92.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H92). zenon_intro zenon_H95. zenon_intro zenon_H94.
% 47.07/47.25 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (e13)) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H115.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H94.
% 47.07/47.25 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 47.07/47.25 cut (((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H33c].
% 47.07/47.25 congruence.
% 47.07/47.25 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.07/47.25 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e13) (e12)) (op1 (e13) (e12))) = (op1 (e12) (e12)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H33c.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H9f.
% 47.07/47.25 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.07/47.25 cut (((op1 (e12) (e12)) = (op1 (op1 (e13) (e12)) (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33d].
% 47.07/47.25 congruence.
% 47.07/47.25 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 47.07/47.25 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_Hfc. apply sym_equal. exact zenon_Hfb.
% 47.07/47.25 apply zenon_Hfc. apply sym_equal. exact zenon_Hfb.
% 47.07/47.25 apply zenon_Ha0. apply refl_equal.
% 47.07/47.25 apply zenon_Ha0. apply refl_equal.
% 47.07/47.25 apply zenon_Hc7. apply sym_equal. exact zenon_Ha8.
% 47.07/47.25 apply (zenon_L291_); trivial.
% 47.07/47.25 (* end of lemma zenon_L334_ *)
% 47.07/47.25 assert (zenon_L335_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H339 zenon_H15b zenon_H6a zenon_H19 zenon_H1c zenon_Hdf zenon_H306 zenon_H15a zenon_Hb0 zenon_Hc5 zenon_Hb5 zenon_Ha8 zenon_Hfb zenon_H115 zenon_H2b zenon_H34.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.25 apply (zenon_L119_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.25 apply (zenon_L288_); trivial.
% 47.07/47.25 apply (zenon_L334_); trivial.
% 47.07/47.25 (* end of lemma zenon_L335_ *)
% 47.07/47.25 assert (zenon_L336_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H10d zenon_Hdf zenon_H306 zenon_H34 zenon_H30a zenon_H2b zenon_H115 zenon_H15a zenon_Hb0 zenon_Hb5 zenon_Hc5 zenon_Ha8 zenon_Hf9 zenon_Hff.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H10e ].
% 47.07/47.25 apply (zenon_L288_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H105 | zenon_intro zenon_H10f ].
% 47.07/47.25 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.25 apply (zenon_L329_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.25 apply (zenon_L37_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.25 apply (zenon_L63_); trivial.
% 47.07/47.25 apply (zenon_L291_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hc4 ].
% 47.07/47.25 apply (zenon_L334_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.25 apply (zenon_L329_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.25 apply (zenon_L37_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.25 apply (zenon_L33_); trivial.
% 47.07/47.25 apply (zenon_L59_); trivial.
% 47.07/47.25 (* end of lemma zenon_L336_ *)
% 47.07/47.25 assert (zenon_L337_ : (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H116 zenon_H51 zenon_H1c zenon_H19 zenon_H6a zenon_H15b zenon_H339 zenon_H10d zenon_Hdf zenon_H306 zenon_H34 zenon_H30a zenon_H2b zenon_H115 zenon_H15a zenon_Hb0 zenon_Hb5 zenon_Hc5 zenon_Ha8 zenon_Hf9.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.07/47.25 apply (zenon_L328_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.07/47.25 apply (zenon_L28_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.07/47.25 apply (zenon_L335_); trivial.
% 47.07/47.25 apply (zenon_L336_); trivial.
% 47.07/47.25 (* end of lemma zenon_L337_ *)
% 47.07/47.25 assert (zenon_L338_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H110 zenon_H63 zenon_H175 zenon_H174 zenon_Hff zenon_H116 zenon_H51 zenon_H1c zenon_H19 zenon_H6a zenon_H15b zenon_H339 zenon_H10d zenon_Hdf zenon_H306 zenon_H34 zenon_H30a zenon_H2b zenon_H115 zenon_H15a zenon_Hb0 zenon_Hb5 zenon_Hc5 zenon_Hf9.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H62 | zenon_intro zenon_H111 ].
% 47.07/47.25 apply (zenon_L18_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H112 ].
% 47.07/47.25 apply (zenon_L127_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Ha8 ].
% 47.07/47.25 apply (zenon_L55_); trivial.
% 47.07/47.25 apply (zenon_L337_); trivial.
% 47.07/47.25 (* end of lemma zenon_L338_ *)
% 47.07/47.25 assert (zenon_L339_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H12d zenon_Hd8 zenon_He6 zenon_Hf9 zenon_H10d zenon_H51 zenon_H116 zenon_Hac zenon_H3b zenon_H2c zenon_H35 zenon_H32e zenon_Hbb zenon_H9c zenon_H339 zenon_H15b zenon_H6a zenon_H19 zenon_H1c zenon_Hdf zenon_H306 zenon_H15a zenon_Hb0 zenon_Hc5 zenon_Hb5 zenon_H115 zenon_H2b zenon_H34.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H5b | zenon_intro zenon_H12e ].
% 47.07/47.25 apply (zenon_L133_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_He5 | zenon_intro zenon_H12f ].
% 47.07/47.25 apply (zenon_L48_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hfb ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.25 apply (zenon_L102_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.25 apply (zenon_L119_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.25 apply (zenon_L288_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.07/47.25 apply (zenon_L328_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.07/47.25 apply (zenon_L28_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.07/47.25 apply (zenon_L53_); trivial.
% 47.07/47.25 apply (zenon_L336_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.25 apply (zenon_L102_); trivial.
% 47.07/47.25 apply (zenon_L335_); trivial.
% 47.07/47.25 (* end of lemma zenon_L339_ *)
% 47.07/47.25 assert (zenon_L340_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H133 zenon_Hb4 zenon_H314 zenon_Hd0 zenon_H129 zenon_H12d zenon_Hd8 zenon_He6 zenon_Hf9 zenon_H10d zenon_H51 zenon_H116 zenon_Hac zenon_H3b zenon_H2c zenon_H35 zenon_H32e zenon_Hbb zenon_H9c zenon_H339 zenon_H15b zenon_H6a zenon_H19 zenon_H1c zenon_Hdf zenon_H306 zenon_H15a zenon_Hb0 zenon_Hc5 zenon_H115 zenon_H2b zenon_H34.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.07/47.25 apply (zenon_L297_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.07/47.25 apply (zenon_L87_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_L339_); trivial.
% 47.07/47.25 (* end of lemma zenon_L340_ *)
% 47.07/47.25 assert (zenon_L341_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e11) = (e13))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H33e zenon_H150 zenon_Hd3 zenon_H15b zenon_H172 zenon_Ha9 zenon_Ha8 zenon_H33f zenon_H15a.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H14f | zenon_intro zenon_H340 ].
% 47.07/47.25 apply (zenon_L105_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H175 | zenon_intro zenon_H341 ].
% 47.07/47.25 apply (zenon_L287_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H342 ].
% 47.07/47.25 apply (zenon_L26_); trivial.
% 47.07/47.25 cut (((op1 (e13) (e10)) = (e11)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H33f.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H15a.
% 47.07/47.25 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H343].
% 47.07/47.25 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H44. apply refl_equal.
% 47.07/47.25 apply zenon_H343. apply sym_equal. exact zenon_H342.
% 47.07/47.25 (* end of lemma zenon_L341_ *)
% 47.07/47.25 assert (zenon_L342_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_Hac zenon_H3b zenon_H1c zenon_H2c zenon_H35 zenon_H32e zenon_Hbb zenon_H9c zenon_H33e zenon_H150 zenon_Hd3 zenon_H15b zenon_H172 zenon_Ha9 zenon_H33f zenon_H15a.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.25 apply (zenon_L102_); trivial.
% 47.07/47.25 apply (zenon_L341_); trivial.
% 47.07/47.25 (* end of lemma zenon_L342_ *)
% 47.07/47.25 assert (zenon_L343_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (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) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H163 zenon_H23 zenon_H56 zenon_H119 zenon_H17b zenon_H174 zenon_H110 zenon_H177 zenon_H137 zenon_H344 zenon_H1b zenon_H338 zenon_H8f zenon_H335 zenon_H164 zenon_H42 zenon_H1c zenon_H2c zenon_H3b zenon_H345 zenon_H5c zenon_H133 zenon_Hb4 zenon_H314 zenon_Hd0 zenon_H129 zenon_H12d zenon_He6 zenon_Hf9 zenon_H10d zenon_H51 zenon_H116 zenon_H339 zenon_H6a zenon_H306 zenon_Hb0 zenon_Hc5 zenon_H115 zenon_H2b zenon_H346 zenon_H4b zenon_H15a zenon_H33f zenon_Ha9 zenon_H15b zenon_Hd3 zenon_H150 zenon_H33e zenon_H9c zenon_H35 zenon_Hac zenon_H11b zenon_H19 zenon_H63 zenon_H48 zenon_Hd8.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.25 apply (zenon_L283_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.25 apply (zenon_L15_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.25 apply (zenon_L7_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.25 apply (zenon_L297_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.25 apply (zenon_L133_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.25 apply (zenon_L7_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.25 apply (zenon_L9_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.25 apply (zenon_L326_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.25 apply (zenon_L4_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.25 apply (zenon_L326_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.07/47.25 apply (zenon_L297_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.07/47.25 apply (zenon_L87_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.25 apply (zenon_L119_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.25 apply (zenon_L288_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.07/47.25 apply (zenon_L328_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.07/47.25 apply (zenon_L28_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.07/47.25 apply (zenon_L70_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H172 | zenon_intro zenon_H17c ].
% 47.07/47.25 apply (zenon_L333_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H175 | zenon_intro zenon_H17d ].
% 47.07/47.25 apply (zenon_L338_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H176 | zenon_intro zenon_H136 ].
% 47.07/47.25 apply (zenon_L132_); trivial.
% 47.07/47.25 apply (zenon_L92_); trivial.
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.25 apply (zenon_L4_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.25 apply (zenon_L326_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.07/47.25 apply (zenon_L297_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.07/47.25 apply (zenon_L87_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_L333_); trivial.
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_L11_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.25 apply (zenon_L7_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.25 apply (zenon_L297_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.25 apply (zenon_L7_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.25 apply (zenon_L9_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.25 apply (zenon_L326_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H4c | zenon_intro zenon_H34b ].
% 47.07/47.25 apply (zenon_L13_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H32e | zenon_intro zenon_H34c ].
% 47.07/47.25 apply (zenon_L340_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H11a | zenon_intro zenon_H62 ].
% 47.07/47.25 apply (zenon_L72_); trivial.
% 47.07/47.25 apply (zenon_L18_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H346); [ zenon_intro zenon_H4c | zenon_intro zenon_H34b ].
% 47.07/47.25 apply (zenon_L13_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34b); [ zenon_intro zenon_H32e | zenon_intro zenon_H34c ].
% 47.07/47.25 apply (zenon_L342_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34c); [ zenon_intro zenon_H11a | zenon_intro zenon_H62 ].
% 47.07/47.25 apply (zenon_L72_); trivial.
% 47.07/47.25 apply (zenon_L18_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_L11_); trivial.
% 47.07/47.25 apply (zenon_L44_); trivial.
% 47.07/47.25 (* end of lemma zenon_L343_ *)
% 47.07/47.25 assert (zenon_L344_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_Hd4 zenon_H1c zenon_H1b zenon_H7d zenon_H19 zenon_H56 zenon_Hb4 zenon_Hb5.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_H1d | zenon_intro zenon_Hd5 ].
% 47.07/47.25 apply (zenon_L4_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd6 ].
% 47.07/47.25 apply (zenon_L40_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H57 | zenon_intro zenon_H5f ].
% 47.07/47.25 apply (zenon_L15_); trivial.
% 47.07/47.25 apply (zenon_L29_); trivial.
% 47.07/47.25 (* end of lemma zenon_L344_ *)
% 47.07/47.25 assert (zenon_L345_ : (((op1 (op1 (e10) (e10)) (op1 (e10) (e10))) = (e10))/\(((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e11))/\(((op1 (op1 (e12) (e10)) (op1 (e12) (e10))) = (e12))/\((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H70 zenon_H115 zenon_Hf7 zenon_Ha8.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 47.07/47.25 cut (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (e13)) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H115.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H76.
% 47.07/47.25 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hc7].
% 47.07/47.25 cut (((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H309].
% 47.07/47.25 congruence.
% 47.07/47.25 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H9f | zenon_intro zenon_Ha0 ].
% 47.07/47.25 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (op1 (e13) (e10)) (op1 (e13) (e10))) = (op1 (e12) (e12)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H309.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H9f.
% 47.07/47.25 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 47.07/47.25 cut (((op1 (e12) (e12)) = (op1 (op1 (e13) (e10)) (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H307].
% 47.07/47.25 congruence.
% 47.07/47.25 apply (zenon_L289_); trivial.
% 47.07/47.25 apply zenon_Ha0. apply refl_equal.
% 47.07/47.25 apply zenon_Ha0. apply refl_equal.
% 47.07/47.25 apply zenon_Hc7. apply sym_equal. exact zenon_Ha8.
% 47.07/47.25 (* end of lemma zenon_L345_ *)
% 47.07/47.25 assert (zenon_L346_ : ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_Hf7 zenon_H115 zenon_Hc5 zenon_Ha8 zenon_Hb5 zenon_H105 zenon_Hb0 zenon_H2b zenon_H30a zenon_H34.
% 47.07/47.25 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.25 apply (zenon_L345_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.25 apply (zenon_L37_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.25 apply (zenon_L63_); trivial.
% 47.07/47.25 apply (zenon_L291_); trivial.
% 47.07/47.25 (* end of lemma zenon_L346_ *)
% 47.07/47.25 assert (zenon_L347_ : (((op1 (op1 (e10) (e13)) (op1 (e10) (e13))) = (e10))/\(((op1 (op1 (e11) (e13)) (op1 (e11) (e13))) = (e11))/\(((op1 (op1 (e12) (e13)) (op1 (e12) (e13))) = (e12))/\((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H9b zenon_Hb0 zenon_H342 zenon_Hb5.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H9e. zenon_intro zenon_H9d.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H109. zenon_intro zenon_H108.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H108). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 47.07/47.25 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (e13)) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_Hb0.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H10a.
% 47.07/47.25 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hb6].
% 47.07/47.25 cut (((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H34d].
% 47.07/47.25 congruence.
% 47.07/47.25 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H84 | zenon_intro zenon_H58 ].
% 47.07/47.25 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (op1 (e13) (e13)) (op1 (e13) (e13))) = (op1 (e11) (e11)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H34d.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H84.
% 47.07/47.25 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 47.07/47.25 cut (((op1 (e11) (e11)) = (op1 (op1 (e13) (e13)) (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H34e].
% 47.07/47.25 congruence.
% 47.07/47.25 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H343].
% 47.07/47.25 cut (((e11) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H343].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H343. apply sym_equal. exact zenon_H342.
% 47.07/47.25 apply zenon_H343. apply sym_equal. exact zenon_H342.
% 47.07/47.25 apply zenon_H58. apply refl_equal.
% 47.07/47.25 apply zenon_H58. apply refl_equal.
% 47.07/47.25 apply zenon_Hb6. apply sym_equal. exact zenon_Hb5.
% 47.07/47.25 (* end of lemma zenon_L347_ *)
% 47.07/47.25 assert (zenon_L348_ : ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_Hf7 zenon_H115 zenon_Hc5 zenon_Ha8 zenon_H34 zenon_H102 zenon_H2b zenon_Hb0 zenon_H342 zenon_Hb5.
% 47.07/47.25 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.25 apply (zenon_L345_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.25 apply (zenon_L37_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.25 apply (zenon_L330_); trivial.
% 47.07/47.25 apply (zenon_L347_); trivial.
% 47.07/47.25 (* end of lemma zenon_L348_ *)
% 47.07/47.25 assert (zenon_L349_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e11)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_Hd0 zenon_H6a zenon_H1c zenon_Hd3 zenon_Hb4 zenon_H19 zenon_Hf7 zenon_H115 zenon_Hc5 zenon_Ha8 zenon_H34 zenon_H102 zenon_H2b zenon_Hb0 zenon_H342.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.07/47.25 apply (zenon_L40_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.07/47.25 apply (zenon_L28_); trivial.
% 47.07/47.25 apply (zenon_L348_); trivial.
% 47.07/47.25 (* end of lemma zenon_L349_ *)
% 47.07/47.25 assert (zenon_L350_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e13)) = (e11)) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H10d zenon_H19 zenon_Hb4 zenon_Hd3 zenon_H1c zenon_H6a zenon_Hd0 zenon_H34 zenon_H30a zenon_H2b zenon_H115 zenon_Hfa zenon_Hf7 zenon_Hf9 zenon_Hc5 zenon_Ha8 zenon_Hb0 zenon_H342 zenon_Hb5.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H10e ].
% 47.07/47.25 apply (zenon_L349_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H105 | zenon_intro zenon_H10f ].
% 47.07/47.25 apply (zenon_L346_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hc4 ].
% 47.07/47.25 apply (zenon_L53_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.25 apply (zenon_L290_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.25 apply (zenon_L37_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.25 apply (zenon_L33_); trivial.
% 47.07/47.25 apply (zenon_L347_); trivial.
% 47.07/47.25 (* end of lemma zenon_L350_ *)
% 47.07/47.25 assert (zenon_L351_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H34f zenon_H306 zenon_Hdf zenon_H15b zenon_H339 zenon_H9c zenon_Hbb zenon_H32e zenon_H35 zenon_H2c zenon_H3b zenon_Hac zenon_H116 zenon_H51 zenon_He6 zenon_Hd8 zenon_H12d zenon_H129 zenon_H314 zenon_H133 zenon_H56 zenon_H1b zenon_Hd4 zenon_H10d zenon_H19 zenon_Hb4 zenon_Hd3 zenon_H1c zenon_H6a zenon_Hd0 zenon_H34 zenon_H30a zenon_H2b zenon_H115 zenon_Hfa zenon_Hf7 zenon_Hf9 zenon_Hc5 zenon_Ha8 zenon_Hb0 zenon_Hb5.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34f); [ zenon_intro zenon_H15a | zenon_intro zenon_H350 ].
% 47.07/47.25 apply (zenon_L340_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H7d | zenon_intro zenon_H351 ].
% 47.07/47.25 apply (zenon_L344_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H105 | zenon_intro zenon_H342 ].
% 47.07/47.25 apply (zenon_L346_); trivial.
% 47.07/47.25 apply (zenon_L350_); trivial.
% 47.07/47.25 (* end of lemma zenon_L351_ *)
% 47.07/47.25 assert (zenon_L352_ : ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e13)) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H105 zenon_H104 zenon_H34f zenon_H306 zenon_Hdf zenon_H15b zenon_H339 zenon_H9c zenon_Hbb zenon_H32e zenon_H35 zenon_H2c zenon_H3b zenon_Hac zenon_H116 zenon_H51 zenon_He6 zenon_Hd8 zenon_H12d zenon_H129 zenon_H314 zenon_H133 zenon_H56 zenon_H1b zenon_Hd4 zenon_H10d zenon_H19 zenon_Hb4 zenon_Hd3 zenon_H1c zenon_H6a zenon_Hd0 zenon_H34 zenon_H30a zenon_H2b zenon_H115 zenon_Hfa zenon_Hf7 zenon_Hf9 zenon_Hc5 zenon_Ha8 zenon_Hb0.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.07/47.25 apply (zenon_L57_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.07/47.25 apply (zenon_L28_); trivial.
% 47.07/47.25 apply (zenon_L351_); trivial.
% 47.07/47.25 (* end of lemma zenon_L352_ *)
% 47.07/47.25 assert (zenon_L353_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((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 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H101 zenon_Hfd zenon_Hed zenon_H5f zenon_H48 zenon_H63 zenon_H11b zenon_H33e zenon_H150 zenon_Ha9 zenon_H33f zenon_H4b zenon_H346 zenon_H5c zenon_H345 zenon_H42 zenon_H164 zenon_H335 zenon_H8f zenon_H338 zenon_H344 zenon_H137 zenon_H177 zenon_H110 zenon_H174 zenon_H17b zenon_H119 zenon_H23 zenon_H163 zenon_Hd4 zenon_H1b zenon_H56 zenon_H133 zenon_H314 zenon_H129 zenon_H12d zenon_Hd8 zenon_He6 zenon_H51 zenon_H116 zenon_Hac zenon_H3b zenon_H2c zenon_H35 zenon_H32e zenon_Hbb zenon_H9c zenon_H339 zenon_H15b zenon_Hdf zenon_H306 zenon_H34f zenon_H104 zenon_H10d zenon_H19 zenon_Hb4 zenon_Hd3 zenon_H1c zenon_H6a zenon_Hd0 zenon_H34 zenon_H2b zenon_H115 zenon_Hfa zenon_Hf7 zenon_Hf9 zenon_Hc5 zenon_Hb0.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.25 apply (zenon_L17_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.25 apply (zenon_L102_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.25 apply (zenon_L69_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.25 apply (zenon_L288_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34f); [ zenon_intro zenon_H15a | zenon_intro zenon_H350 ].
% 47.07/47.25 apply (zenon_L343_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H7d | zenon_intro zenon_H351 ].
% 47.07/47.25 apply (zenon_L40_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H105 | zenon_intro zenon_H342 ].
% 47.07/47.25 apply (zenon_L352_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.07/47.25 apply (zenon_L40_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.07/47.25 apply (zenon_L28_); trivial.
% 47.07/47.25 apply (zenon_L350_); trivial.
% 47.07/47.25 (* end of lemma zenon_L353_ *)
% 47.07/47.25 assert (zenon_L354_ : (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (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) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_Hb0 zenon_Hc5 zenon_Hf9 zenon_Hf7 zenon_H115 zenon_H2b zenon_H34 zenon_Hd0 zenon_H6a zenon_H1c zenon_Hd3 zenon_Hb4 zenon_H19 zenon_H10d zenon_H104 zenon_H34f zenon_H306 zenon_Hdf zenon_H15b zenon_H339 zenon_H9c zenon_H32e zenon_H35 zenon_H2c zenon_H3b zenon_Hac zenon_H116 zenon_H51 zenon_He6 zenon_Hd8 zenon_H12d zenon_H129 zenon_H314 zenon_H133 zenon_H56 zenon_H1b zenon_Hd4 zenon_H163 zenon_H23 zenon_H119 zenon_H17b zenon_H174 zenon_H110 zenon_H177 zenon_H137 zenon_H344 zenon_H338 zenon_H8f zenon_H335 zenon_H164 zenon_H42 zenon_H345 zenon_H5c zenon_H346 zenon_H4b zenon_H33f zenon_Ha9 zenon_H150 zenon_H33e zenon_H11b zenon_H63 zenon_H48 zenon_H5f zenon_Hed zenon_Hfd zenon_H101 zenon_H30e zenon_H149 zenon_H142 zenon_H130 zenon_Hf1 zenon_Hbe zenon_Hde zenon_Hea zenon_H16f zenon_H30f zenon_H14c zenon_Hb7 zenon_H8e.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.25 apply (zenon_L50_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.25 apply (zenon_L51_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H22 | zenon_intro zenon_H14d ].
% 47.07/47.25 apply (zenon_L46_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H141 | zenon_intro zenon_H14e ].
% 47.07/47.25 apply (zenon_L295_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H5b | zenon_intro zenon_Hbb ].
% 47.07/47.25 apply (zenon_L137_); trivial.
% 47.07/47.25 apply (zenon_L353_); trivial.
% 47.07/47.25 apply (zenon_L30_); trivial.
% 47.07/47.25 (* end of lemma zenon_L354_ *)
% 47.07/47.25 assert (zenon_L355_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H33e zenon_H150 zenon_H15b zenon_H172 zenon_Ha9 zenon_Hd0 zenon_H6a zenon_H1c zenon_Hd3 zenon_Hb4 zenon_H19 zenon_Hf7 zenon_H115 zenon_Hc5 zenon_Ha8 zenon_H34 zenon_H102 zenon_H2b zenon_Hb0.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H14f | zenon_intro zenon_H340 ].
% 47.07/47.25 apply (zenon_L105_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H175 | zenon_intro zenon_H341 ].
% 47.07/47.25 apply (zenon_L287_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H342 ].
% 47.07/47.25 apply (zenon_L26_); trivial.
% 47.07/47.25 apply (zenon_L349_); trivial.
% 47.07/47.25 (* end of lemma zenon_L355_ *)
% 47.07/47.25 assert (zenon_L356_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_Hac zenon_H3b zenon_H2c zenon_H35 zenon_H32e zenon_Hbb zenon_H9c zenon_H33e zenon_H150 zenon_H15b zenon_H172 zenon_Ha9 zenon_Hd0 zenon_H6a zenon_H1c zenon_Hd3 zenon_Hb4 zenon_H19 zenon_Hf7 zenon_H115 zenon_Hc5 zenon_H34 zenon_H102 zenon_H2b zenon_Hb0.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.25 apply (zenon_L102_); trivial.
% 47.07/47.25 apply (zenon_L355_); trivial.
% 47.07/47.25 (* end of lemma zenon_L356_ *)
% 47.07/47.25 assert (zenon_L357_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((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 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e12) (e12)) = (e12)) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H14c zenon_H24 zenon_H8e zenon_Hb7 zenon_H30f zenon_H16f zenon_H23 zenon_Hea zenon_H5f zenon_H56 zenon_Hf9 zenon_H119 zenon_H306 zenon_H10d zenon_H174 zenon_H63 zenon_H110 zenon_Hde zenon_He6 zenon_Hbe zenon_Hf1 zenon_Hed zenon_H51 zenon_H130 zenon_H4b zenon_H142 zenon_H149 zenon_H30e zenon_Hfa zenon_Hac zenon_H3b zenon_H2c zenon_H35 zenon_H32e zenon_H9c zenon_H33e zenon_H150 zenon_H15b zenon_H172 zenon_Ha9 zenon_Hd0 zenon_H6a zenon_H1c zenon_Hd3 zenon_Hb4 zenon_H19 zenon_Hf7 zenon_H115 zenon_Hc5 zenon_H34 zenon_H102 zenon_H2b zenon_Hb0.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H22 | zenon_intro zenon_H14d ].
% 47.07/47.25 apply (zenon_L5_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H141 | zenon_intro zenon_H14e ].
% 47.07/47.25 apply (zenon_L295_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H5b | zenon_intro zenon_Hbb ].
% 47.07/47.25 apply (zenon_L137_); trivial.
% 47.07/47.25 apply (zenon_L356_); trivial.
% 47.07/47.25 (* end of lemma zenon_L357_ *)
% 47.07/47.25 assert (zenon_L358_ : (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (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) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H6a zenon_H19 zenon_H338 zenon_H14c zenon_H24 zenon_H30f zenon_H16f zenon_H23 zenon_Hea zenon_H5f zenon_H56 zenon_Hf9 zenon_H119 zenon_H306 zenon_H10d zenon_H174 zenon_H63 zenon_H110 zenon_Hde zenon_He6 zenon_Hbe zenon_Hf1 zenon_Hed zenon_H51 zenon_H130 zenon_H4b zenon_H142 zenon_H149 zenon_H30e zenon_Hac zenon_H35 zenon_H9c zenon_H33e zenon_H150 zenon_H15b zenon_Ha9 zenon_Hd0 zenon_Hd3 zenon_Hb4 zenon_Hf7 zenon_H115 zenon_Hc5 zenon_H2b zenon_Hb0 zenon_H116 zenon_H5c zenon_H104 zenon_Hfd zenon_H101 zenon_H339 zenon_Hb7 zenon_H8e zenon_H1b zenon_H344 zenon_H48 zenon_H11b zenon_H33f zenon_H346 zenon_H345 zenon_H164 zenon_H335 zenon_H8f zenon_H137 zenon_H177 zenon_H17b zenon_H163 zenon_Hd4 zenon_H133 zenon_H314 zenon_H129 zenon_H12d zenon_Hd8 zenon_H34f zenon_H3b zenon_H2c zenon_H1c zenon_H42.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.25 apply (zenon_L7_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.25 apply (zenon_L9_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.25 apply (zenon_L326_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.25 apply (zenon_L4_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.25 apply (zenon_L326_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.25 apply (zenon_L354_); trivial.
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.25 apply (zenon_L4_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.25 apply (zenon_L326_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.25 apply (zenon_L50_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.25 apply (zenon_L51_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.25 apply (zenon_L69_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.25 apply (zenon_L357_); trivial.
% 47.07/47.25 apply (zenon_L332_); trivial.
% 47.07/47.25 apply (zenon_L30_); trivial.
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_L11_); trivial.
% 47.07/47.25 (* end of lemma zenon_L358_ *)
% 47.07/47.25 assert (zenon_L359_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((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)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((e10) = (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) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H339 zenon_Hf9 zenon_Hfa zenon_H101 zenon_H10d zenon_Hfd zenon_Hed zenon_H63 zenon_H110 zenon_H104 zenon_H56 zenon_H5f zenon_H5c zenon_H116 zenon_Hb0 zenon_H2b zenon_H34 zenon_Ha8 zenon_Hc5 zenon_H115 zenon_Hf7 zenon_H19 zenon_Hb4 zenon_Hd3 zenon_H1c zenon_H6a zenon_Hd0 zenon_Ha9 zenon_H15b zenon_H150 zenon_H33e zenon_H338 zenon_H172.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.25 apply (zenon_L69_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.25 apply (zenon_L355_); trivial.
% 47.07/47.25 apply (zenon_L332_); trivial.
% 47.07/47.25 (* end of lemma zenon_L359_ *)
% 47.07/47.25 assert (zenon_L360_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e12) = (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e12))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e11) = (e13))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H33e zenon_H51 zenon_H164 zenon_H42 zenon_H1c zenon_H2c zenon_H3b zenon_H149 zenon_H150 zenon_H4b zenon_H130 zenon_Hed zenon_Hf1 zenon_H9c zenon_Hac zenon_H1b zenon_H19 zenon_Hb4 zenon_Hd4 zenon_H56 zenon_H8f zenon_H48 zenon_Hd8 zenon_H23 zenon_H5c zenon_H163 zenon_H15b zenon_H172 zenon_Ha9 zenon_Hf7 zenon_H115 zenon_Hc5 zenon_Ha8 zenon_H34 zenon_H102 zenon_H2b zenon_Hb0 zenon_Hb5.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H14f | zenon_intro zenon_H340 ].
% 47.07/47.25 apply (zenon_L305_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H175 | zenon_intro zenon_H341 ].
% 47.07/47.25 apply (zenon_L287_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H342 ].
% 47.07/47.25 apply (zenon_L26_); trivial.
% 47.07/47.25 apply (zenon_L348_); trivial.
% 47.07/47.25 (* end of lemma zenon_L360_ *)
% 47.07/47.25 assert (zenon_L361_ : (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((e11) = (e12))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (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 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((e12) = (e13))) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H315 zenon_H30e zenon_H142 zenon_Hbe zenon_Hde zenon_Hea zenon_H16f zenon_H30f zenon_H24 zenon_H14c zenon_H42 zenon_H1c zenon_H2c zenon_H3b zenon_H11b zenon_H33f zenon_H346 zenon_H345 zenon_H335 zenon_H137 zenon_H177 zenon_H174 zenon_H17b zenon_H119 zenon_H314 zenon_H12d zenon_He6 zenon_H306 zenon_H34f zenon_H344 zenon_Hb7 zenon_H35 zenon_H339 zenon_Hf9 zenon_H101 zenon_H10d zenon_H116 zenon_Hb0 zenon_H2b zenon_Hc5 zenon_H115 zenon_Ha9 zenon_H15b zenon_H163 zenon_H5c zenon_H23 zenon_H48 zenon_H8f zenon_H56 zenon_Hd4 zenon_Hb4 zenon_H1b zenon_Hac zenon_H9c zenon_Hf1 zenon_Hed zenon_H130 zenon_H4b zenon_H150 zenon_H149 zenon_H164 zenon_H51 zenon_H33e zenon_H338 zenon_H129 zenon_Hd0 zenon_Hd3 zenon_H104 zenon_H110 zenon_H63 zenon_Hfd zenon_H133 zenon_H19 zenon_H6a zenon_H8e zenon_Hd8.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H50 | zenon_intro zenon_H316 ].
% 47.07/47.25 apply (zenon_L283_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H301 | zenon_intro zenon_H317 ].
% 47.07/47.25 apply (zenon_L285_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_Hee | zenon_intro zenon_Hf7 ].
% 47.07/47.25 apply (zenon_L50_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.25 apply (zenon_L7_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.25 apply (zenon_L358_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.25 apply (zenon_L7_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.25 apply (zenon_L9_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.25 apply (zenon_L326_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.25 apply (zenon_L4_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.25 apply (zenon_L326_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.25 apply (zenon_L50_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.25 apply (zenon_L51_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.25 apply (zenon_L353_); trivial.
% 47.07/47.25 apply (zenon_L30_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.07/47.25 apply (zenon_L87_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.25 apply (zenon_L50_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.25 apply (zenon_L51_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.25 apply (zenon_L102_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.25 apply (zenon_L79_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.25 apply (zenon_L288_); trivial.
% 47.07/47.25 apply (zenon_L351_); trivial.
% 47.07/47.25 apply (zenon_L30_); trivial.
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.25 apply (zenon_L4_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.25 apply (zenon_L326_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.25 apply (zenon_L50_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.25 apply (zenon_L51_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.25 apply (zenon_L17_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.25 apply (zenon_L102_); trivial.
% 47.07/47.25 apply (zenon_L359_); trivial.
% 47.07/47.25 apply (zenon_L30_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.07/47.25 apply (zenon_L87_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.25 apply (zenon_L50_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.25 apply (zenon_L51_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.25 apply (zenon_L327_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.25 apply (zenon_L102_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.25 apply (zenon_L79_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.25 apply (zenon_L360_); trivial.
% 47.07/47.25 apply (zenon_L332_); trivial.
% 47.07/47.25 apply (zenon_L30_); trivial.
% 47.07/47.25 apply (zenon_L19_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.25 apply (zenon_L10_); trivial.
% 47.07/47.25 apply (zenon_L11_); trivial.
% 47.07/47.25 apply (zenon_L44_); trivial.
% 47.07/47.25 (* end of lemma zenon_L361_ *)
% 47.07/47.25 assert (zenon_L362_ : (((op2 (op2 (e20) (e22)) (op2 (e20) (e22))) = (e20))/\(((op2 (op2 (e21) (e22)) (op2 (e21) (e22))) = (e21))/\(((op2 (op2 (e22) (e22)) (op2 (e22) (e22))) = (e22))/\((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H209 zenon_H193 zenon_H260 zenon_H19c.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H20c. zenon_intro zenon_H20b.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H20e. zenon_intro zenon_H20d.
% 47.07/47.25 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H210. zenon_intro zenon_H20f.
% 47.07/47.25 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (e23)) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H193.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H20f.
% 47.07/47.25 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f4].
% 47.07/47.25 cut (((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H352].
% 47.07/47.25 congruence.
% 47.07/47.25 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H197 | zenon_intro zenon_H198 ].
% 47.07/47.25 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e23) (e22)) (op2 (e23) (e22))) = (op2 (e20) (e20)))).
% 47.07/47.25 intro zenon_D_pnotp.
% 47.07/47.25 apply zenon_H352.
% 47.07/47.25 rewrite <- zenon_D_pnotp.
% 47.07/47.25 exact zenon_H197.
% 47.07/47.25 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 47.07/47.25 cut (((op2 (e20) (e20)) = (op2 (op2 (e23) (e22)) (op2 (e23) (e22))))); [idtac | apply NNPP; zenon_intro zenon_H353].
% 47.07/47.25 congruence.
% 47.07/47.25 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H261].
% 47.07/47.25 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H261].
% 47.07/47.25 congruence.
% 47.07/47.25 apply zenon_H261. apply sym_equal. exact zenon_H260.
% 47.07/47.25 apply zenon_H261. apply sym_equal. exact zenon_H260.
% 47.07/47.25 apply zenon_H198. apply refl_equal.
% 47.07/47.25 apply zenon_H198. apply refl_equal.
% 47.07/47.25 apply zenon_H1f4. apply sym_equal. exact zenon_H19c.
% 47.07/47.25 (* end of lemma zenon_L362_ *)
% 47.07/47.25 assert (zenon_L363_ : ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 47.07/47.25 do 0 intro. intros zenon_H257 zenon_H265 zenon_H23f zenon_H223 zenon_H19c zenon_H260 zenon_H193 zenon_H229 zenon_H243 zenon_H22e.
% 47.07/47.25 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.07/47.25 apply (zenon_L311_); trivial.
% 47.07/47.25 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.07/47.26 apply (zenon_L182_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.07/47.26 apply (zenon_L362_); trivial.
% 47.07/47.26 apply (zenon_L183_); trivial.
% 47.07/47.26 (* end of lemma zenon_L363_ *)
% 47.07/47.26 assert (zenon_L364_ : (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e20)) -> (~((e21) = (e23))) -> ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H225 zenon_H1a3 zenon_H14 zenon_H194 zenon_H19d zenon_H1ea zenon_H24e zenon_H216 zenon_H2c7 zenon_H1b9 zenon_H1db zenon_H1df zenon_H1dd zenon_H1d3 zenon_H257 zenon_H265 zenon_H23f zenon_H19c zenon_H260 zenon_H193 zenon_H229 zenon_H22e.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.26 apply (zenon_L151_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.26 apply (zenon_L168_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.26 apply (zenon_L264_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1da | zenon_intro zenon_H2c8 ].
% 47.07/47.26 apply (zenon_L165_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1de | zenon_intro zenon_H2c9 ].
% 47.07/47.26 apply (zenon_L166_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H222 | zenon_intro zenon_H243 ].
% 47.07/47.26 apply (zenon_L174_); trivial.
% 47.07/47.26 apply (zenon_L363_); trivial.
% 47.07/47.26 (* end of lemma zenon_L364_ *)
% 47.07/47.26 assert (zenon_L365_ : ((op2 (e23) (e20)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H257 zenon_H265 zenon_H23f zenon_H223 zenon_H22e zenon_H263 zenon_H229 zenon_H193 zenon_H31e zenon_H19c.
% 47.07/47.26 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.07/47.26 apply (zenon_L311_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.07/47.26 apply (zenon_L182_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.07/47.26 apply (zenon_L201_); trivial.
% 47.07/47.26 apply (zenon_L312_); trivial.
% 47.07/47.26 (* end of lemma zenon_L365_ *)
% 47.07/47.26 assert (zenon_L366_ : (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e20))\/((op2 (e23) (e20)) = (e20))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e21) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e21))\/((op2 (e23) (e20)) = (e21))))) -> (((op2 (e20) (e22)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> (~((e20) = (e21))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e21))\/((op2 (e23) (e23)) = (e21))))) -> (~((e21) = (e22))) -> (~((e21) = (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e22) = (e23))) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H1aa zenon_H14 zenon_H194 zenon_H1a3 zenon_H1cf zenon_H1b0 zenon_H25c zenon_H2b5 zenon_H1b3 zenon_H23a zenon_H24b zenon_H2d1 zenon_H2e7 zenon_H2d2 zenon_H27d zenon_H262 zenon_H27a zenon_H2fc zenon_H2a0 zenon_H2d7 zenon_H2bb zenon_H2f7 zenon_H2eb zenon_H230 zenon_H259 zenon_H25f zenon_H271 zenon_H27c zenon_H28d zenon_H287 zenon_H2ee zenon_H2ec zenon_H2ef zenon_H18d zenon_H2ba zenon_H2d5 zenon_H251 zenon_H20a zenon_H270 zenon_H1be zenon_H2ab zenon_H2bc zenon_H18c zenon_H2a8 zenon_H299 zenon_H354 zenon_H234 zenon_H322 zenon_H2bd zenon_H185 zenon_H1c4 zenon_H1df zenon_H2d4 zenon_H1c7 zenon_H355 zenon_H29f zenon_H27b zenon_H291 zenon_H225 zenon_H19d zenon_H216 zenon_H2c7 zenon_H1b9 zenon_H1d3 zenon_H265 zenon_H23f zenon_H193 zenon_H229 zenon_H2d3 zenon_H183 zenon_H1e4 zenon_H1db zenon_H276.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H280 ].
% 47.07/47.26 apply (zenon_L307_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H281 ].
% 47.07/47.26 apply (zenon_L158_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H23b | zenon_intro zenon_H257 ].
% 47.07/47.26 apply (zenon_L222_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.26 apply (zenon_L148_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.26 apply (zenon_L220_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.26 apply (zenon_L148_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.07/47.26 apply (zenon_L150_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.07/47.26 apply (zenon_L160_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.26 apply (zenon_L145_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.26 apply (zenon_L160_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2e2 ].
% 47.07/47.26 apply (zenon_L220_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2e3 ].
% 47.07/47.26 apply (zenon_L221_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H22e ].
% 47.07/47.26 apply (zenon_L168_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2fd ].
% 47.07/47.26 apply (zenon_L317_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H296 | zenon_intro zenon_H2fe ].
% 47.07/47.26 apply (zenon_L253_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H297 | zenon_intro zenon_H263 ].
% 47.07/47.26 apply (zenon_L263_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.26 apply (zenon_L151_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.26 apply (zenon_L168_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.26 apply (zenon_L264_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H1ed | zenon_intro zenon_H356 ].
% 47.07/47.26 apply (zenon_L188_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H356); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H357 ].
% 47.07/47.26 apply (zenon_L167_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H260 | zenon_intro zenon_H31e ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H323 ].
% 47.07/47.26 apply (zenon_L261_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1dd | zenon_intro zenon_H324 ].
% 47.07/47.26 apply (zenon_L364_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H233 | zenon_intro zenon_H31e ].
% 47.07/47.26 apply (zenon_L179_); trivial.
% 47.07/47.26 apply (zenon_L365_); trivial.
% 47.07/47.26 apply (zenon_L365_); trivial.
% 47.07/47.26 apply (zenon_L167_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.26 apply (zenon_L145_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.26 apply (zenon_L160_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.26 apply (zenon_L162_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.26 apply (zenon_L163_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2e2 ].
% 47.07/47.26 apply (zenon_L220_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2e3 ].
% 47.07/47.26 apply (zenon_L221_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H22e ].
% 47.07/47.26 apply (zenon_L168_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H18b | zenon_intro zenon_H358 ].
% 47.07/47.26 apply (zenon_L238_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H359 ].
% 47.07/47.26 apply (zenon_L253_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H290 | zenon_intro zenon_H260 ].
% 47.07/47.26 apply (zenon_L213_); trivial.
% 47.07/47.26 apply (zenon_L364_); trivial.
% 47.07/47.26 apply (zenon_L166_); trivial.
% 47.07/47.26 apply (zenon_L167_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.26 apply (zenon_L151_); trivial.
% 47.07/47.26 apply (zenon_L152_); trivial.
% 47.07/47.26 apply (zenon_L217_); trivial.
% 47.07/47.26 (* end of lemma zenon_L366_ *)
% 47.07/47.26 assert (zenon_L367_ : (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e21) = (e23))) -> ((op2 (e20) (e21)) = (e21)) -> (~((e22) = (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e20)) -> (~((e20) = (e23))) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H27b zenon_H14 zenon_H194 zenon_H193 zenon_H1d3 zenon_H29f zenon_H276 zenon_H1c3 zenon_H2e6 zenon_H19d.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.26 apply (zenon_L148_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.26 apply (zenon_L220_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.26 apply (zenon_L206_); trivial.
% 47.07/47.26 apply (zenon_L260_); trivial.
% 47.07/47.26 (* end of lemma zenon_L367_ *)
% 47.07/47.26 assert (zenon_L368_ : (((op2 (op2 (e20) (e20)) (op2 (e20) (e20))) = (e20))/\(((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (e21))/\(((op2 (op2 (e22) (e20)) (op2 (e22) (e20))) = (e22))/\((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (e21)) = (e23)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H1ec zenon_H229 zenon_H2b8 zenon_H22e.
% 47.07/47.26 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee.
% 47.07/47.26 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 47.07/47.26 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1f3. zenon_intro zenon_H1f2.
% 47.07/47.26 cut (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (e23)) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H229.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H1f2.
% 47.07/47.26 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H22f].
% 47.07/47.26 cut (((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H35a].
% 47.07/47.26 congruence.
% 47.07/47.26 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H200 | zenon_intro zenon_H1c0 ].
% 47.07/47.26 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (op2 (e23) (e20)) (op2 (e23) (e20))) = (op2 (e21) (e21)))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H35a.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H200.
% 47.07/47.26 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1c0].
% 47.07/47.26 cut (((op2 (e21) (e21)) = (op2 (op2 (e23) (e20)) (op2 (e23) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H35b].
% 47.07/47.26 congruence.
% 47.07/47.26 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 47.07/47.26 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 47.07/47.26 congruence.
% 47.07/47.26 apply zenon_H35c. apply sym_equal. exact zenon_H2b8.
% 47.07/47.26 apply zenon_H35c. apply sym_equal. exact zenon_H2b8.
% 47.07/47.26 apply zenon_H1c0. apply refl_equal.
% 47.07/47.26 apply zenon_H1c0. apply refl_equal.
% 47.07/47.26 apply zenon_H22f. apply sym_equal. exact zenon_H22e.
% 47.07/47.26 (* end of lemma zenon_L368_ *)
% 47.07/47.26 assert (zenon_L369_ : (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e23)) = (e20)) -> ((op2 (e23) (e20)) = (e21)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H229 zenon_H20a zenon_H278 zenon_H22e zenon_H19c zenon_H260 zenon_H193 zenon_H35d zenon_H1dd zenon_H2b8.
% 47.07/47.26 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.07/47.26 apply (zenon_L368_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.07/47.26 apply (zenon_L239_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.07/47.26 apply (zenon_L362_); trivial.
% 47.07/47.26 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H21b. zenon_intro zenon_H21a.
% 47.07/47.26 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H245. zenon_intro zenon_H244.
% 47.07/47.26 cut (((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (e21)) = ((op2 (e20) (e20)) = (op2 (e23) (e20)))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H35d.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H245.
% 47.07/47.26 cut (((e21) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H35c].
% 47.07/47.26 cut (((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H35e].
% 47.07/47.26 congruence.
% 47.07/47.26 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H197 | zenon_intro zenon_H198 ].
% 47.07/47.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (op2 (e21) (e23)) (op2 (e21) (e23))) = (op2 (e20) (e20)))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H35e.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H197.
% 47.07/47.26 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H198].
% 47.07/47.26 cut (((op2 (e20) (e20)) = (op2 (op2 (e21) (e23)) (op2 (e21) (e23))))); [idtac | apply NNPP; zenon_intro zenon_H35f].
% 47.07/47.26 congruence.
% 47.07/47.26 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 47.07/47.26 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2ed].
% 47.07/47.26 congruence.
% 47.07/47.26 apply zenon_H2ed. apply sym_equal. exact zenon_H1dd.
% 47.07/47.26 apply zenon_H2ed. apply sym_equal. exact zenon_H1dd.
% 47.07/47.26 apply zenon_H198. apply refl_equal.
% 47.07/47.26 apply zenon_H198. apply refl_equal.
% 47.07/47.26 apply zenon_H35c. apply sym_equal. exact zenon_H2b8.
% 47.07/47.26 (* end of lemma zenon_L369_ *)
% 47.07/47.26 assert (zenon_L370_ : ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (e20)) = (e22)) -> (~((e21) = (e22))) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H2b8 zenon_H257 zenon_H1b9.
% 47.07/47.26 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1bb ].
% 47.07/47.26 cut (((e22) = (e22)) = ((e21) = (e22))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H1b9.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H1ba.
% 47.07/47.26 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 47.07/47.26 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1bc].
% 47.07/47.26 congruence.
% 47.07/47.26 cut (((op2 (e23) (e20)) = (e21)) = ((e22) = (e21))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H1bc.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H2b8.
% 47.07/47.26 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.07/47.26 cut (((op2 (e23) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H258].
% 47.07/47.26 congruence.
% 47.07/47.26 exact (zenon_H258 zenon_H257).
% 47.07/47.26 apply zenon_H181. apply refl_equal.
% 47.07/47.26 apply zenon_H1bb. apply refl_equal.
% 47.07/47.26 apply zenon_H1bb. apply refl_equal.
% 47.07/47.26 (* end of lemma zenon_L370_ *)
% 47.07/47.26 assert (zenon_L371_ : ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H2b8 zenon_H229 zenon_H23f zenon_H223 zenon_H22e zenon_H260 zenon_H193 zenon_H31e zenon_H19c.
% 47.07/47.26 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.07/47.26 apply (zenon_L368_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.07/47.26 apply (zenon_L182_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.07/47.26 apply (zenon_L362_); trivial.
% 47.07/47.26 apply (zenon_L312_); trivial.
% 47.07/47.26 (* end of lemma zenon_L371_ *)
% 47.07/47.26 assert (zenon_L372_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H25f zenon_H2b8 zenon_H263.
% 47.07/47.26 cut (((op2 (e23) (e20)) = (e21)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H25f.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H2b8.
% 47.07/47.26 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H264].
% 47.07/47.26 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 47.07/47.26 congruence.
% 47.07/47.26 apply zenon_H1ac. apply refl_equal.
% 47.07/47.26 apply zenon_H264. apply sym_equal. exact zenon_H263.
% 47.07/47.26 (* end of lemma zenon_L372_ *)
% 47.07/47.26 assert (zenon_L373_ : ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H2b8 zenon_H229 zenon_H23f zenon_H22e zenon_H223 zenon_H25a zenon_H265 zenon_H193 zenon_H31e zenon_H19c.
% 47.07/47.26 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.07/47.26 apply (zenon_L368_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.07/47.26 apply (zenon_L182_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.07/47.26 apply (zenon_L193_); trivial.
% 47.07/47.26 apply (zenon_L312_); trivial.
% 47.07/47.26 (* end of lemma zenon_L373_ *)
% 47.07/47.26 assert (zenon_L374_ : ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H2b8 zenon_H229 zenon_H22e zenon_H23f zenon_H26c zenon_H265 zenon_H269 zenon_H223.
% 47.07/47.26 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.07/47.26 apply (zenon_L368_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.07/47.26 apply (zenon_L182_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.07/47.26 apply (zenon_L197_); trivial.
% 47.07/47.26 apply (zenon_L195_); trivial.
% 47.07/47.26 (* end of lemma zenon_L374_ *)
% 47.07/47.26 assert (zenon_L375_ : (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H230 zenon_H1e4 zenon_H14 zenon_H325 zenon_H183 zenon_H2b8 zenon_H229 zenon_H23f zenon_H26c zenon_H265 zenon_H269 zenon_H223.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H231 ].
% 47.07/47.26 apply (zenon_L167_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H232 ].
% 47.07/47.26 apply (zenon_L318_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H22e ].
% 47.07/47.26 apply (zenon_L176_); trivial.
% 47.07/47.26 apply (zenon_L374_); trivial.
% 47.07/47.26 (* end of lemma zenon_L375_ *)
% 47.07/47.26 assert (zenon_L376_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e23)) = (e22)) -> ((op2 (e22) (e23)) = (e23)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H271 zenon_H25f zenon_H19c zenon_H31e zenon_H193 zenon_H22e zenon_H230 zenon_H1e4 zenon_H14 zenon_H325 zenon_H183 zenon_H2b8 zenon_H229 zenon_H23f zenon_H265 zenon_H269 zenon_H223.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H260 | zenon_intro zenon_H272 ].
% 47.07/47.26 apply (zenon_L371_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H263 | zenon_intro zenon_H273 ].
% 47.07/47.26 apply (zenon_L372_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H25a | zenon_intro zenon_H26c ].
% 47.07/47.26 apply (zenon_L373_); trivial.
% 47.07/47.26 apply (zenon_L375_); trivial.
% 47.07/47.26 (* end of lemma zenon_L376_ *)
% 47.07/47.26 assert (zenon_L377_ : (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e21)) = (e23)) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H27c zenon_H1b9 zenon_H1c3 zenon_H259 zenon_H24b zenon_H234 zenon_H1de zenon_H2eb zenon_H23b zenon_H23a zenon_H271 zenon_H25f zenon_H19c zenon_H31e zenon_H193 zenon_H22e zenon_H230 zenon_H1e4 zenon_H14 zenon_H325 zenon_H183 zenon_H2b8 zenon_H229 zenon_H23f zenon_H265.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H257 | zenon_intro zenon_H284 ].
% 47.07/47.26 apply (zenon_L370_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H228 | zenon_intro zenon_H285 ].
% 47.07/47.26 apply (zenon_L176_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H25a | zenon_intro zenon_H269 ].
% 47.07/47.26 apply (zenon_L189_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H233 | zenon_intro zenon_H24c ].
% 47.07/47.26 apply (zenon_L179_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H222 | zenon_intro zenon_H24d ].
% 47.07/47.26 apply (zenon_L254_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H23c | zenon_intro zenon_H223 ].
% 47.07/47.26 apply (zenon_L180_); trivial.
% 47.07/47.26 apply (zenon_L376_); trivial.
% 47.07/47.26 (* end of lemma zenon_L377_ *)
% 47.07/47.26 assert (zenon_L378_ : (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e22) = (op2 (e21) (e21))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H2b5 zenon_H183 zenon_H2b1 zenon_H1b3 zenon_H29a zenon_H299 zenon_H194 zenon_H14 zenon_H1a3.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H2b6 ].
% 47.07/47.26 apply (zenon_L154_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b7 ].
% 47.07/47.26 apply (zenon_L224_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H23b | zenon_intro zenon_H1a2 ].
% 47.07/47.26 apply (zenon_L215_); trivial.
% 47.07/47.26 apply (zenon_L151_); trivial.
% 47.07/47.26 (* end of lemma zenon_L378_ *)
% 47.07/47.26 assert (zenon_L379_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e21) = (e22))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e23))) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H360 zenon_H1b9 zenon_H23b zenon_H2b5 zenon_H183 zenon_H1b3 zenon_H299 zenon_H291 zenon_H29c zenon_H296 zenon_H295 zenon_H225 zenon_H1a3 zenon_H14 zenon_H194 zenon_H19d zenon_H1ea zenon_H24e zenon_H216 zenon_H1d3.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H360); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H361 ].
% 47.07/47.26 apply (zenon_L222_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H361); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H362 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H290 | zenon_intro zenon_H29d ].
% 47.07/47.26 apply (zenon_L213_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H297 | zenon_intro zenon_H29e ].
% 47.07/47.26 apply (zenon_L214_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H29a | zenon_intro zenon_H207 ].
% 47.07/47.26 apply (zenon_L378_); trivial.
% 47.07/47.26 apply (zenon_L264_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H362); [ zenon_intro zenon_H297 | zenon_intro zenon_H222 ].
% 47.07/47.26 apply (zenon_L214_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.26 apply (zenon_L151_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.26 apply (zenon_L168_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.26 apply (zenon_L264_); trivial.
% 47.07/47.26 apply (zenon_L174_); trivial.
% 47.07/47.26 (* end of lemma zenon_L379_ *)
% 47.07/47.26 assert (zenon_L380_ : (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> ((op2 (e20) (e23)) = (e22)) -> (~((e20) = (e21))) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e23) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H322 zenon_H1c4 zenon_H1db zenon_H1df zenon_H1de zenon_H234 zenon_H183 zenon_H14 zenon_H2b8 zenon_H229 zenon_H23f zenon_H22e zenon_H223 zenon_H25a zenon_H265 zenon_H193 zenon_H19c.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H323 ].
% 47.07/47.26 apply (zenon_L261_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1dd | zenon_intro zenon_H324 ].
% 47.07/47.26 apply (zenon_L166_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H233 | zenon_intro zenon_H31e ].
% 47.07/47.26 apply (zenon_L179_); trivial.
% 47.07/47.26 apply (zenon_L373_); trivial.
% 47.07/47.26 (* end of lemma zenon_L380_ *)
% 47.07/47.26 assert (zenon_L381_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e22))\/(((op2 (e23) (e21)) = (e22))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e20))\/(((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e22)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e20) (e20)) = (e22))\/(((op2 (e21) (e20)) = (e22))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e23) (e20)) = (e22))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e22) = (e23))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((e22) = (op2 (e21) (e21))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e20)) = (e22))\/((op2 (e22) (e20)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e21)) = (e20))\/(((op2 (e23) (e21)) = (e21))\/(((op2 (e23) (e21)) = (e22))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e20) (e22)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e22)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/(((op2 (e22) (e22)) = (e23))\/((op2 (e22) (e23)) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e22))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e20) (e21)) = (e23))\/(((op2 (e20) (e22)) = (e23))\/((op2 (e20) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e21)) -> (~((e21) = (e22))) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H27a zenon_H1be zenon_H35d zenon_H20a zenon_H355 zenon_H29f zenon_H25f zenon_H271 zenon_H23a zenon_H2eb zenon_H24b zenon_H259 zenon_H27c zenon_H354 zenon_H2d7 zenon_H27d zenon_H18c zenon_H276 zenon_H1e4 zenon_H183 zenon_H2d3 zenon_H1b0 zenon_H1d3 zenon_H295 zenon_H29c zenon_H291 zenon_H1b3 zenon_H2b5 zenon_H360 zenon_H2d4 zenon_H22d zenon_H325 zenon_H230 zenon_H1c7 zenon_H2d6 zenon_H2cb zenon_H299 zenon_H225 zenon_H19d zenon_H216 zenon_H322 zenon_H1c4 zenon_H1df zenon_H234 zenon_H229 zenon_H23f zenon_H265 zenon_H193 zenon_H185 zenon_H2bd zenon_H1a3 zenon_H194 zenon_H14 zenon_H1aa zenon_H27b zenon_H2b8 zenon_H1b9.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.26 apply (zenon_L307_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.26 apply (zenon_L156_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H280 ].
% 47.07/47.26 apply (zenon_L307_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H281 ].
% 47.07/47.26 apply (zenon_L158_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H23b | zenon_intro zenon_H257 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.26 apply (zenon_L148_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.26 apply (zenon_L319_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.26 apply (zenon_L206_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.26 apply (zenon_L148_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.07/47.26 apply (zenon_L150_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.07/47.26 apply (zenon_L160_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.26 apply (zenon_L145_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.26 apply (zenon_L160_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.26 apply (zenon_L219_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.26 apply (zenon_L163_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.26 apply (zenon_L253_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2e2 ].
% 47.07/47.26 apply (zenon_L319_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2e3 ].
% 47.07/47.26 apply (zenon_L221_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H22e ].
% 47.07/47.26 apply (zenon_L168_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H354); [ zenon_intro zenon_H1ed | zenon_intro zenon_H356 ].
% 47.07/47.26 apply (zenon_L236_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H356); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H357 ].
% 47.07/47.26 apply (zenon_L167_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H357); [ zenon_intro zenon_H260 | zenon_intro zenon_H31e ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H323 ].
% 47.07/47.26 apply (zenon_L367_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1dd | zenon_intro zenon_H324 ].
% 47.07/47.26 apply (zenon_L369_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H233 | zenon_intro zenon_H31e ].
% 47.07/47.26 apply (zenon_L179_); trivial.
% 47.07/47.26 apply (zenon_L377_); trivial.
% 47.07/47.26 apply (zenon_L377_); trivial.
% 47.07/47.26 apply (zenon_L167_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.26 apply (zenon_L145_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.26 apply (zenon_L160_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.26 apply (zenon_L162_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.26 apply (zenon_L163_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2e2 ].
% 47.07/47.26 apply (zenon_L220_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2e3 ].
% 47.07/47.26 apply (zenon_L221_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H22e ].
% 47.07/47.26 apply (zenon_L168_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H18b | zenon_intro zenon_H358 ].
% 47.07/47.26 apply (zenon_L157_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H359 ].
% 47.07/47.26 apply (zenon_L253_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H290 | zenon_intro zenon_H260 ].
% 47.07/47.26 apply (zenon_L213_); trivial.
% 47.07/47.26 apply (zenon_L369_); trivial.
% 47.07/47.26 apply (zenon_L166_); trivial.
% 47.07/47.26 apply (zenon_L167_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.26 apply (zenon_L151_); trivial.
% 47.07/47.26 apply (zenon_L152_); trivial.
% 47.07/47.26 apply (zenon_L370_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H280 ].
% 47.07/47.26 apply (zenon_L307_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H281 ].
% 47.07/47.26 apply (zenon_L158_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H23b | zenon_intro zenon_H257 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.26 apply (zenon_L148_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.26 apply (zenon_L319_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.26 apply (zenon_L148_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.26 apply (zenon_L145_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.26 apply (zenon_L160_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.26 apply (zenon_L219_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.26 apply (zenon_L163_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.26 apply (zenon_L379_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2e2 ].
% 47.07/47.26 apply (zenon_L319_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2e3 ].
% 47.07/47.26 apply (zenon_L221_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H22e ].
% 47.07/47.26 apply (zenon_L168_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H2e4 ].
% 47.07/47.26 apply (zenon_L206_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2e5 ].
% 47.07/47.26 apply (zenon_L249_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H29a | zenon_intro zenon_H25a ].
% 47.07/47.26 apply (zenon_L215_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.26 apply (zenon_L151_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.26 apply (zenon_L168_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.26 apply (zenon_L264_); trivial.
% 47.07/47.26 apply (zenon_L380_); trivial.
% 47.07/47.26 apply (zenon_L167_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.26 apply (zenon_L151_); trivial.
% 47.07/47.26 apply (zenon_L152_); trivial.
% 47.07/47.26 apply (zenon_L217_); trivial.
% 47.07/47.26 apply (zenon_L370_); trivial.
% 47.07/47.26 (* end of lemma zenon_L381_ *)
% 47.07/47.26 assert (zenon_L382_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H338 zenon_H175 zenon_H8f zenon_Hd7 zenon_Hb5 zenon_H105 zenon_Hb0 zenon_H2b zenon_H30a zenon_H34.
% 47.07/47.26 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 47.07/47.26 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 47.07/47.26 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.07/47.26 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H338.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H96.
% 47.07/47.26 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.07/47.26 cut (((op1 (e13) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H363].
% 47.07/47.26 congruence.
% 47.07/47.26 cut (((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (e11)) = ((op1 (e13) (e13)) = (op1 (e11) (e13)))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H363.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H75.
% 47.07/47.26 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 47.07/47.26 cut (((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H31a].
% 47.07/47.26 congruence.
% 47.07/47.26 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 47.07/47.26 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (op1 (e11) (e10)) (op1 (e11) (e10))) = (op1 (e13) (e13)))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H31a.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H96.
% 47.07/47.26 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 47.07/47.26 cut (((op1 (e13) (e13)) = (op1 (op1 (e11) (e10)) (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H318].
% 47.07/47.26 congruence.
% 47.07/47.26 apply (zenon_L299_); trivial.
% 47.07/47.26 apply zenon_H97. apply refl_equal.
% 47.07/47.26 apply zenon_H97. apply refl_equal.
% 47.07/47.26 apply zenon_H17e. apply sym_equal. exact zenon_H175.
% 47.07/47.26 apply zenon_H97. apply refl_equal.
% 47.07/47.26 apply zenon_H97. apply refl_equal.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.26 apply (zenon_L82_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.26 apply (zenon_L63_); trivial.
% 47.07/47.26 apply (zenon_L291_); trivial.
% 47.07/47.26 (* end of lemma zenon_L382_ *)
% 47.07/47.26 assert (zenon_L383_ : ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_Hc4 zenon_Hf7 zenon_Hf9 zenon_H8f zenon_Hd7 zenon_Hb5 zenon_Hc5 zenon_Hb8 zenon_H8b zenon_H2b zenon_H30a zenon_H34.
% 47.07/47.26 apply (zenon_or_s _ _ ax10); [ zenon_intro zenon_H70 | zenon_intro zenon_Ha5 ].
% 47.07/47.26 apply (zenon_L290_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ].
% 47.07/47.26 apply (zenon_L82_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H8d | zenon_intro zenon_H9b ].
% 47.07/47.26 apply (zenon_L74_); trivial.
% 47.07/47.26 apply (zenon_L291_); trivial.
% 47.07/47.26 (* end of lemma zenon_L383_ *)
% 47.07/47.26 assert (zenon_L384_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H10d zenon_Hdf zenon_H306 zenon_Hb0 zenon_H175 zenon_H338 zenon_H5b zenon_H119 zenon_Hf7 zenon_Hf9 zenon_H8f zenon_Hd7 zenon_Hb5 zenon_Hc5 zenon_Hb8 zenon_H8b zenon_H2b zenon_H30a zenon_H34.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H10e ].
% 47.07/47.26 apply (zenon_L288_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H105 | zenon_intro zenon_H10f ].
% 47.07/47.26 apply (zenon_L382_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hc4 ].
% 47.07/47.26 apply (zenon_L70_); trivial.
% 47.07/47.26 apply (zenon_L383_); trivial.
% 47.07/47.26 (* end of lemma zenon_L384_ *)
% 47.07/47.26 assert (zenon_L385_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H339 zenon_H5c zenon_H116 zenon_H6a zenon_H17b zenon_H34 zenon_H2b zenon_H8b zenon_Hb8 zenon_Hc5 zenon_Hb5 zenon_Hd7 zenon_H8f zenon_Hf9 zenon_Hf7 zenon_H119 zenon_H5b zenon_H338 zenon_Hb0 zenon_H306 zenon_Hdf zenon_H10d zenon_H177 zenon_H19 zenon_H2c zenon_H1c zenon_H137.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.26 apply (zenon_L71_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.26 apply (zenon_L19_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.26 apply (zenon_L288_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H172 | zenon_intro zenon_H17c ].
% 47.07/47.26 apply (zenon_L332_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H175 | zenon_intro zenon_H17d ].
% 47.07/47.26 apply (zenon_L384_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H176 | zenon_intro zenon_H136 ].
% 47.07/47.26 apply (zenon_L132_); trivial.
% 47.07/47.26 apply (zenon_L92_); trivial.
% 47.07/47.26 (* end of lemma zenon_L385_ *)
% 47.07/47.26 assert (zenon_L386_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_Hd0 zenon_H6a zenon_H1c zenon_Hd3 zenon_Hb4 zenon_Hb0 zenon_H19 zenon_Hc4 zenon_Hf7 zenon_Hf9 zenon_H8f zenon_Hd7 zenon_Hc5 zenon_Hb8 zenon_H8b zenon_H2b zenon_H30a zenon_H34.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.07/47.26 apply (zenon_L19_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.07/47.26 apply (zenon_L40_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.07/47.26 apply (zenon_L28_); trivial.
% 47.07/47.26 apply (zenon_L383_); trivial.
% 47.07/47.26 (* end of lemma zenon_L386_ *)
% 47.07/47.26 assert (zenon_L387_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e13) (e13)) = (e10)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H8f zenon_H13d zenon_H30a.
% 47.07/47.26 cut (((op1 (e10) (e13)) = (e10)) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))).
% 47.07/47.26 intro zenon_D_pnotp.
% 47.07/47.26 apply zenon_H8f.
% 47.07/47.26 rewrite <- zenon_D_pnotp.
% 47.07/47.26 exact zenon_H13d.
% 47.07/47.26 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H30d].
% 47.07/47.26 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.07/47.26 congruence.
% 47.07/47.26 apply zenon_Hba. apply refl_equal.
% 47.07/47.26 apply zenon_H30d. apply sym_equal. exact zenon_H30a.
% 47.07/47.26 (* end of lemma zenon_L387_ *)
% 47.07/47.26 assert (zenon_L388_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((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 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H154 zenon_H30a zenon_H5b zenon_Hb7 zenon_H14c zenon_H30f zenon_H16f zenon_Hea zenon_Hde zenon_Hbe zenon_Hf1 zenon_H130 zenon_H142 zenon_H149 zenon_H30e zenon_H101 zenon_Hfd zenon_Hed zenon_H5f zenon_H48 zenon_H63 zenon_H11b zenon_H33e zenon_H150 zenon_Ha9 zenon_H33f zenon_H4b zenon_H346 zenon_H5c zenon_H345 zenon_H42 zenon_H164 zenon_H335 zenon_H338 zenon_H344 zenon_H137 zenon_H177 zenon_H110 zenon_H174 zenon_H17b zenon_H119 zenon_H23 zenon_H163 zenon_Hd4 zenon_H1b zenon_H56 zenon_H133 zenon_H314 zenon_H129 zenon_H12d zenon_Hd8 zenon_He6 zenon_H51 zenon_H116 zenon_Hac zenon_H3b zenon_H2c zenon_H35 zenon_H32e zenon_H9c zenon_H339 zenon_H15b zenon_Hdf zenon_H306 zenon_H34f zenon_H104 zenon_H10d zenon_H19 zenon_Hb4 zenon_Hd3 zenon_H1c zenon_H6a zenon_Hd0 zenon_H34 zenon_H2b zenon_H115 zenon_Hf7 zenon_Hf9 zenon_Hc5 zenon_Hb0 zenon_H8f zenon_H152.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H13d | zenon_intro zenon_H155 ].
% 47.07/47.26 apply (zenon_L387_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14f | zenon_intro zenon_H156 ].
% 47.07/47.26 apply (zenon_L304_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H8e | zenon_intro zenon_Hd7 ].
% 47.07/47.26 apply (zenon_L354_); trivial.
% 47.07/47.26 apply (zenon_L111_); trivial.
% 47.07/47.26 (* end of lemma zenon_L388_ *)
% 47.07/47.26 assert (zenon_L389_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e10) (e13)) = (e13)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((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 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((e12) = (e13))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.07/47.26 do 0 intro. intros zenon_H364 zenon_H8b zenon_Hb8 zenon_Hd7 zenon_H154 zenon_H30a zenon_H5b zenon_Hb7 zenon_H14c zenon_H30f zenon_H16f zenon_Hea zenon_Hde zenon_Hbe zenon_Hf1 zenon_H130 zenon_H142 zenon_H149 zenon_H30e zenon_H101 zenon_Hfd zenon_Hed zenon_H5f zenon_H48 zenon_H63 zenon_H11b zenon_H33e zenon_H150 zenon_Ha9 zenon_H33f zenon_H4b zenon_H346 zenon_H5c zenon_H345 zenon_H42 zenon_H164 zenon_H335 zenon_H338 zenon_H344 zenon_H137 zenon_H177 zenon_H110 zenon_H174 zenon_H17b zenon_H119 zenon_H23 zenon_H163 zenon_Hd4 zenon_H1b zenon_H56 zenon_H133 zenon_H314 zenon_H129 zenon_H12d zenon_Hd8 zenon_He6 zenon_H51 zenon_H116 zenon_Hac zenon_H3b zenon_H2c zenon_H35 zenon_H32e zenon_H9c zenon_H339 zenon_H15b zenon_Hdf zenon_H306 zenon_H34f zenon_H104 zenon_H10d zenon_H19 zenon_Hb4 zenon_Hd3 zenon_H1c zenon_H6a zenon_Hd0 zenon_H34 zenon_H2b zenon_H115 zenon_Hf7 zenon_Hf9 zenon_Hc5 zenon_Hb0 zenon_H8f.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H41 | zenon_intro zenon_H365 ].
% 47.07/47.26 apply (zenon_L11_); trivial.
% 47.07/47.26 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H366 ].
% 47.07/47.27 apply (zenon_L385_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H152 ].
% 47.07/47.27 apply (zenon_L386_); trivial.
% 47.07/47.27 apply (zenon_L388_); trivial.
% 47.07/47.27 (* end of lemma zenon_L389_ *)
% 47.07/47.27 assert (zenon_L390_ : (~((e12) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (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) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((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 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_Hd8 zenon_H13e zenon_H125 zenon_H11f zenon_H157 zenon_H364 zenon_H154 zenon_H5b zenon_Hb7 zenon_H14c zenon_H30f zenon_H16f zenon_Hea zenon_Hde zenon_Hbe zenon_Hf1 zenon_H130 zenon_H142 zenon_H149 zenon_H30e zenon_H101 zenon_Hfd zenon_Hed zenon_H5f zenon_H48 zenon_H63 zenon_H11b zenon_H33e zenon_H150 zenon_Ha9 zenon_H33f zenon_H4b zenon_H346 zenon_H5c zenon_H345 zenon_H42 zenon_H164 zenon_H335 zenon_H338 zenon_H344 zenon_H137 zenon_H177 zenon_H110 zenon_H174 zenon_H17b zenon_H119 zenon_H23 zenon_H163 zenon_Hd4 zenon_H1b zenon_H56 zenon_H133 zenon_H314 zenon_H129 zenon_H12d zenon_He6 zenon_H51 zenon_H116 zenon_Hac zenon_H3b zenon_H2c zenon_H35 zenon_H9c zenon_H339 zenon_H15b zenon_Hdf zenon_H306 zenon_H34f zenon_H104 zenon_H10d zenon_Hb4 zenon_Hd3 zenon_Hd0 zenon_H34 zenon_H2b zenon_H115 zenon_Hf7 zenon_Hf9 zenon_Hc5 zenon_Hb0 zenon_H8f zenon_H1c zenon_H19 zenon_H6a.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.27 apply (zenon_L4_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.27 apply (zenon_L326_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.27 apply (zenon_L50_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.27 apply (zenon_L51_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.27 apply (zenon_L137_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.27 apply (zenon_L10_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.27 apply (zenon_L17_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.27 apply (zenon_L113_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.27 apply (zenon_L288_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H158 ].
% 47.07/47.27 apply (zenon_L389_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H136 | zenon_intro zenon_H159 ].
% 47.07/47.27 apply (zenon_L92_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H152 ].
% 47.07/47.27 apply (zenon_L84_); trivial.
% 47.07/47.27 apply (zenon_L388_); trivial.
% 47.07/47.27 apply (zenon_L84_); trivial.
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 (* end of lemma zenon_L390_ *)
% 47.07/47.27 assert (zenon_L391_ : (~((h2 (e13)) = (e23))) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H367 zenon_H368 zenon_H194.
% 47.07/47.27 cut (((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((h2 (e13)) = (e23))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H367.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H368.
% 47.07/47.27 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H369].
% 47.07/47.27 cut (((h2 (e13)) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H36a].
% 47.07/47.27 congruence.
% 47.07/47.27 apply zenon_H36a. apply refl_equal.
% 47.07/47.27 apply zenon_H369. apply sym_equal. exact zenon_H194.
% 47.07/47.27 (* end of lemma zenon_L391_ *)
% 47.07/47.27 assert (zenon_L392_ : (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> ((op2 (e20) (e23)) = (e23)) -> ((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H36b zenon_Hd7 zenon_H278 zenon_H13 zenon_H14 zenon_H368 zenon_H194.
% 47.07/47.27 cut (((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H36b.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H368.
% 47.07/47.27 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H36c].
% 47.07/47.27 cut (((h2 (e13)) = (h2 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H36d].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((h2 (op1 (e10) (e13))) = (h2 (op1 (e10) (e13))))); [ zenon_intro zenon_H36e | zenon_intro zenon_H36f ].
% 47.07/47.27 cut (((h2 (op1 (e10) (e13))) = (h2 (op1 (e10) (e13)))) = ((h2 (e13)) = (h2 (op1 (e10) (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H36d.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H36e.
% 47.07/47.27 cut (((h2 (op1 (e10) (e13))) = (h2 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H36f].
% 47.07/47.27 cut (((h2 (op1 (e10) (e13))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H370].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Hda].
% 47.07/47.27 congruence.
% 47.07/47.27 exact (zenon_Hda zenon_Hd7).
% 47.07/47.27 apply zenon_H36f. apply refl_equal.
% 47.07/47.27 apply zenon_H36f. apply refl_equal.
% 47.07/47.27 elim (classic ((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [ zenon_intro zenon_H371 | zenon_intro zenon_H372 ].
% 47.07/47.27 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13)))) = ((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e10)) (h2 (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H36c.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H371.
% 47.07/47.27 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H372].
% 47.07/47.27 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H373].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (h2 (e10)) (h2 (e13))) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H373.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H278.
% 47.07/47.27 cut (((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H374].
% 47.07/47.27 cut (((op2 (e20) (e23)) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H375].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [ zenon_intro zenon_H371 | zenon_intro zenon_H372 ].
% 47.07/47.27 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13)))) = ((op2 (e20) (e23)) = (op2 (h2 (e10)) (h2 (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H375.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H371.
% 47.07/47.27 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (h2 (e10)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H372].
% 47.07/47.27 cut (((op2 (h2 (e10)) (h2 (e13))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H376].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 47.07/47.27 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 47.07/47.27 congruence.
% 47.07/47.27 apply (zenon_L1_); trivial.
% 47.07/47.27 apply (zenon_L391_); trivial.
% 47.07/47.27 apply zenon_H372. apply refl_equal.
% 47.07/47.27 apply zenon_H372. apply refl_equal.
% 47.07/47.27 exact (zenon_H374 zenon_H194).
% 47.07/47.27 apply zenon_H372. apply refl_equal.
% 47.07/47.27 apply zenon_H372. apply refl_equal.
% 47.07/47.27 (* end of lemma zenon_L392_ *)
% 47.07/47.27 assert (zenon_L393_ : (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e11)) = (e10)) -> (~((e10) = (e13))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_Hb0 zenon_H2b zenon_H102 zenon_H34 zenon_Hc5 zenon_H115 zenon_Hf7 zenon_H19 zenon_Hb4 zenon_Hd3 zenon_H1c zenon_H6a zenon_Hd0 zenon_Ha9 zenon_H172 zenon_H15b zenon_H150 zenon_H33e zenon_H9c zenon_H32e zenon_H35 zenon_H2c zenon_H3b zenon_Hac zenon_H30e zenon_H149 zenon_H142 zenon_H4b zenon_H130 zenon_H51 zenon_Hed zenon_Hf1 zenon_Hbe zenon_He6 zenon_Hde zenon_H110 zenon_H63 zenon_H174 zenon_H10d zenon_H306 zenon_H119 zenon_Hf9 zenon_H56 zenon_H5f zenon_Hea zenon_H23 zenon_H16f zenon_H30f zenon_H24 zenon_H14c zenon_Hb7 zenon_H8e.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.27 apply (zenon_L50_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.27 apply (zenon_L51_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.27 apply (zenon_L357_); trivial.
% 47.07/47.27 apply (zenon_L30_); trivial.
% 47.07/47.27 (* end of lemma zenon_L393_ *)
% 47.07/47.27 assert (zenon_L394_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H154 zenon_H171 zenon_H42 zenon_H5b zenon_H1b zenon_Hd4 zenon_Hd8 zenon_H48 zenon_Hb7 zenon_H14c zenon_H24 zenon_H30f zenon_H16f zenon_H23 zenon_Hea zenon_H5f zenon_H56 zenon_Hf9 zenon_H119 zenon_H306 zenon_H10d zenon_H174 zenon_H63 zenon_H110 zenon_Hde zenon_He6 zenon_Hbe zenon_Hf1 zenon_Hed zenon_H51 zenon_H130 zenon_H4b zenon_H142 zenon_H149 zenon_H30e zenon_Hac zenon_H3b zenon_H2c zenon_H35 zenon_H32e zenon_H9c zenon_H33e zenon_H150 zenon_H15b zenon_H172 zenon_Ha9 zenon_Hd0 zenon_H6a zenon_H1c zenon_Hd3 zenon_Hb4 zenon_H19 zenon_Hf7 zenon_H115 zenon_Hc5 zenon_H34 zenon_H102 zenon_H2b zenon_Hb0 zenon_H8f zenon_H152.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H13d | zenon_intro zenon_H155 ].
% 47.07/47.27 apply (zenon_L126_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14f | zenon_intro zenon_H156 ].
% 47.07/47.27 apply (zenon_L304_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H8e | zenon_intro zenon_Hd7 ].
% 47.07/47.27 apply (zenon_L393_); trivial.
% 47.07/47.27 apply (zenon_L111_); trivial.
% 47.07/47.27 (* end of lemma zenon_L394_ *)
% 47.07/47.27 assert (zenon_L395_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op2 (e20) (e23)) = (e23)) -> (~((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((e10) = (e13))) -> ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e11) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H157 zenon_H194 zenon_H368 zenon_H14 zenon_H13 zenon_H278 zenon_H36b zenon_H137 zenon_H342 zenon_H154 zenon_H171 zenon_H42 zenon_H5b zenon_H1b zenon_Hd4 zenon_Hd8 zenon_H48 zenon_Hb7 zenon_H14c zenon_H24 zenon_H30f zenon_H16f zenon_H23 zenon_Hea zenon_H5f zenon_H56 zenon_Hf9 zenon_H119 zenon_H306 zenon_H10d zenon_H174 zenon_H63 zenon_H110 zenon_Hde zenon_He6 zenon_Hbe zenon_Hf1 zenon_Hed zenon_H51 zenon_H130 zenon_H4b zenon_H142 zenon_H149 zenon_H30e zenon_Hac zenon_H3b zenon_H2c zenon_H35 zenon_H32e zenon_H9c zenon_H33e zenon_H150 zenon_H15b zenon_H172 zenon_Ha9 zenon_Hd0 zenon_H6a zenon_H1c zenon_Hd3 zenon_Hb4 zenon_H19 zenon_Hf7 zenon_H115 zenon_Hc5 zenon_H34 zenon_H102 zenon_H2b zenon_Hb0 zenon_H8f.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H158 ].
% 47.07/47.27 apply (zenon_L392_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H136 | zenon_intro zenon_H159 ].
% 47.07/47.27 apply (zenon_L92_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H152 ].
% 47.07/47.27 apply (zenon_L349_); trivial.
% 47.07/47.27 apply (zenon_L394_); trivial.
% 47.07/47.27 (* end of lemma zenon_L395_ *)
% 47.07/47.27 assert (zenon_L396_ : (~((op2 (e23) (e23)) = (op2 (e20) (e21)))) -> ((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (e21)) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e20) (e21)) = (e21)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H377 zenon_H1f1 zenon_H19c zenon_H29f.
% 47.07/47.27 cut (((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (e21)) = ((op2 (e23) (e23)) = (op2 (e20) (e21)))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H377.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H1f1.
% 47.07/47.27 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f9].
% 47.07/47.27 cut (((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H328].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.07/47.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (op2 (e21) (e20)) (op2 (e21) (e20))) = (op2 (e23) (e23)))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H328.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H211.
% 47.07/47.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.07/47.27 cut (((op2 (e23) (e23)) = (op2 (op2 (e21) (e20)) (op2 (e21) (e20))))); [idtac | apply NNPP; zenon_intro zenon_H326].
% 47.07/47.27 congruence.
% 47.07/47.27 apply (zenon_L322_); trivial.
% 47.07/47.27 apply zenon_H212. apply refl_equal.
% 47.07/47.27 apply zenon_H212. apply refl_equal.
% 47.07/47.27 apply zenon_H2f9. apply sym_equal. exact zenon_H29f.
% 47.07/47.27 (* end of lemma zenon_L396_ *)
% 47.07/47.27 assert (zenon_L397_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H378 zenon_H1de zenon_H29f zenon_H20a zenon_H278 zenon_H22e zenon_H263 zenon_H229 zenon_H193 zenon_H31e zenon_H19c.
% 47.07/47.27 apply (zenon_or_s _ _ ax11); [ zenon_intro zenon_H1ec | zenon_intro zenon_H217 ].
% 47.07/47.27 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee.
% 47.07/47.27 apply (zenon_and_s _ _ zenon_H1ee). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 47.07/47.27 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.07/47.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H378.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H211.
% 47.07/47.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.07/47.27 cut (((op2 (e23) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H379].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (e23) (e23)) = (op2 (e21) (e23)))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H379.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H29f.
% 47.07/47.27 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f2].
% 47.07/47.27 cut (((op2 (e20) (e21)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H37a].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H211 | zenon_intro zenon_H212 ].
% 47.07/47.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e21)) = (op2 (e23) (e23)))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H37a.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H211.
% 47.07/47.27 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H212].
% 47.07/47.27 cut (((op2 (e23) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H377].
% 47.07/47.27 congruence.
% 47.07/47.27 apply (zenon_L396_); trivial.
% 47.07/47.27 apply zenon_H212. apply refl_equal.
% 47.07/47.27 apply zenon_H212. apply refl_equal.
% 47.07/47.27 apply zenon_H2f2. apply sym_equal. exact zenon_H1de.
% 47.07/47.27 apply zenon_H212. apply refl_equal.
% 47.07/47.27 apply zenon_H212. apply refl_equal.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H218 ].
% 47.07/47.27 apply (zenon_L239_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H209 | zenon_intro zenon_H219 ].
% 47.07/47.27 apply (zenon_L201_); trivial.
% 47.07/47.27 apply (zenon_L312_); trivial.
% 47.07/47.27 (* end of lemma zenon_L397_ *)
% 47.07/47.27 assert (zenon_L398_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e21) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e22) (e21)) = (e20)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e21) = (e22))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((e20) = (e23))) -> (~((e20) = (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e21) (e21))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e21) (e20)) = (e23)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H2d3 zenon_H1aa zenon_H1a3 zenon_H1b0 zenon_H2d4 zenon_H1d3 zenon_H1c7 zenon_H194 zenon_H1ea zenon_H2fc zenon_H1b9 zenon_H1c3 zenon_H1d0 zenon_H2a8 zenon_H299 zenon_H322 zenon_H19d zenon_H1df zenon_H234 zenon_H183 zenon_H14 zenon_H378 zenon_H29f zenon_H20a zenon_H278 zenon_H229 zenon_H193 zenon_H19c.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.27 apply (zenon_L219_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.27 apply (zenon_L163_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.27 apply (zenon_L253_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2e2 ].
% 47.07/47.27 apply (zenon_L220_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2e3 ].
% 47.07/47.27 apply (zenon_L221_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H22e ].
% 47.07/47.27 apply (zenon_L168_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2fd ].
% 47.07/47.27 apply (zenon_L308_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2fd); [ zenon_intro zenon_H296 | zenon_intro zenon_H2fe ].
% 47.07/47.27 apply (zenon_L253_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H297 | zenon_intro zenon_H263 ].
% 47.07/47.27 apply (zenon_L263_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H323 ].
% 47.07/47.27 apply (zenon_L260_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H1dd | zenon_intro zenon_H324 ].
% 47.07/47.27 apply (zenon_L166_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H233 | zenon_intro zenon_H31e ].
% 47.07/47.27 apply (zenon_L179_); trivial.
% 47.07/47.27 apply (zenon_L397_); trivial.
% 47.07/47.27 (* end of lemma zenon_L398_ *)
% 47.07/47.27 assert (zenon_L399_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/((op2 (e23) (e21)) = (e20))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((e20) = (e22))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e20) = (e23))) -> (((op2 (e20) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e20))\/((op2 (e23) (e23)) = (e20))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (e22)) = (e20)) -> ((op2 (e20) (e22)) = (e22)) -> (~((e21) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e21) = (e23))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e20)) = (e23))\/(((op2 (e21) (e20)) = (e23))\/(((op2 (e22) (e20)) = (e23))\/((op2 (e23) (e20)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H2bd zenon_H185 zenon_H1c4 zenon_H19c zenon_H193 zenon_H229 zenon_H278 zenon_H20a zenon_H29f zenon_H378 zenon_H234 zenon_H1df zenon_H19d zenon_H322 zenon_H299 zenon_H2a8 zenon_H1d0 zenon_H1c3 zenon_H1b9 zenon_H2fc zenon_H194 zenon_H1c7 zenon_H1d3 zenon_H2d4 zenon_H1b0 zenon_H1a3 zenon_H1aa zenon_H2d3 zenon_H14 zenon_H183 zenon_H1e4.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.27 apply (zenon_L145_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.27 apply (zenon_L160_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.27 apply (zenon_L398_); trivial.
% 47.07/47.27 apply (zenon_L167_); trivial.
% 47.07/47.27 (* end of lemma zenon_L399_ *)
% 47.07/47.27 assert (zenon_L400_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((e11) = (e13))) -> ((op1 (e11) (e10)) = (e13)) -> (~((e11) = (e12))) -> ((e12) = (op1 (e11) (e11))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((h2 (e11)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> (~((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))) -> ((op1 (e11) (e13)) = (e10)) -> (~((e10) = (e11))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H30e zenon_Ha9 zenon_H34 zenon_H51 zenon_H19 zenon_H183 zenon_H32a zenon_H37b zenon_H296 zenon_H37c zenon_H172 zenon_H15b.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H30e); [ zenon_intro zenon_He1 | zenon_intro zenon_H310 ].
% 47.07/47.27 apply (zenon_L281_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H145 | zenon_intro zenon_H311 ].
% 47.07/47.27 apply (zenon_L95_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H311); [ zenon_intro zenon_He2 | zenon_intro zenon_H175 ].
% 47.07/47.27 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H37c.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H37b.
% 47.07/47.27 cut (((e21) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H37d].
% 47.07/47.27 cut (((h2 (e11)) = (h2 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H37e].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((h2 (op1 (e11) (e12))) = (h2 (op1 (e11) (e12))))); [ zenon_intro zenon_H37f | zenon_intro zenon_H380 ].
% 47.07/47.27 cut (((h2 (op1 (e11) (e12))) = (h2 (op1 (e11) (e12)))) = ((h2 (e11)) = (h2 (op1 (e11) (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H37e.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H37f.
% 47.07/47.27 cut (((h2 (op1 (e11) (e12))) = (h2 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H380].
% 47.07/47.27 cut (((h2 (op1 (e11) (e12))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H381].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op1 (e11) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H382].
% 47.07/47.27 congruence.
% 47.07/47.27 exact (zenon_H382 zenon_He2).
% 47.07/47.27 apply zenon_H380. apply refl_equal.
% 47.07/47.27 apply zenon_H380. apply refl_equal.
% 47.07/47.27 elim (classic ((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [ zenon_intro zenon_H383 | zenon_intro zenon_H384 ].
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12)))) = ((e21) = (op2 (h2 (e11)) (h2 (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H37d.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H383.
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H384].
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e12))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H385].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op2 (e21) (e22)) = (e21)) = ((op2 (h2 (e11)) (h2 (e12))) = (e21))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H385.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H296.
% 47.07/47.27 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.07/47.27 cut (((op2 (e21) (e22)) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H386].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [ zenon_intro zenon_H383 | zenon_intro zenon_H384 ].
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12)))) = ((op2 (e21) (e22)) = (op2 (h2 (e11)) (h2 (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H386.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H383.
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (h2 (e11)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H384].
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H387].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 47.07/47.27 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H388].
% 47.07/47.27 congruence.
% 47.07/47.27 exact (zenon_H388 zenon_H37b).
% 47.07/47.27 apply (zenon_L325_); trivial.
% 47.07/47.27 apply zenon_H384. apply refl_equal.
% 47.07/47.27 apply zenon_H384. apply refl_equal.
% 47.07/47.27 apply zenon_H181. apply refl_equal.
% 47.07/47.27 apply zenon_H384. apply refl_equal.
% 47.07/47.27 apply zenon_H384. apply refl_equal.
% 47.07/47.27 apply (zenon_L287_); trivial.
% 47.07/47.27 (* end of lemma zenon_L400_ *)
% 47.07/47.27 assert (zenon_L401_ : (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((e11) = (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) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((e11) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_Hd8 zenon_H339 zenon_H5c zenon_H116 zenon_H17b zenon_H34 zenon_H2b zenon_Hc5 zenon_Hd7 zenon_H8f zenon_Hf9 zenon_Hf7 zenon_H119 zenon_H5b zenon_H338 zenon_Hb0 zenon_H306 zenon_Hdf zenon_H10d zenon_H177 zenon_H2c zenon_H137 zenon_H35 zenon_H3b zenon_Hac zenon_H9c zenon_Hf1 zenon_Hed zenon_H51 zenon_H130 zenon_H129 zenon_H115 zenon_Hd0 zenon_Hd3 zenon_Hb4 zenon_H104 zenon_H34f zenon_H15b zenon_He6 zenon_H12d zenon_H314 zenon_H133 zenon_H56 zenon_H1b zenon_Hd4 zenon_H163 zenon_H23 zenon_H174 zenon_H110 zenon_H344 zenon_H335 zenon_H164 zenon_H42 zenon_H345 zenon_H346 zenon_H4b zenon_H33f zenon_Ha9 zenon_H150 zenon_H33e zenon_H11b zenon_H63 zenon_H48 zenon_Hfd zenon_H101 zenon_H30e zenon_H149 zenon_H142 zenon_Hbe zenon_Hde zenon_Hea zenon_H16f zenon_H30f zenon_H14c zenon_Hb7 zenon_H154 zenon_H364 zenon_H157 zenon_H11f zenon_H125 zenon_H13e zenon_H1c zenon_H19 zenon_H6a.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.27 apply (zenon_L4_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.27 apply (zenon_L326_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.27 apply (zenon_L50_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.27 apply (zenon_L51_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.27 apply (zenon_L137_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.27 apply (zenon_L10_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.27 apply (zenon_L327_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.27 apply (zenon_L113_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.27 apply (zenon_L288_); trivial.
% 47.07/47.27 apply (zenon_L389_); trivial.
% 47.07/47.27 apply (zenon_L84_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.07/47.27 apply (zenon_L87_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.07/47.27 apply (zenon_L327_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.27 apply (zenon_L50_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.27 apply (zenon_L51_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.27 apply (zenon_L137_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.27 apply (zenon_L10_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.27 apply (zenon_L327_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.27 apply (zenon_L385_); trivial.
% 47.07/47.27 apply (zenon_L84_); trivial.
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 (* end of lemma zenon_L401_ *)
% 47.07/47.27 assert (zenon_L402_ : (~((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))) -> ((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op1 (e11) (e13)) = (e10)) -> ((op2 (e21) (e23)) = (e20)) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e11)) = (e21)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H389 zenon_H13 zenon_H172 zenon_H1dd zenon_H14 zenon_H37b zenon_H368 zenon_H194.
% 47.07/47.27 cut (((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) = ((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H389.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H13.
% 47.07/47.27 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H38a].
% 47.07/47.27 cut (((h2 (e10)) = (h2 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H38b].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((h2 (op1 (e11) (e13))) = (h2 (op1 (e11) (e13))))); [ zenon_intro zenon_H38c | zenon_intro zenon_H38d ].
% 47.07/47.27 cut (((h2 (op1 (e11) (e13))) = (h2 (op1 (e11) (e13)))) = ((h2 (e10)) = (h2 (op1 (e11) (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H38b.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H38c.
% 47.07/47.27 cut (((h2 (op1 (e11) (e13))) = (h2 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H38d].
% 47.07/47.27 cut (((h2 (op1 (e11) (e13))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H38e].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op1 (e11) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H38f].
% 47.07/47.27 congruence.
% 47.07/47.27 exact (zenon_H38f zenon_H172).
% 47.07/47.27 apply zenon_H38d. apply refl_equal.
% 47.07/47.27 apply zenon_H38d. apply refl_equal.
% 47.07/47.27 elim (classic ((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [ zenon_intro zenon_H390 | zenon_intro zenon_H391 ].
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13)))) = ((op2 (op2 (e21) (e21)) (e21)) = (op2 (h2 (e11)) (h2 (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H38a.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H390.
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H391].
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H392].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op2 (e21) (e23)) = (e20)) = ((op2 (h2 (e11)) (h2 (e13))) = (op2 (op2 (e21) (e21)) (e21)))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H392.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H1dd.
% 47.07/47.27 cut (((e20) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 47.07/47.27 cut (((op2 (e21) (e23)) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H394].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [ zenon_intro zenon_H390 | zenon_intro zenon_H391 ].
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13)))) = ((op2 (e21) (e23)) = (op2 (h2 (e11)) (h2 (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H394.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H390.
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (h2 (e11)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H391].
% 47.07/47.27 cut (((op2 (h2 (e11)) (h2 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H395].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 47.07/47.27 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H388].
% 47.07/47.27 congruence.
% 47.07/47.27 exact (zenon_H388 zenon_H37b).
% 47.07/47.27 apply (zenon_L391_); trivial.
% 47.07/47.27 apply zenon_H391. apply refl_equal.
% 47.07/47.27 apply zenon_H391. apply refl_equal.
% 47.07/47.27 exact (zenon_H393 zenon_H14).
% 47.07/47.27 apply zenon_H391. apply refl_equal.
% 47.07/47.27 apply zenon_H391. apply refl_equal.
% 47.07/47.27 (* end of lemma zenon_L402_ *)
% 47.07/47.27 assert (zenon_L403_ : (~((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op2 (e22) (e22)) = (e23)) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H396 zenon_H368 zenon_H8b zenon_H207 zenon_H194 zenon_H32a zenon_H183.
% 47.07/47.27 cut (((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H396.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H368.
% 47.07/47.27 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H397].
% 47.07/47.27 cut (((h2 (e13)) = (h2 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H398].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((h2 (op1 (e12) (e12))) = (h2 (op1 (e12) (e12))))); [ zenon_intro zenon_H399 | zenon_intro zenon_H39a ].
% 47.07/47.27 cut (((h2 (op1 (e12) (e12))) = (h2 (op1 (e12) (e12)))) = ((h2 (e13)) = (h2 (op1 (e12) (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H398.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H399.
% 47.07/47.27 cut (((h2 (op1 (e12) (e12))) = (h2 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H39a].
% 47.07/47.27 cut (((h2 (op1 (e12) (e12))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H39b].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op1 (e12) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H39c].
% 47.07/47.27 congruence.
% 47.07/47.27 exact (zenon_H39c zenon_H8b).
% 47.07/47.27 apply zenon_H39a. apply refl_equal.
% 47.07/47.27 apply zenon_H39a. apply refl_equal.
% 47.07/47.27 elim (classic ((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [ zenon_intro zenon_H39d | zenon_intro zenon_H39e ].
% 47.07/47.27 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12)))) = ((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e12)) (h2 (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H397.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H39d.
% 47.07/47.27 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 47.07/47.27 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H39f].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op2 (e22) (e22)) = (e23)) = ((op2 (h2 (e12)) (h2 (e12))) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H39f.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H207.
% 47.07/47.27 cut (((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H374].
% 47.07/47.27 cut (((op2 (e22) (e22)) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3a0].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [ zenon_intro zenon_H39d | zenon_intro zenon_H39e ].
% 47.07/47.27 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12)))) = ((op2 (e22) (e22)) = (op2 (h2 (e12)) (h2 (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3a0.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H39d.
% 47.07/47.27 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (h2 (e12)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H39e].
% 47.07/47.27 cut (((op2 (h2 (e12)) (h2 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3a1].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 47.07/47.27 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 47.07/47.27 congruence.
% 47.07/47.27 apply (zenon_L325_); trivial.
% 47.07/47.27 apply (zenon_L325_); trivial.
% 47.07/47.27 apply zenon_H39e. apply refl_equal.
% 47.07/47.27 apply zenon_H39e. apply refl_equal.
% 47.07/47.27 exact (zenon_H374 zenon_H194).
% 47.07/47.27 apply zenon_H39e. apply refl_equal.
% 47.07/47.27 apply zenon_H39e. apply refl_equal.
% 47.07/47.27 (* end of lemma zenon_L403_ *)
% 47.07/47.27 assert (zenon_L404_ : ((h2 (e12)) = (op2 (e21) (e21))) -> ((op1 (e13) (e10)) = (e12)) -> ((e22) = (op2 (e21) (e21))) -> (~((e22) = (h2 (op1 (e13) (e10))))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H32a zenon_Hf7 zenon_H183 zenon_H3a2.
% 47.07/47.27 elim (classic ((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10))))); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H3a4 ].
% 47.07/47.27 cut (((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10)))) = ((e22) = (h2 (op1 (e13) (e10))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3a2.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3a3.
% 47.07/47.27 cut (((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a4].
% 47.07/47.27 cut (((h2 (op1 (e13) (e10))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H3a5].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((h2 (e12)) = (op2 (e21) (e21))) = ((h2 (op1 (e13) (e10))) = (e22))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3a5.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H32a.
% 47.07/47.27 cut (((op2 (e21) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H184].
% 47.07/47.27 cut (((h2 (e12)) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a6].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10))))); [ zenon_intro zenon_H3a3 | zenon_intro zenon_H3a4 ].
% 47.07/47.27 cut (((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10)))) = ((h2 (e12)) = (h2 (op1 (e13) (e10))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3a6.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3a3.
% 47.07/47.27 cut (((h2 (op1 (e13) (e10))) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a4].
% 47.07/47.27 cut (((h2 (op1 (e13) (e10))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H3a7].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op1 (e13) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf8].
% 47.07/47.27 congruence.
% 47.07/47.27 exact (zenon_Hf8 zenon_Hf7).
% 47.07/47.27 apply zenon_H3a4. apply refl_equal.
% 47.07/47.27 apply zenon_H3a4. apply refl_equal.
% 47.07/47.27 apply zenon_H184. apply sym_equal. exact zenon_H183.
% 47.07/47.27 apply zenon_H3a4. apply refl_equal.
% 47.07/47.27 apply zenon_H3a4. apply refl_equal.
% 47.07/47.27 (* end of lemma zenon_L404_ *)
% 47.07/47.27 assert (zenon_L405_ : (~((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))) -> ((op1 (e13) (e11)) = (e13)) -> ((op2 (e23) (e21)) = (e23)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e11)) = (e21)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H3a8 zenon_Hb5 zenon_H22e zenon_H368 zenon_H194 zenon_H37b.
% 47.07/47.27 cut (((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3a8.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H368.
% 47.07/47.27 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3a9].
% 47.07/47.27 cut (((h2 (e13)) = (h2 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3aa].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((h2 (op1 (e13) (e11))) = (h2 (op1 (e13) (e11))))); [ zenon_intro zenon_H3ab | zenon_intro zenon_H3ac ].
% 47.07/47.27 cut (((h2 (op1 (e13) (e11))) = (h2 (op1 (e13) (e11)))) = ((h2 (e13)) = (h2 (op1 (e13) (e11))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3aa.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3ab.
% 47.07/47.27 cut (((h2 (op1 (e13) (e11))) = (h2 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3ac].
% 47.07/47.27 cut (((h2 (op1 (e13) (e11))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H3ad].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op1 (e13) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H3ae].
% 47.07/47.27 congruence.
% 47.07/47.27 exact (zenon_H3ae zenon_Hb5).
% 47.07/47.27 apply zenon_H3ac. apply refl_equal.
% 47.07/47.27 apply zenon_H3ac. apply refl_equal.
% 47.07/47.27 elim (classic ((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [ zenon_intro zenon_H3af | zenon_intro zenon_H3b0 ].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11)))) = ((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e13)) (h2 (e11))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3a9.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3af.
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b0].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H3b1].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op2 (e23) (e21)) = (e23)) = ((op2 (h2 (e13)) (h2 (e11))) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3b1.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H22e.
% 47.07/47.27 cut (((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21))))); [idtac | apply NNPP; zenon_intro zenon_H374].
% 47.07/47.27 cut (((op2 (e23) (e21)) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b2].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [ zenon_intro zenon_H3af | zenon_intro zenon_H3b0 ].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11)))) = ((op2 (e23) (e21)) = (op2 (h2 (e13)) (h2 (e11))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3b2.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3af.
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (h2 (e13)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H3b0].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H3b3].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H388].
% 47.07/47.27 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 47.07/47.27 congruence.
% 47.07/47.27 apply (zenon_L391_); trivial.
% 47.07/47.27 exact (zenon_H388 zenon_H37b).
% 47.07/47.27 apply zenon_H3b0. apply refl_equal.
% 47.07/47.27 apply zenon_H3b0. apply refl_equal.
% 47.07/47.27 exact (zenon_H374 zenon_H194).
% 47.07/47.27 apply zenon_H3b0. apply refl_equal.
% 47.07/47.27 apply zenon_H3b0. apply refl_equal.
% 47.07/47.27 (* end of lemma zenon_L405_ *)
% 47.07/47.27 assert (zenon_L406_ : ((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) -> ((op1 (e13) (e12)) = (e10)) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((e20) = (h2 (op1 (e13) (e12))))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H13 zenon_H102 zenon_H14 zenon_H3b4.
% 47.07/47.27 elim (classic ((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [ zenon_intro zenon_H3b5 | zenon_intro zenon_H3b6 ].
% 47.07/47.27 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12)))) = ((e20) = (h2 (op1 (e13) (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3b4.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3b5.
% 47.07/47.27 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3b6].
% 47.07/47.27 cut (((h2 (op1 (e13) (e12))) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3b7].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) = ((h2 (op1 (e13) (e12))) = (e20))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3b7.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H13.
% 47.07/47.27 cut (((op2 (op2 (e21) (e21)) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15].
% 47.07/47.27 cut (((h2 (e10)) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3b8].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [ zenon_intro zenon_H3b5 | zenon_intro zenon_H3b6 ].
% 47.07/47.27 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12)))) = ((h2 (e10)) = (h2 (op1 (e13) (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3b8.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3b5.
% 47.07/47.27 cut (((h2 (op1 (e13) (e12))) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3b6].
% 47.07/47.27 cut (((h2 (op1 (e13) (e12))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3b9].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H3ba].
% 47.07/47.27 congruence.
% 47.07/47.27 exact (zenon_H3ba zenon_H102).
% 47.07/47.27 apply zenon_H3b6. apply refl_equal.
% 47.07/47.27 apply zenon_H3b6. apply refl_equal.
% 47.07/47.27 apply zenon_H15. apply sym_equal. exact zenon_H14.
% 47.07/47.27 apply zenon_H3b6. apply refl_equal.
% 47.07/47.27 apply zenon_H3b6. apply refl_equal.
% 47.07/47.27 (* end of lemma zenon_L406_ *)
% 47.07/47.27 assert (zenon_L407_ : ((op2 (e23) (e22)) = (e20)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((op1 (e13) (e12)) = (e10)) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H260 zenon_H368 zenon_H194 zenon_H32a zenon_H183 zenon_H13 zenon_H14 zenon_H102 zenon_H3bb.
% 47.07/47.27 elim (classic ((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [ zenon_intro zenon_H3bc | zenon_intro zenon_H3bd ].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12)))) = ((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3bb.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3bc.
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3bd].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e12))) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3be].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op2 (e23) (e22)) = (e20)) = ((op2 (h2 (e13)) (h2 (e12))) = (h2 (op1 (e13) (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3be.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H260.
% 47.07/47.27 cut (((e20) = (h2 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3b4].
% 47.07/47.27 cut (((op2 (e23) (e22)) = (op2 (h2 (e13)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3bf].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [ zenon_intro zenon_H3bc | zenon_intro zenon_H3bd ].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12)))) = ((op2 (e23) (e22)) = (op2 (h2 (e13)) (h2 (e12))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3bf.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3bc.
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (h2 (e13)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H3bd].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3c0].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 47.07/47.27 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 47.07/47.27 congruence.
% 47.07/47.27 apply (zenon_L391_); trivial.
% 47.07/47.27 apply (zenon_L325_); trivial.
% 47.07/47.27 apply zenon_H3bd. apply refl_equal.
% 47.07/47.27 apply zenon_H3bd. apply refl_equal.
% 47.07/47.27 apply (zenon_L406_); trivial.
% 47.07/47.27 apply zenon_H3bd. apply refl_equal.
% 47.07/47.27 apply zenon_H3bd. apply refl_equal.
% 47.07/47.27 (* end of lemma zenon_L407_ *)
% 47.07/47.27 assert (zenon_L408_ : (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e12) = (e13))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e10)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H339 zenon_Hd8 zenon_H34 zenon_H2b zenon_H8f zenon_Hd7 zenon_Hb5 zenon_Hc5 zenon_Hf9 zenon_H125 zenon_H11b zenon_H11f zenon_Hb0 zenon_H115 zenon_H101 zenon_H10d zenon_H5c zenon_H116 zenon_Hd4 zenon_Hb4 zenon_H56 zenon_H1b zenon_Hd0 zenon_Hfd zenon_Hed zenon_H63 zenon_H110 zenon_H2c zenon_H3b zenon_Hac zenon_He6 zenon_H119 zenon_H12d zenon_Hf1 zenon_H51 zenon_H130 zenon_H6a zenon_H19 zenon_H1c zenon_H3bb zenon_H14 zenon_H13 zenon_H183 zenon_H32a zenon_H194 zenon_H368 zenon_H260 zenon_H338 zenon_H172.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.27 apply (zenon_L90_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.27 apply (zenon_L407_); trivial.
% 47.07/47.27 apply (zenon_L332_); trivial.
% 47.07/47.27 (* end of lemma zenon_L408_ *)
% 47.07/47.27 assert (zenon_L409_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e12) (e12)) = (e13)) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e12)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H364 zenon_H42 zenon_H2c zenon_H119 zenon_H5b zenon_H338 zenon_H175 zenon_H306 zenon_Hdf zenon_H10d zenon_H34 zenon_H30a zenon_H2b zenon_H8b zenon_Hb8 zenon_Hc5 zenon_Hf9 zenon_Hf7 zenon_H19 zenon_Hb0 zenon_Hb4 zenon_Hd3 zenon_H1c zenon_H6a zenon_Hd0 zenon_H8f zenon_Hd7.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H41 | zenon_intro zenon_H365 ].
% 47.07/47.27 apply (zenon_L11_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H366 ].
% 47.07/47.27 apply (zenon_L384_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H152 ].
% 47.07/47.27 apply (zenon_L386_); trivial.
% 47.07/47.27 apply (zenon_L111_); trivial.
% 47.07/47.27 (* end of lemma zenon_L409_ *)
% 47.07/47.27 assert (zenon_L410_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op2 (e23) (e22)) = (e20)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e13) (e11)) = (e13)) -> (~((e12) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H17b zenon_H260 zenon_H368 zenon_H194 zenon_H32a zenon_H183 zenon_H13 zenon_H14 zenon_H3bb zenon_H130 zenon_H51 zenon_Hf1 zenon_H12d zenon_He6 zenon_Hac zenon_H3b zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_H1b zenon_H56 zenon_Hd4 zenon_H116 zenon_H5c zenon_H101 zenon_H115 zenon_H11f zenon_H11b zenon_H125 zenon_Hb5 zenon_Hd8 zenon_H339 zenon_Hd7 zenon_H8f zenon_Hd0 zenon_H6a zenon_Hd3 zenon_Hb4 zenon_Hb0 zenon_Hf7 zenon_Hf9 zenon_Hc5 zenon_Hb8 zenon_H8b zenon_H2b zenon_H30a zenon_H34 zenon_H10d zenon_Hdf zenon_H306 zenon_H338 zenon_H5b zenon_H119 zenon_H42 zenon_H364 zenon_H177 zenon_H19 zenon_H2c zenon_H1c zenon_H137.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H172 | zenon_intro zenon_H17c ].
% 47.07/47.27 apply (zenon_L408_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H175 | zenon_intro zenon_H17d ].
% 47.07/47.27 apply (zenon_L409_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H176 | zenon_intro zenon_H136 ].
% 47.07/47.27 apply (zenon_L132_); trivial.
% 47.07/47.27 apply (zenon_L92_); trivial.
% 47.07/47.27 (* end of lemma zenon_L410_ *)
% 47.07/47.27 assert (zenon_L411_ : ((op1 (e10) (e12)) = (e12)) -> ((op1 (e11) (e13)) = (e10)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op2 (e23) (e22)) = (e20)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e12) = (e13))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H5b zenon_H172 zenon_H338 zenon_H260 zenon_H368 zenon_H194 zenon_H32a zenon_H183 zenon_H13 zenon_H14 zenon_H3bb zenon_H1c zenon_H19 zenon_H6a zenon_H157 zenon_H12d zenon_He6 zenon_H11f zenon_H11b zenon_H125 zenon_H137 zenon_H154 zenon_H14c zenon_H13e zenon_H142 zenon_H119 zenon_H9c zenon_H42 zenon_H3b zenon_H149 zenon_H150 zenon_H4b zenon_Hac zenon_H5f zenon_H48 zenon_Hb7 zenon_H116 zenon_H5c zenon_H110 zenon_H63 zenon_Hed zenon_Hfd zenon_H10d zenon_H101 zenon_H115 zenon_Hb0 zenon_H34 zenon_H2b zenon_Hc5 zenon_Hf9 zenon_Hf1 zenon_H51 zenon_H130 zenon_Hd4 zenon_Hb4 zenon_H56 zenon_H1b zenon_Hd0 zenon_H2c zenon_H129 zenon_H104 zenon_H133 zenon_H8f zenon_H339 zenon_Hd8.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.27 apply (zenon_L50_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.27 apply (zenon_L51_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.27 apply (zenon_L137_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.27 apply (zenon_L10_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.27 apply (zenon_L17_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.27 apply (zenon_L113_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.27 apply (zenon_L407_); trivial.
% 47.07/47.27 apply (zenon_L332_); trivial.
% 47.07/47.27 apply (zenon_L84_); trivial.
% 47.07/47.27 (* end of lemma zenon_L411_ *)
% 47.07/47.27 assert (zenon_L412_ : (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (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 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((e10) = (e13))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e12) = (e13))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (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)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))) -> ((e20) = (op2 (op2 (e21) (e21)) (e21))) -> ((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) -> ((e22) = (op2 (e21) (e21))) -> ((h2 (e12)) = (op2 (e21) (e21))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e23) (e22)) = (e20)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H6a zenon_H19 zenon_H133 zenon_H104 zenon_Hb7 zenon_H48 zenon_H4b zenon_H150 zenon_H149 zenon_H9c zenon_H142 zenon_H13e zenon_H14c zenon_H154 zenon_H137 zenon_H157 zenon_H5b zenon_H129 zenon_H35 zenon_H339 zenon_Hd8 zenon_H2b zenon_H8f zenon_Hd7 zenon_Hc5 zenon_Hf9 zenon_H125 zenon_H11b zenon_H11f zenon_Hb0 zenon_H115 zenon_H101 zenon_H10d zenon_H5c zenon_H116 zenon_Hd4 zenon_Hb4 zenon_H56 zenon_H1b zenon_Hd0 zenon_Hfd zenon_Hed zenon_H63 zenon_H110 zenon_Hac zenon_He6 zenon_H119 zenon_H12d zenon_Hf1 zenon_H51 zenon_H130 zenon_H3bb zenon_H14 zenon_H13 zenon_H183 zenon_H32a zenon_H194 zenon_H368 zenon_H260 zenon_H338 zenon_H344 zenon_H17b zenon_Hd3 zenon_Hf7 zenon_H306 zenon_H364 zenon_H177 zenon_H345 zenon_H3b zenon_H2c zenon_H1c zenon_H42.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.27 apply (zenon_L7_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.27 apply (zenon_L9_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.27 apply (zenon_L326_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.27 apply (zenon_L4_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.27 apply (zenon_L326_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.27 apply (zenon_L50_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.27 apply (zenon_L51_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.27 apply (zenon_L137_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.27 apply (zenon_L10_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.27 apply (zenon_L327_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.27 apply (zenon_L113_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.27 apply (zenon_L288_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H364); [ zenon_intro zenon_H41 | zenon_intro zenon_H365 ].
% 47.07/47.27 apply (zenon_L11_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H365); [ zenon_intro zenon_Hb5 | zenon_intro zenon_H366 ].
% 47.07/47.27 apply (zenon_L410_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H366); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H152 ].
% 47.07/47.27 apply (zenon_L386_); trivial.
% 47.07/47.27 apply (zenon_L111_); trivial.
% 47.07/47.27 apply (zenon_L84_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.07/47.27 apply (zenon_L87_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.07/47.27 apply (zenon_L327_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.27 apply (zenon_L50_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.27 apply (zenon_L51_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.27 apply (zenon_L137_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.27 apply (zenon_L10_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.27 apply (zenon_L327_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.27 apply (zenon_L71_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.27 apply (zenon_L407_); trivial.
% 47.07/47.27 apply (zenon_L410_); trivial.
% 47.07/47.27 apply (zenon_L84_); trivial.
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.27 apply (zenon_L4_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.27 apply (zenon_L326_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.07/47.27 apply (zenon_L411_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.07/47.27 apply (zenon_L87_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.07/47.27 apply (zenon_L327_); trivial.
% 47.07/47.27 apply (zenon_L408_); trivial.
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.27 apply (zenon_L10_); trivial.
% 47.07/47.27 apply (zenon_L11_); trivial.
% 47.07/47.27 (* end of lemma zenon_L412_ *)
% 47.07/47.27 assert (zenon_L413_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e13)) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e13) (e11)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e13)) = (e12)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H110 zenon_H63 zenon_H1c zenon_H175 zenon_H174 zenon_H8b zenon_H19 zenon_Hb0 zenon_H5c zenon_H116 zenon_H10d zenon_H101 zenon_H104 zenon_H5b zenon_H119 zenon_H34 zenon_H71 zenon_H2b zenon_H56 zenon_H5f zenon_H7d zenon_Hc5 zenon_Hf9 zenon_Hff.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H62 | zenon_intro zenon_H111 ].
% 47.07/47.27 apply (zenon_L18_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H112 ].
% 47.07/47.27 apply (zenon_L127_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Ha8 ].
% 47.07/47.27 apply (zenon_L99_); trivial.
% 47.07/47.27 apply (zenon_L128_); trivial.
% 47.07/47.27 (* end of lemma zenon_L413_ *)
% 47.07/47.27 assert (zenon_L414_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e13)) = (e12)) -> ((op1 (e12) (e13)) = (e13)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_Hd0 zenon_H6a zenon_Hf9 zenon_H5f zenon_H56 zenon_H119 zenon_H5b zenon_H104 zenon_H101 zenon_H10d zenon_H116 zenon_H5c zenon_H8b zenon_H174 zenon_H175 zenon_H1c zenon_H63 zenon_H110 zenon_H19 zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_H105 zenon_Hb0 zenon_H115 zenon_Hff zenon_Ha8.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.07/47.27 apply (zenon_L413_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.07/47.27 apply (zenon_L28_); trivial.
% 47.07/47.27 apply (zenon_L65_); trivial.
% 47.07/47.27 (* end of lemma zenon_L414_ *)
% 47.07/47.27 assert (zenon_L415_ : (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> ((op1 (e12) (e12)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_Hd0 zenon_H6a zenon_Hf9 zenon_H5f zenon_H56 zenon_H119 zenon_H5b zenon_H104 zenon_H101 zenon_H10d zenon_H116 zenon_H5c zenon_H8b zenon_H174 zenon_H175 zenon_H1c zenon_H63 zenon_H110 zenon_H19 zenon_H34 zenon_H71 zenon_H2b zenon_Hc5 zenon_H105 zenon_Hb0 zenon_H115.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.07/47.27 apply (zenon_L52_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.07/47.27 apply (zenon_L28_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.07/47.27 apply (zenon_L70_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H62 | zenon_intro zenon_H111 ].
% 47.07/47.27 apply (zenon_L18_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H112 ].
% 47.07/47.27 apply (zenon_L127_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Ha8 ].
% 47.07/47.27 apply (zenon_L55_); trivial.
% 47.07/47.27 apply (zenon_L414_); trivial.
% 47.07/47.27 (* end of lemma zenon_L415_ *)
% 47.07/47.27 assert (zenon_L416_ : ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (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 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e11))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H5b zenon_H119 zenon_H110 zenon_H63 zenon_H175 zenon_H174 zenon_H116 zenon_H51 zenon_H1c zenon_H19 zenon_H6a zenon_H15b zenon_H339 zenon_H10d zenon_Hdf zenon_H306 zenon_H34 zenon_H30a zenon_H2b zenon_H115 zenon_H15a zenon_Hb0 zenon_Hb5 zenon_Hc5 zenon_Hf9.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H117 ].
% 47.07/47.27 apply (zenon_L328_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_Haf | zenon_intro zenon_H118 ].
% 47.07/47.27 apply (zenon_L28_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hff ].
% 47.07/47.27 apply (zenon_L70_); trivial.
% 47.07/47.27 apply (zenon_L338_); trivial.
% 47.07/47.27 (* end of lemma zenon_L416_ *)
% 47.07/47.27 assert (zenon_L417_ : ((op2 (e23) (e23)) = (e21)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> (~((e21) = (op2 (h2 (e13)) (h2 (e13))))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H243 zenon_H368 zenon_H194 zenon_H3c1.
% 47.07/47.27 elim (classic ((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13))))); [ zenon_intro zenon_H3c2 | zenon_intro zenon_H3c3 ].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13)))) = ((e21) = (op2 (h2 (e13)) (h2 (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3c1.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3c2.
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3c3].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e13))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H3c4].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op2 (e23) (e23)) = (e21)) = ((op2 (h2 (e13)) (h2 (e13))) = (e21))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3c4.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H243.
% 47.07/47.27 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.07/47.27 cut (((op2 (e23) (e23)) = (op2 (h2 (e13)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3c5].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13))))); [ zenon_intro zenon_H3c2 | zenon_intro zenon_H3c3 ].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13)))) = ((op2 (e23) (e23)) = (op2 (h2 (e13)) (h2 (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3c5.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3c2.
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (h2 (e13)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3c3].
% 47.07/47.27 cut (((op2 (h2 (e13)) (h2 (e13))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H3c6].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 47.07/47.27 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 47.07/47.27 congruence.
% 47.07/47.27 apply (zenon_L391_); trivial.
% 47.07/47.27 apply (zenon_L391_); trivial.
% 47.07/47.27 apply zenon_H3c3. apply refl_equal.
% 47.07/47.27 apply zenon_H3c3. apply refl_equal.
% 47.07/47.27 apply zenon_H181. apply refl_equal.
% 47.07/47.27 apply zenon_H3c3. apply refl_equal.
% 47.07/47.27 apply zenon_H3c3. apply refl_equal.
% 47.07/47.27 (* end of lemma zenon_L417_ *)
% 47.07/47.27 assert (zenon_L418_ : (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op1 (e13) (e13)) = (e11)) -> ((op2 (e23) (e23)) = (e21)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H3c7 zenon_H37b zenon_H342 zenon_H243 zenon_H368 zenon_H194.
% 47.07/47.27 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3c7.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H37b.
% 47.07/47.27 cut (((e21) = (op2 (h2 (e13)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3c1].
% 47.07/47.27 cut (((h2 (e11)) = (h2 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3c8].
% 47.07/47.27 congruence.
% 47.07/47.27 elim (classic ((h2 (op1 (e13) (e13))) = (h2 (op1 (e13) (e13))))); [ zenon_intro zenon_H3c9 | zenon_intro zenon_H3ca ].
% 47.07/47.27 cut (((h2 (op1 (e13) (e13))) = (h2 (op1 (e13) (e13)))) = ((h2 (e11)) = (h2 (op1 (e13) (e13))))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H3c8.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H3c9.
% 47.07/47.27 cut (((h2 (op1 (e13) (e13))) = (h2 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H3ca].
% 47.07/47.27 cut (((h2 (op1 (e13) (e13))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H3cb].
% 47.07/47.27 congruence.
% 47.07/47.27 cut (((op1 (e13) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H3cc].
% 47.07/47.27 congruence.
% 47.07/47.27 exact (zenon_H3cc zenon_H342).
% 47.07/47.27 apply zenon_H3ca. apply refl_equal.
% 47.07/47.27 apply zenon_H3ca. apply refl_equal.
% 47.07/47.27 apply (zenon_L417_); trivial.
% 47.07/47.27 (* end of lemma zenon_L418_ *)
% 47.07/47.27 assert (zenon_L419_ : (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (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) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H34f zenon_Hf9 zenon_Hc5 zenon_H115 zenon_H306 zenon_Hdf zenon_H10d zenon_H339 zenon_H15b zenon_H6a zenon_H51 zenon_H116 zenon_H174 zenon_H63 zenon_H110 zenon_H119 zenon_H5b zenon_Hb4 zenon_H56 zenon_H19 zenon_H1b zenon_H1c zenon_Hd4 zenon_H34 zenon_H30a zenon_H2b zenon_Hb0 zenon_Hb5 zenon_Hd7 zenon_H8f zenon_H175 zenon_H338 zenon_H3c7 zenon_H37b zenon_H243 zenon_H368 zenon_H194.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H34f); [ zenon_intro zenon_H15a | zenon_intro zenon_H350 ].
% 47.07/47.27 apply (zenon_L416_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H7d | zenon_intro zenon_H351 ].
% 47.07/47.27 apply (zenon_L344_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H105 | zenon_intro zenon_H342 ].
% 47.07/47.27 apply (zenon_L382_); trivial.
% 47.07/47.27 apply (zenon_L418_); trivial.
% 47.07/47.27 (* end of lemma zenon_L419_ *)
% 47.07/47.27 assert (zenon_L420_ : (~((e12) = (e13))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (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) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_Hd8 zenon_Hb8 zenon_H125 zenon_H11b zenon_H11f zenon_H101 zenon_H5c zenon_Hd0 zenon_Hfd zenon_Hed zenon_H2c zenon_H3b zenon_Hac zenon_He6 zenon_H12d zenon_H34f zenon_Hf9 zenon_Hc5 zenon_H115 zenon_H306 zenon_Hdf zenon_H10d zenon_H339 zenon_H15b zenon_H6a zenon_H51 zenon_H116 zenon_H174 zenon_H63 zenon_H110 zenon_H119 zenon_H5b zenon_Hb4 zenon_H56 zenon_H19 zenon_H1b zenon_H1c zenon_Hd4 zenon_H34 zenon_H2b zenon_Hb0 zenon_Hb5 zenon_Hd7 zenon_H8f zenon_H175 zenon_H338 zenon_H3c7 zenon_H37b zenon_H243 zenon_H368 zenon_H194.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.27 apply (zenon_L89_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.27 apply (zenon_L288_); trivial.
% 47.07/47.27 apply (zenon_L419_); trivial.
% 47.07/47.27 (* end of lemma zenon_L420_ *)
% 47.07/47.27 assert (zenon_L421_ : ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e12) = (e13))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e10)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e10) = (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (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) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H105 zenon_H104 zenon_Hd8 zenon_Hb8 zenon_H125 zenon_H11b zenon_H11f zenon_H101 zenon_H5c zenon_Hd0 zenon_Hfd zenon_Hed zenon_H2c zenon_H3b zenon_Hac zenon_He6 zenon_H12d zenon_H34f zenon_Hf9 zenon_Hc5 zenon_H115 zenon_H306 zenon_Hdf zenon_H10d zenon_H339 zenon_H15b zenon_H6a zenon_H51 zenon_H116 zenon_H174 zenon_H63 zenon_H110 zenon_H119 zenon_H5b zenon_Hb4 zenon_H56 zenon_H19 zenon_H1b zenon_H1c zenon_Hd4 zenon_H34 zenon_H2b zenon_Hb0 zenon_Hd7 zenon_H8f zenon_H175 zenon_H338 zenon_H3c7 zenon_H37b zenon_H243 zenon_H368 zenon_H194.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.07/47.27 apply (zenon_L57_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.07/47.27 apply (zenon_L28_); trivial.
% 47.07/47.27 apply (zenon_L420_); trivial.
% 47.07/47.27 (* end of lemma zenon_L421_ *)
% 47.07/47.27 assert (zenon_L422_ : (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((e10) = (e11))) -> ((op1 (e10) (e13)) = (e13)) -> (~((e11) = (e13))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((e11) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (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) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((e12) = (e13))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H48 zenon_H194 zenon_H368 zenon_H243 zenon_H37b zenon_H3c7 zenon_Hfd zenon_Hed zenon_H15b zenon_Hd7 zenon_Ha9 zenon_H33e zenon_H344 zenon_H34f zenon_Hf9 zenon_Hc5 zenon_H115 zenon_H306 zenon_H10d zenon_H339 zenon_H51 zenon_H116 zenon_H174 zenon_H63 zenon_H110 zenon_H119 zenon_H5b zenon_Hb4 zenon_H56 zenon_H1b zenon_Hd4 zenon_H2b zenon_Hb0 zenon_H8f zenon_H338 zenon_Hd3 zenon_H150 zenon_H130 zenon_Hf1 zenon_H12d zenon_He6 zenon_Hac zenon_Hd0 zenon_H5c zenon_H101 zenon_H11f zenon_H11b zenon_H125 zenon_Hd8 zenon_H35 zenon_H129 zenon_H9c zenon_H314 zenon_H104 zenon_H133 zenon_H19 zenon_H6a zenon_H345 zenon_H3b zenon_H2c zenon_H1c zenon_H42.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.27 apply (zenon_L7_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.27 apply (zenon_L9_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.27 apply (zenon_L326_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.27 apply (zenon_L4_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.27 apply (zenon_L326_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H5f | zenon_intro zenon_H134 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.27 apply (zenon_L50_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.27 apply (zenon_L51_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.27 apply (zenon_L137_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H34f); [ zenon_intro zenon_H15a | zenon_intro zenon_H350 ].
% 47.07/47.27 apply (zenon_L297_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H7d | zenon_intro zenon_H351 ].
% 47.07/47.27 apply (zenon_L40_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H105 | zenon_intro zenon_H342 ].
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H14f | zenon_intro zenon_H340 ].
% 47.07/47.27 apply (zenon_L123_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H175 | zenon_intro zenon_H341 ].
% 47.07/47.27 apply (zenon_L421_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H342 ].
% 47.07/47.27 apply (zenon_L54_); trivial.
% 47.07/47.27 apply (zenon_L418_); trivial.
% 47.07/47.27 apply (zenon_L418_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H128 | zenon_intro zenon_H135 ].
% 47.07/47.27 apply (zenon_L87_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H60 | zenon_intro zenon_Hb5 ].
% 47.07/47.27 apply (zenon_L327_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.27 apply (zenon_L90_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.27 apply (zenon_L288_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H14f | zenon_intro zenon_H340 ].
% 47.07/47.27 apply (zenon_L105_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H175 | zenon_intro zenon_H341 ].
% 47.07/47.27 apply (zenon_L419_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H342 ].
% 47.07/47.27 apply (zenon_L54_); trivial.
% 47.07/47.27 apply (zenon_L418_); trivial.
% 47.07/47.27 apply (zenon_L19_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H14f | zenon_intro zenon_H340 ].
% 47.07/47.27 apply (zenon_L123_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H175 | zenon_intro zenon_H341 ].
% 47.07/47.27 apply (zenon_L287_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H342 ].
% 47.07/47.27 apply (zenon_L54_); trivial.
% 47.07/47.27 apply (zenon_L418_); trivial.
% 47.07/47.27 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.27 apply (zenon_L10_); trivial.
% 47.07/47.27 apply (zenon_L11_); trivial.
% 47.07/47.27 (* end of lemma zenon_L422_ *)
% 47.07/47.27 assert (zenon_L423_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e13)) = (e11)) -> ((op1 (e11) (e13)) = (e11)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H171 zenon_H14f zenon_H175.
% 47.07/47.27 cut (((op1 (e10) (e13)) = (e11)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))).
% 47.07/47.27 intro zenon_D_pnotp.
% 47.07/47.27 apply zenon_H171.
% 47.07/47.27 rewrite <- zenon_D_pnotp.
% 47.07/47.27 exact zenon_H14f.
% 47.07/47.27 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 47.07/47.27 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 47.07/47.27 congruence.
% 47.07/47.27 apply zenon_Hba. apply refl_equal.
% 47.07/47.27 apply zenon_H17e. apply sym_equal. exact zenon_H175.
% 47.07/47.27 (* end of lemma zenon_L423_ *)
% 47.07/47.27 assert (zenon_L424_ : (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (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) (e10)) = (op1 (e11) (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) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (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) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> False).
% 47.07/47.27 do 0 intro. intros zenon_H154 zenon_H30a zenon_H175 zenon_H171 zenon_H42 zenon_H1c zenon_H2c zenon_H3b zenon_H34f zenon_Hd8 zenon_H12d zenon_H129 zenon_H314 zenon_H133 zenon_Hd4 zenon_H163 zenon_H17b zenon_H177 zenon_H137 zenon_H335 zenon_H164 zenon_H345 zenon_H346 zenon_H33f zenon_H11b zenon_H48 zenon_H344 zenon_H1b zenon_Hb7 zenon_H339 zenon_H101 zenon_Hfd zenon_H104 zenon_H5c zenon_H116 zenon_Hb0 zenon_H2b zenon_Hc5 zenon_H115 zenon_Hf7 zenon_Hb4 zenon_Hd3 zenon_Hd0 zenon_Ha9 zenon_H15b zenon_H150 zenon_H33e zenon_H9c zenon_H35 zenon_Hac zenon_H30e zenon_H149 zenon_H142 zenon_H4b zenon_H130 zenon_H51 zenon_Hed zenon_Hf1 zenon_Hbe zenon_He6 zenon_Hde zenon_H110 zenon_H63 zenon_H174 zenon_H10d zenon_H306 zenon_H119 zenon_Hf9 zenon_H56 zenon_H5f zenon_Hea zenon_H23 zenon_H16f zenon_H30f zenon_H24 zenon_H14c zenon_H338 zenon_H19 zenon_H6a zenon_H8f zenon_H152.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H13d | zenon_intro zenon_H155 ].
% 47.07/47.28 apply (zenon_L387_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14f | zenon_intro zenon_H156 ].
% 47.07/47.28 apply (zenon_L423_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H8e | zenon_intro zenon_Hd7 ].
% 47.07/47.28 apply (zenon_L358_); trivial.
% 47.07/47.28 apply (zenon_L111_); trivial.
% 47.07/47.28 (* end of lemma zenon_L424_ *)
% 47.07/47.28 assert (zenon_L425_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((h2 (e11)) = (e21)) -> ((op2 (e23) (e23)) = (e21)) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op1 (e12) (e13)) = (e12)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((op1 (e13) (e13)) = (e10)) -> ((op1 (e11) (e13)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (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) (e10)) = (op1 (e11) (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) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((e10) = (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) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e10) (e11)) = (e11)) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e12) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False).
% 47.07/47.28 do 0 intro. intros zenon_H157 zenon_H125 zenon_H11f zenon_H5b zenon_H3c7 zenon_H37b zenon_H243 zenon_H368 zenon_H194 zenon_Hb8 zenon_H154 zenon_H30a zenon_H175 zenon_H171 zenon_H42 zenon_H1c zenon_H2c zenon_H3b zenon_H34f zenon_Hd8 zenon_H12d zenon_H129 zenon_H314 zenon_H133 zenon_Hd4 zenon_H163 zenon_H17b zenon_H177 zenon_H137 zenon_H335 zenon_H164 zenon_H345 zenon_H346 zenon_H33f zenon_H11b zenon_H48 zenon_H344 zenon_H1b zenon_Hb7 zenon_H339 zenon_H101 zenon_Hfd zenon_H104 zenon_H5c zenon_H116 zenon_Hb0 zenon_H2b zenon_Hc5 zenon_H115 zenon_Hf7 zenon_Hb4 zenon_Hd3 zenon_Hd0 zenon_Ha9 zenon_H15b zenon_H150 zenon_H33e zenon_H9c zenon_H35 zenon_Hac zenon_H30e zenon_H149 zenon_H142 zenon_H4b zenon_H130 zenon_H51 zenon_Hed zenon_Hf1 zenon_Hbe zenon_He6 zenon_Hde zenon_H110 zenon_H63 zenon_H174 zenon_H10d zenon_H306 zenon_H119 zenon_Hf9 zenon_H56 zenon_H5f zenon_Hea zenon_H23 zenon_H16f zenon_H30f zenon_H24 zenon_H14c zenon_H338 zenon_H19 zenon_H6a zenon_H8f.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H158 ].
% 47.07/47.28 apply (zenon_L422_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H136 | zenon_intro zenon_H159 ].
% 47.07/47.28 apply (zenon_L92_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H152 ].
% 47.07/47.28 apply (zenon_L84_); trivial.
% 47.07/47.28 apply (zenon_L424_); trivial.
% 47.07/47.28 (* end of lemma zenon_L425_ *)
% 47.07/47.28 assert (zenon_L426_ : ((op1 (e12) (e11)) = (e10)) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e11)) -> (~((e11) = (e12))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e13))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e10) = (e12))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (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) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> ((op1 (e10) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e11)) -> (~((e12) = (e13))) -> False).
% 47.07/47.28 do 0 intro. intros zenon_H32e zenon_H8f zenon_H6a zenon_H19 zenon_H338 zenon_H14c zenon_H24 zenon_H30f zenon_H16f zenon_H23 zenon_Hea zenon_H5f zenon_H56 zenon_Hf9 zenon_H119 zenon_H306 zenon_H10d zenon_H174 zenon_H63 zenon_H110 zenon_Hde zenon_He6 zenon_Hbe zenon_Hf1 zenon_Hed zenon_H51 zenon_H130 zenon_H4b zenon_H142 zenon_H149 zenon_H30e zenon_Hac zenon_H35 zenon_H9c zenon_H33e zenon_H150 zenon_H15b zenon_Ha9 zenon_Hd0 zenon_Hd3 zenon_Hb4 zenon_Hf7 zenon_H115 zenon_Hc5 zenon_H2b zenon_Hb0 zenon_H116 zenon_H5c zenon_H104 zenon_Hfd zenon_H101 zenon_H339 zenon_Hb7 zenon_H1b zenon_H344 zenon_H48 zenon_H11b zenon_H33f zenon_H346 zenon_H345 zenon_H164 zenon_H335 zenon_H137 zenon_H177 zenon_H17b zenon_H163 zenon_Hd4 zenon_H133 zenon_H314 zenon_H129 zenon_H12d zenon_H34f zenon_H3b zenon_H2c zenon_H1c zenon_H42 zenon_H171 zenon_H175 zenon_H154 zenon_H194 zenon_H368 zenon_H243 zenon_H37b zenon_H3c7 zenon_H5b zenon_H11f zenon_H125 zenon_H157 zenon_Hdf zenon_H34 zenon_H105 zenon_Hd8.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.28 apply (zenon_L50_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.28 apply (zenon_L51_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.28 apply (zenon_L137_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.28 apply (zenon_L327_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.28 apply (zenon_L415_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.28 apply (zenon_L19_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.28 apply (zenon_L288_); trivial.
% 47.07/47.28 apply (zenon_L425_); trivial.
% 47.07/47.28 apply (zenon_L84_); trivial.
% 47.07/47.28 (* end of lemma zenon_L426_ *)
% 47.07/47.28 assert (zenon_L427_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e11) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e11) (e10)) = (e12))\/(((op1 (e12) (e10)) = (e12))\/((op1 (e13) (e10)) = (e12))))) -> (((op1 (e13) (e10)) = (e11))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e12)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> ((e23) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) -> ((op2 (e23) (e23)) = (e21)) -> ((h2 (e11)) = (e21)) -> (~((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/((op1 (e13) (e11)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (((op1 (e13) (e10)) = (e10))\/(((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e12)) = (e10))\/((op1 (e13) (e13)) = (e10))))) -> (((op1 (e12) (e10)) = (e10))\/(((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e12) (e13)) = (e10))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (((op1 (e11) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e10))\/(((op1 (e10) (e13)) = (e11))\/(((op1 (e10) (e13)) = (e12))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e10)) = (e10))\/(((op1 (e12) (e10)) = (e10))\/((op1 (e13) (e10)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e12))\/(((op1 (e10) (e11)) = (e12))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e13)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e11)) = (e10))\/(((op1 (e13) (e11)) = (e11))\/(((op1 (e13) (e11)) = (e12))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e10) (e11)) = (e13))\/(((op1 (e10) (e12)) = (e13))\/((op1 (e10) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((e10) = (op1 (op1 (e11) (e11)) (e11))) -> ((e13) = (op1 (e11) (op1 (op1 (e11) (e11)) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e10) (e11)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/((op1 (e13) (e11)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (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)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((e10) = (e12))) -> (((op1 (e13) (e10)) = (e12))\/(((op1 (e13) (e11)) = (e12))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((e12) = (e13))) -> (((op1 (e10) (e10)) = (e13))\/(((op1 (e11) (e10)) = (e13))\/(((op1 (e12) (e10)) = (e13))\/((op1 (e13) (e10)) = (e13))))) -> (~((e11) = (e13))) -> (~((e10) = (e13))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e11) (e10)) = (e11))\/(((op1 (e12) (e10)) = (e11))\/((op1 (e13) (e10)) = (e11))))) -> (~((e10) = (e11))) -> False).
% 47.07/47.28 do 0 intro. intros zenon_H3cd zenon_H314 zenon_H30f zenon_H306 zenon_H30e zenon_H315 zenon_H34f zenon_H194 zenon_H368 zenon_H243 zenon_H37b zenon_H3c7 zenon_H344 zenon_H338 zenon_H335 zenon_H345 zenon_H339 zenon_H346 zenon_H33f zenon_H33e zenon_H150 zenon_H133 zenon_H129 zenon_H12d zenon_He6 zenon_Hd4 zenon_Hea zenon_Hde zenon_Hbe zenon_H8f zenon_H157 zenon_H154 zenon_Hb7 zenon_Hcb zenon_H160 zenon_H16f zenon_H161 zenon_H104 zenon_H174 zenon_H163 zenon_H14c zenon_H13e zenon_H125 zenon_H11b zenon_H11f zenon_H9c zenon_H115 zenon_Hb4 zenon_H6a zenon_Hd0 zenon_Hdb zenon_H164 zenon_H42 zenon_H1c zenon_H2c zenon_H3b zenon_H149 zenon_H142 zenon_H4b zenon_H130 zenon_H51 zenon_Hf1 zenon_H119 zenon_H101 zenon_H10d zenon_Hfd zenon_H63 zenon_H110 zenon_Hac zenon_H1b zenon_Hc5 zenon_H2b zenon_H56 zenon_Hf9 zenon_H19 zenon_Hb0 zenon_H5c zenon_H116 zenon_Hd8 zenon_H48 zenon_Ha9 zenon_H35 zenon_H17b zenon_H171 zenon_H177 zenon_H137 zenon_H24 zenon_H162 zenon_H15b.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.28 apply (zenon_L282_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.28 apply (zenon_L15_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H50 | zenon_intro zenon_H316 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H301 | zenon_intro zenon_H317 ].
% 47.07/47.28 apply (zenon_L285_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_Hee | zenon_intro zenon_Hf7 ].
% 47.07/47.28 apply (zenon_L50_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.28 apply (zenon_L9_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H34f); [ zenon_intro zenon_H15a | zenon_intro zenon_H350 ].
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H350); [ zenon_intro zenon_H7d | zenon_intro zenon_H351 ].
% 47.07/47.28 apply (zenon_L40_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H351); [ zenon_intro zenon_H105 | zenon_intro zenon_H342 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H14f | zenon_intro zenon_H340 ].
% 47.07/47.28 apply (zenon_L303_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H175 | zenon_intro zenon_H341 ].
% 47.07/47.28 apply (zenon_L426_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H342 ].
% 47.07/47.28 apply (zenon_L54_); trivial.
% 47.07/47.28 apply (zenon_L418_); trivial.
% 47.07/47.28 apply (zenon_L418_); trivial.
% 47.07/47.28 apply (zenon_L19_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H14f | zenon_intro zenon_H340 ].
% 47.07/47.28 apply (zenon_L303_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H175 | zenon_intro zenon_H341 ].
% 47.07/47.28 apply (zenon_L287_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H342 ].
% 47.07/47.28 apply (zenon_L54_); trivial.
% 47.07/47.28 apply (zenon_L418_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_L11_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.28 apply (zenon_L133_); trivial.
% 47.07/47.28 apply (zenon_L422_); trivial.
% 47.07/47.28 apply (zenon_L361_); trivial.
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 (* end of lemma zenon_L427_ *)
% 47.07/47.28 apply NNPP. intro zenon_G.
% 47.07/47.28 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_Hd4. zenon_intro zenon_H3d2.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3d2). zenon_intro zenon_H14c. zenon_intro zenon_H3d3.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3d3). zenon_intro zenon_H154. zenon_intro zenon_H3d4.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_H3d6. zenon_intro zenon_H3d5.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3d5). zenon_intro zenon_H3d8. zenon_intro zenon_H3d7.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3d7). zenon_intro zenon_Hea. zenon_intro zenon_H3d9.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3d9). zenon_intro zenon_H17b. zenon_intro zenon_H3da.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3da). zenon_intro zenon_H3dc. zenon_intro zenon_H3db.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3db). zenon_intro zenon_H3de. zenon_intro zenon_H3dd.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3dd). zenon_intro zenon_H125. zenon_intro zenon_H3df.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3df). zenon_intro zenon_H110. zenon_intro zenon_H3e0.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3e0). zenon_intro zenon_H3e2. zenon_intro zenon_H3e1.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3e1). zenon_intro zenon_Hd0. zenon_intro zenon_H3e3.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3e3). zenon_intro zenon_H10d. zenon_intro zenon_H3e4.
% 47.07/47.28 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H3cd. zenon_intro zenon_H3e5.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3e5). zenon_intro zenon_H160. zenon_intro zenon_H3e6.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3e6). zenon_intro zenon_H161. zenon_intro zenon_H3e7.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H162. zenon_intro zenon_H3e8.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3e8). zenon_intro zenon_H163. zenon_intro zenon_H3e9.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H315. zenon_intro zenon_H3ea.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H164. zenon_intro zenon_H3eb.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3eb). zenon_intro zenon_H48. zenon_intro zenon_H3ec.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3ec). zenon_intro zenon_H345. zenon_intro zenon_H3ed.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3ed). zenon_intro zenon_H344. zenon_intro zenon_H3ee.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3ee). zenon_intro zenon_H30e. zenon_intro zenon_H3ef.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3ef). zenon_intro zenon_H149. zenon_intro zenon_H3f0.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H3f2. zenon_intro zenon_H3f1.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H3f6. zenon_intro zenon_H3f5.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H133. zenon_intro zenon_H3f7.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3f7). zenon_intro zenon_H346. zenon_intro zenon_H3f8.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3f8). zenon_intro zenon_H3fa. zenon_intro zenon_H3f9.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H3fe. zenon_intro zenon_H3fd.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H130. zenon_intro zenon_H3ff.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H12d. zenon_intro zenon_H400.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_Hac. zenon_intro zenon_H401.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H401). zenon_intro zenon_Hcb. zenon_intro zenon_H402.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H339. zenon_intro zenon_H403.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H403). zenon_intro zenon_H30f. zenon_intro zenon_H404.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H34f. zenon_intro zenon_H405.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H405). zenon_intro zenon_H33e. zenon_intro zenon_H406.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H406). zenon_intro zenon_H116. zenon_intro zenon_H407.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H407). zenon_intro zenon_H409. zenon_intro zenon_H408.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H408). zenon_intro zenon_H364. zenon_intro zenon_H157.
% 47.07/47.28 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H40b. zenon_intro zenon_H40a.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H40a). zenon_intro zenon_H40d. zenon_intro zenon_H40c.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H40c). zenon_intro zenon_H40f. zenon_intro zenon_H40e.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H40e). zenon_intro zenon_H411. zenon_intro zenon_H410.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H410). zenon_intro zenon_H413. zenon_intro zenon_H412.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H412). zenon_intro zenon_H415. zenon_intro zenon_H414.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H414). zenon_intro zenon_H417. zenon_intro zenon_H416.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H416). zenon_intro zenon_H2ee. zenon_intro zenon_H418.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H418). zenon_intro zenon_H2b5. zenon_intro zenon_H419.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H419). zenon_intro zenon_H41b. zenon_intro zenon_H41a.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H41a). zenon_intro zenon_H29c. zenon_intro zenon_H41c.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H24b. zenon_intro zenon_H41d.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H41d). zenon_intro zenon_H41f. zenon_intro zenon_H41e.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H41e). zenon_intro zenon_H230. zenon_intro zenon_H420.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H420). zenon_intro zenon_H271. zenon_intro zenon_H421.
% 47.07/47.28 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H423. zenon_intro zenon_H422.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H422). zenon_intro zenon_H2d1. zenon_intro zenon_H424.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H424). zenon_intro zenon_H2d2. zenon_intro zenon_H425.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H425). zenon_intro zenon_H2ba. zenon_intro zenon_H426.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H426). zenon_intro zenon_H27a. zenon_intro zenon_H427.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H427). zenon_intro zenon_H27d. zenon_intro zenon_H428.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H428). zenon_intro zenon_H27b. zenon_intro zenon_H429.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H429). zenon_intro zenon_H1b0. zenon_intro zenon_H42a.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H42a). zenon_intro zenon_H2d7. zenon_intro zenon_H42b.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H42b). zenon_intro zenon_H2bd. zenon_intro zenon_H42c.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H42c). zenon_intro zenon_H2d3. zenon_intro zenon_H42d.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H42d). zenon_intro zenon_H2bb. zenon_intro zenon_H42e.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H42e). zenon_intro zenon_H430. zenon_intro zenon_H42f.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H42f). zenon_intro zenon_H432. zenon_intro zenon_H431.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H431). zenon_intro zenon_H434. zenon_intro zenon_H433.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H433). zenon_intro zenon_H2d4. zenon_intro zenon_H435.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H435). zenon_intro zenon_H437. zenon_intro zenon_H436.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H436). zenon_intro zenon_H355. zenon_intro zenon_H438.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H438). zenon_intro zenon_H360. zenon_intro zenon_H439.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H439). zenon_intro zenon_H2fc. zenon_intro zenon_H43a.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H43a). zenon_intro zenon_H2bc. zenon_intro zenon_H43b.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H43b). zenon_intro zenon_H2d6. zenon_intro zenon_H43c.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H225. zenon_intro zenon_H43d.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H43d). zenon_intro zenon_H2d5. zenon_intro zenon_H43e.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H43e). zenon_intro zenon_H354. zenon_intro zenon_H43f.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H43f). zenon_intro zenon_H322. zenon_intro zenon_H440.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H440). zenon_intro zenon_H442. zenon_intro zenon_H441.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H441). zenon_intro zenon_H2c7. zenon_intro zenon_H443.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H443). zenon_intro zenon_H27c. zenon_intro zenon_H444.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H444). zenon_intro zenon_H28d. zenon_intro zenon_H445.
% 47.07/47.28 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2b. zenon_intro zenon_H446.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H446). zenon_intro zenon_H448. zenon_intro zenon_H447.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H447). zenon_intro zenon_H335. zenon_intro zenon_H449.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H449). zenon_intro zenon_H3b. zenon_intro zenon_H44a.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H44a). zenon_intro zenon_H42. zenon_intro zenon_H44b.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H44b). zenon_intro zenon_H44d. zenon_intro zenon_H44c.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H44c). zenon_intro zenon_H56. zenon_intro zenon_H44e.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H44e). zenon_intro zenon_H1b. zenon_intro zenon_H44f.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H44f). zenon_intro zenon_Hb4. zenon_intro zenon_H450.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H450). zenon_intro zenon_Hf1. zenon_intro zenon_H451.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H451). zenon_intro zenon_Hb0. zenon_intro zenon_H452.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H452). zenon_intro zenon_H6a. zenon_intro zenon_H453.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H453). zenon_intro zenon_Hde. zenon_intro zenon_H454.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H454). zenon_intro zenon_H9c. zenon_intro zenon_H455.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H455). zenon_intro zenon_H119. zenon_intro zenon_H456.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H456). zenon_intro zenon_H458. zenon_intro zenon_H457.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H457). zenon_intro zenon_H306. zenon_intro zenon_H459.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H459). zenon_intro zenon_Hf9. zenon_intro zenon_H45a.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H45a). zenon_intro zenon_H171. zenon_intro zenon_H45b.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H45b). zenon_intro zenon_Hb7. zenon_intro zenon_H45c.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_H8f. zenon_intro zenon_H45d.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H45d). zenon_intro zenon_H174. zenon_intro zenon_H45e.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H338. zenon_intro zenon_H45f.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H45f). zenon_intro zenon_Hc5. zenon_intro zenon_H460.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H460). zenon_intro zenon_Hdb. zenon_intro zenon_H461.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H461). zenon_intro zenon_H24. zenon_intro zenon_H462.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H16f. zenon_intro zenon_H463.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H463). zenon_intro zenon_H142. zenon_intro zenon_H464.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H464). zenon_intro zenon_H150. zenon_intro zenon_H465.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H13e. zenon_intro zenon_H466.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H466). zenon_intro zenon_H129. zenon_intro zenon_H467.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H467). zenon_intro zenon_Hbe. zenon_intro zenon_H468.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H468). zenon_intro zenon_H137. zenon_intro zenon_H469.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H469). zenon_intro zenon_He6. zenon_intro zenon_H46a.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H46a). zenon_intro zenon_H177. zenon_intro zenon_H46b.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H46b). zenon_intro zenon_H46d. zenon_intro zenon_H46c.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H46c). zenon_intro zenon_H4b. zenon_intro zenon_H46e.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H46e). zenon_intro zenon_H11f. zenon_intro zenon_H46f.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H46f). zenon_intro zenon_Hfd. zenon_intro zenon_H470.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H470). zenon_intro zenon_H11b. zenon_intro zenon_H471.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H471). zenon_intro zenon_H63. zenon_intro zenon_H472.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H472). zenon_intro zenon_H115. zenon_intro zenon_H473.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H473). zenon_intro zenon_H314. zenon_intro zenon_H474.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H474). zenon_intro zenon_H101. zenon_intro zenon_H475.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H475). zenon_intro zenon_H33f. zenon_intro zenon_H476.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H476). zenon_intro zenon_H104. zenon_intro zenon_H477.
% 47.07/47.28 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H193. zenon_intro zenon_H478.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_H47a. zenon_intro zenon_H479.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H479). zenon_intro zenon_H35d. zenon_intro zenon_H47b.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H47b). zenon_intro zenon_H1a3. zenon_intro zenon_H47c.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H47c). zenon_intro zenon_H1aa. zenon_intro zenon_H47d.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_H47f. zenon_intro zenon_H47e.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H1be. zenon_intro zenon_H480.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H480). zenon_intro zenon_H185. zenon_intro zenon_H481.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_H22d. zenon_intro zenon_H482.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H2ab. zenon_intro zenon_H483.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H483). zenon_intro zenon_H229. zenon_intro zenon_H484.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H484). zenon_intro zenon_H1e4. zenon_intro zenon_H485.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H485). zenon_intro zenon_H1cf. zenon_intro zenon_H486.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H486). zenon_intro zenon_H216. zenon_intro zenon_H487.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H487). zenon_intro zenon_H259. zenon_intro zenon_H488.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H488). zenon_intro zenon_H295. zenon_intro zenon_H489.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H489). zenon_intro zenon_H48b. zenon_intro zenon_H48a.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H48a). zenon_intro zenon_H270. zenon_intro zenon_H48c.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H2ec. zenon_intro zenon_H48d.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H48d). zenon_intro zenon_H25c. zenon_intro zenon_H48e.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H48e). zenon_intro zenon_H20a. zenon_intro zenon_H48f.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H2eb. zenon_intro zenon_H490.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H378. zenon_intro zenon_H491.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H491). zenon_intro zenon_H23f. zenon_intro zenon_H492.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H492). zenon_intro zenon_H2a0. zenon_intro zenon_H493.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H493). zenon_intro zenon_H18d. zenon_intro zenon_H494.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H494). zenon_intro zenon_H2e7. zenon_intro zenon_H495.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H495). zenon_intro zenon_H2f7. zenon_intro zenon_H496.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H498. zenon_intro zenon_H497.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H49a. zenon_intro zenon_H499.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H499). zenon_intro zenon_H1c7. zenon_intro zenon_H49b.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H49b). zenon_intro zenon_H251. zenon_intro zenon_H49c.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H49c). zenon_intro zenon_H2ef. zenon_intro zenon_H49d.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H49d). zenon_intro zenon_H2cb. zenon_intro zenon_H49e.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H49e). zenon_intro zenon_H287. zenon_intro zenon_H49f.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H49f). zenon_intro zenon_H4a1. zenon_intro zenon_H4a0.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4a0). zenon_intro zenon_H1b3. zenon_intro zenon_H4a2.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4a2). zenon_intro zenon_H299. zenon_intro zenon_H4a3.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4a3). zenon_intro zenon_H23a. zenon_intro zenon_H4a4.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4a4). zenon_intro zenon_H291. zenon_intro zenon_H4a5.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4a5). zenon_intro zenon_H234. zenon_intro zenon_H4a6.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4a6). zenon_intro zenon_H265. zenon_intro zenon_H4a7.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4a7). zenon_intro zenon_H325. zenon_intro zenon_H4a8.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4a8). zenon_intro zenon_H25f. zenon_intro zenon_H4a9.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4a9). zenon_intro zenon_H4ab. zenon_intro zenon_H4aa.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H262. zenon_intro zenon_H4ac.
% 47.07/47.28 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H15b. zenon_intro zenon_H4ad.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H5c. zenon_intro zenon_H4ae.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4ae). zenon_intro zenon_H35. zenon_intro zenon_H4af.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H51. zenon_intro zenon_H4b0.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4b0). zenon_intro zenon_Ha9. zenon_intro zenon_Hd8.
% 47.07/47.28 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H1df. zenon_intro zenon_H4b1.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H1c4. zenon_intro zenon_H4b2.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4b2). zenon_intro zenon_H19d. zenon_intro zenon_H4b3.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1b9. zenon_intro zenon_H4b4.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4b4). zenon_intro zenon_H1d3. zenon_intro zenon_H276.
% 47.07/47.28 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H1c. zenon_intro zenon_H4b5.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4b5). zenon_intro zenon_H19. zenon_intro zenon_H2c.
% 47.07/47.28 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H14. zenon_intro zenon_H4b6.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4b6). zenon_intro zenon_H183. zenon_intro zenon_H194.
% 47.07/47.28 apply (zenon_and_s _ _ ax15). zenon_intro zenon_H37b. zenon_intro zenon_H4b7.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4b7). zenon_intro zenon_H13. zenon_intro zenon_H4b8.
% 47.07/47.28 apply (zenon_and_s _ _ zenon_H4b8). zenon_intro zenon_H32a. zenon_intro zenon_H368.
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H4ba. zenon_intro zenon_H4b9.
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_H4b9). zenon_intro zenon_H4bc. zenon_intro zenon_H4bb.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H4bc); [ zenon_intro zenon_H4be | zenon_intro zenon_H4bd ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 cut (((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) = ((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4be.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H13.
% 47.07/47.28 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (h2 (e10)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4c0].
% 47.07/47.28 cut (((h2 (e10)) = (h2 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4c1].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((h2 (op1 (e10) (e10))) = (h2 (op1 (e10) (e10))))); [ zenon_intro zenon_H4c2 | zenon_intro zenon_H4c3 ].
% 47.07/47.28 cut (((h2 (op1 (e10) (e10))) = (h2 (op1 (e10) (e10)))) = ((h2 (e10)) = (h2 (op1 (e10) (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4c1.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4c2.
% 47.07/47.28 cut (((h2 (op1 (e10) (e10))) = (h2 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4c3].
% 47.07/47.28 cut (((h2 (op1 (e10) (e10))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4c4].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H4c5].
% 47.07/47.28 congruence.
% 47.07/47.28 exact (zenon_H4c5 zenon_H23).
% 47.07/47.28 apply zenon_H4c3. apply refl_equal.
% 47.07/47.28 apply zenon_H4c3. apply refl_equal.
% 47.07/47.28 elim (classic ((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10))))); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c7 ].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10)))) = ((op2 (op2 (e21) (e21)) (e21)) = (op2 (h2 (e10)) (h2 (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4c0.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4c6.
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4c7].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4c8].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (h2 (e10)) (h2 (e10))) = (op2 (op2 (e21) (e21)) (e21)))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4c8.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H18c.
% 47.07/47.28 cut (((e20) = (op2 (op2 (e21) (e21)) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H393].
% 47.07/47.28 cut (((op2 (e20) (e20)) = (op2 (h2 (e10)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4c9].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10))))); [ zenon_intro zenon_H4c6 | zenon_intro zenon_H4c7 ].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10)))) = ((op2 (e20) (e20)) = (op2 (h2 (e10)) (h2 (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4c9.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4c6.
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (h2 (e10)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4c7].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4ca].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 47.07/47.28 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 47.07/47.28 congruence.
% 47.07/47.28 apply (zenon_L1_); trivial.
% 47.07/47.28 apply (zenon_L1_); trivial.
% 47.07/47.28 apply zenon_H4c7. apply refl_equal.
% 47.07/47.28 apply zenon_H4c7. apply refl_equal.
% 47.07/47.28 exact (zenon_H393 zenon_H14).
% 47.07/47.28 apply zenon_H4c7. apply refl_equal.
% 47.07/47.28 apply zenon_H4c7. apply refl_equal.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H4bd); [ zenon_intro zenon_H4cd | zenon_intro zenon_H4cc ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4cd.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H37b.
% 47.07/47.28 cut (((e21) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4ce].
% 47.07/47.28 cut (((h2 (e11)) = (h2 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4cf].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((h2 (op1 (e10) (e11))) = (h2 (op1 (e10) (e11))))); [ zenon_intro zenon_H4d0 | zenon_intro zenon_H4d1 ].
% 47.07/47.28 cut (((h2 (op1 (e10) (e11))) = (h2 (op1 (e10) (e11)))) = ((h2 (e11)) = (h2 (op1 (e10) (e11))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4cf.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4d0.
% 47.07/47.28 cut (((h2 (op1 (e10) (e11))) = (h2 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4d1].
% 47.07/47.28 cut (((h2 (op1 (e10) (e11))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H4d2].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H4d3].
% 47.07/47.28 congruence.
% 47.07/47.28 exact (zenon_H4d3 zenon_Hd3).
% 47.07/47.28 apply zenon_H4d1. apply refl_equal.
% 47.07/47.28 apply zenon_H4d1. apply refl_equal.
% 47.07/47.28 elim (classic ((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [ zenon_intro zenon_H4d4 | zenon_intro zenon_H4d5 ].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11)))) = ((e21) = (op2 (h2 (e10)) (h2 (e11))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4ce.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4d4.
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4d5].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e11))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H4d6].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (h2 (e10)) (h2 (e11))) = (e21))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4d6.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H29f.
% 47.07/47.28 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.07/47.28 cut (((op2 (e20) (e21)) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4d7].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [ zenon_intro zenon_H4d4 | zenon_intro zenon_H4d5 ].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11)))) = ((op2 (e20) (e21)) = (op2 (h2 (e10)) (h2 (e11))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4d7.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4d4.
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (h2 (e10)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4d5].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4d8].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((h2 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H388].
% 47.07/47.28 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 47.07/47.28 congruence.
% 47.07/47.28 apply (zenon_L1_); trivial.
% 47.07/47.28 exact (zenon_H388 zenon_H37b).
% 47.07/47.28 apply zenon_H4d5. apply refl_equal.
% 47.07/47.28 apply zenon_H4d5. apply refl_equal.
% 47.07/47.28 apply zenon_H181. apply refl_equal.
% 47.07/47.28 apply zenon_H4d5. apply refl_equal.
% 47.07/47.28 apply zenon_H4d5. apply refl_equal.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H4cc); [ zenon_intro zenon_H4da | zenon_intro zenon_H4d9 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.28 apply (zenon_L218_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.28 apply (zenon_L219_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.28 apply (zenon_L307_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.28 apply (zenon_L156_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.28 apply (zenon_L45_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.28 apply (zenon_L282_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.28 apply (zenon_L15_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.28 cut (((h2 (e12)) = (op2 (e21) (e21))) = ((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4da.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H32a.
% 47.07/47.28 cut (((op2 (e21) (e21)) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4db].
% 47.07/47.28 cut (((h2 (e12)) = (h2 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4dc].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((h2 (op1 (e10) (e12))) = (h2 (op1 (e10) (e12))))); [ zenon_intro zenon_H4dd | zenon_intro zenon_H4de ].
% 47.07/47.28 cut (((h2 (op1 (e10) (e12))) = (h2 (op1 (e10) (e12)))) = ((h2 (e12)) = (h2 (op1 (e10) (e12))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4dc.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4dd.
% 47.07/47.28 cut (((h2 (op1 (e10) (e12))) = (h2 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4de].
% 47.07/47.28 cut (((h2 (op1 (e10) (e12))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4df].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H5e].
% 47.07/47.28 congruence.
% 47.07/47.28 exact (zenon_H5e zenon_H5b).
% 47.07/47.28 apply zenon_H4de. apply refl_equal.
% 47.07/47.28 apply zenon_H4de. apply refl_equal.
% 47.07/47.28 elim (classic ((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [ zenon_intro zenon_H4e0 | zenon_intro zenon_H4e1 ].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12)))) = ((op2 (e21) (e21)) = (op2 (h2 (e10)) (h2 (e12))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4db.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4e0.
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4e1].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4e2].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (h2 (e10)) (h2 (e12))) = (op2 (e21) (e21)))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4e2.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H1c3.
% 47.07/47.28 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4e3].
% 47.07/47.28 cut (((op2 (e20) (e22)) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4e4].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [ zenon_intro zenon_H4e0 | zenon_intro zenon_H4e1 ].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12)))) = ((op2 (e20) (e22)) = (op2 (h2 (e10)) (h2 (e12))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4e4.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4e0.
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (h2 (e10)) (h2 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H4e1].
% 47.07/47.28 cut (((op2 (h2 (e10)) (h2 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4e5].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 47.07/47.28 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 47.07/47.28 congruence.
% 47.07/47.28 apply (zenon_L1_); trivial.
% 47.07/47.28 apply (zenon_L325_); trivial.
% 47.07/47.28 apply zenon_H4e1. apply refl_equal.
% 47.07/47.28 apply zenon_H4e1. apply refl_equal.
% 47.07/47.28 exact (zenon_H4e3 zenon_H183).
% 47.07/47.28 apply zenon_H4e1. apply refl_equal.
% 47.07/47.28 apply zenon_H4e1. apply refl_equal.
% 47.07/47.28 apply (zenon_L361_); trivial.
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_L366_); trivial.
% 47.07/47.28 apply (zenon_L381_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H4d9); [ zenon_intro zenon_H36b | zenon_intro zenon_H4e6 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.28 apply (zenon_L218_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.28 apply (zenon_L219_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.28 apply (zenon_L307_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.28 apply (zenon_L156_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.28 apply (zenon_L148_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.28 apply (zenon_L220_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.28 apply (zenon_L206_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.28 apply (zenon_L45_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.28 apply (zenon_L282_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.28 apply (zenon_L15_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H50 | zenon_intro zenon_H316 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H301 | zenon_intro zenon_H317 ].
% 47.07/47.28 apply (zenon_L285_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_Hee | zenon_intro zenon_Hf7 ].
% 47.07/47.28 apply (zenon_L50_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.28 apply (zenon_L9_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.28 apply (zenon_L390_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3fa); [ zenon_intro zenon_H22 | zenon_intro zenon_H4e7 ].
% 47.07/47.28 apply (zenon_L16_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4e7); [ zenon_intro zenon_Hdf | zenon_intro zenon_H4e8 ].
% 47.07/47.28 apply (zenon_L390_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4e8); [ zenon_intro zenon_H11a | zenon_intro zenon_H102 ].
% 47.07/47.28 apply (zenon_L72_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H33e); [ zenon_intro zenon_H14f | zenon_intro zenon_H340 ].
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H340); [ zenon_intro zenon_H175 | zenon_intro zenon_H341 ].
% 47.07/47.28 apply (zenon_L287_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H341); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H342 ].
% 47.07/47.28 apply (zenon_L54_); trivial.
% 47.07/47.28 apply (zenon_L395_); trivial.
% 47.07/47.28 apply (zenon_L19_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_L11_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.28 apply (zenon_L133_); trivial.
% 47.07/47.28 apply (zenon_L392_); trivial.
% 47.07/47.28 apply (zenon_L361_); trivial.
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_L366_); trivial.
% 47.07/47.28 apply (zenon_L381_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H4e6); [ zenon_intro zenon_H4ea | zenon_intro zenon_H4e9 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.28 cut (((h2 (e13)) = (op2 (e21) (op2 (op2 (e21) (e21)) (e21)))) = ((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4ea.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H368.
% 47.07/47.28 cut (((op2 (e21) (op2 (op2 (e21) (e21)) (e21))) = (op2 (h2 (e11)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4eb].
% 47.07/47.28 cut (((h2 (e13)) = (h2 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4ec].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((h2 (op1 (e11) (e10))) = (h2 (op1 (e11) (e10))))); [ zenon_intro zenon_H4ed | zenon_intro zenon_H4ee ].
% 47.07/47.28 cut (((h2 (op1 (e11) (e10))) = (h2 (op1 (e11) (e10)))) = ((h2 (e13)) = (h2 (op1 (e11) (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4ec.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4ed.
% 47.07/47.28 cut (((h2 (op1 (e11) (e10))) = (h2 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4ee].
% 47.07/47.28 cut (((h2 (op1 (e11) (e10))) = (h2 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4ef].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op1 (e11) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 47.07/47.28 congruence.
% 47.07/47.28 exact (zenon_H39 zenon_H34).
% 47.07/47.28 apply zenon_H4ee. apply refl_equal.
% 47.07/47.28 apply zenon_H4ee. apply refl_equal.
% 47.07/47.28 cut (((op2 (op2 (e21) (e21)) (e21)) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4f0].
% 47.07/47.28 cut (((e21) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H4f1].
% 47.07/47.28 congruence.
% 47.07/47.28 apply zenon_H4f1. apply sym_equal. exact zenon_H37b.
% 47.07/47.28 apply zenon_H4f0. apply sym_equal. exact zenon_H13.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_L11_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H4e9); [ zenon_intro zenon_H4f3 | zenon_intro zenon_H4f2 ].
% 47.07/47.28 cut (((h2 (e12)) = (op2 (e21) (e21))) = ((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4f3.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H32a.
% 47.07/47.28 cut (((op2 (e21) (e21)) = (op2 (h2 (e11)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4f4].
% 47.07/47.28 cut (((h2 (e12)) = (h2 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4f5].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((h2 (op1 (e11) (e11))) = (h2 (op1 (e11) (e11))))); [ zenon_intro zenon_H4f6 | zenon_intro zenon_H4f7 ].
% 47.07/47.28 cut (((h2 (op1 (e11) (e11))) = (h2 (op1 (e11) (e11)))) = ((h2 (e12)) = (h2 (op1 (e11) (e11))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4f5.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4f6.
% 47.07/47.28 cut (((h2 (op1 (e11) (e11))) = (h2 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H4f7].
% 47.07/47.28 cut (((h2 (op1 (e11) (e11))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H4f8].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op1 (e11) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H1a].
% 47.07/47.28 congruence.
% 47.07/47.28 apply zenon_H1a. apply sym_equal. exact zenon_H19.
% 47.07/47.28 apply zenon_H4f7. apply refl_equal.
% 47.07/47.28 apply zenon_H4f7. apply refl_equal.
% 47.07/47.28 cut (((e21) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H4f1].
% 47.07/47.28 cut (((e21) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H4f1].
% 47.07/47.28 congruence.
% 47.07/47.28 apply zenon_H4f1. apply sym_equal. exact zenon_H37b.
% 47.07/47.28 apply zenon_H4f1. apply sym_equal. exact zenon_H37b.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H4f2); [ zenon_intro zenon_H37c | zenon_intro zenon_H4f9 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.28 apply (zenon_L218_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.28 apply (zenon_L219_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.28 apply (zenon_L307_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.28 apply (zenon_L156_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.28 apply (zenon_L148_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.28 apply (zenon_L220_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.28 apply (zenon_L206_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.28 apply (zenon_L148_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.07/47.28 apply (zenon_L150_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.07/47.28 apply (zenon_L160_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.07/47.28 apply (zenon_L399_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2dd ].
% 47.07/47.28 apply (zenon_L162_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H2de ].
% 47.07/47.28 apply (zenon_L163_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H296 | zenon_intro zenon_H1de ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.28 apply (zenon_L45_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.28 apply (zenon_L282_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.28 apply (zenon_L15_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H50 | zenon_intro zenon_H316 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H301 | zenon_intro zenon_H317 ].
% 47.07/47.28 apply (zenon_L285_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_Hee | zenon_intro zenon_Hf7 ].
% 47.07/47.28 apply (zenon_L50_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.28 apply (zenon_L9_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.28 apply (zenon_L390_); trivial.
% 47.07/47.28 apply (zenon_L400_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_L11_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.28 apply (zenon_L133_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.28 apply (zenon_L9_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.28 apply (zenon_L401_); trivial.
% 47.07/47.28 apply (zenon_L400_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_L11_); trivial.
% 47.07/47.28 apply (zenon_L361_); trivial.
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_L166_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.28 apply (zenon_L151_); trivial.
% 47.07/47.28 apply (zenon_L152_); trivial.
% 47.07/47.28 apply (zenon_L366_); trivial.
% 47.07/47.28 apply (zenon_L381_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H4f9); [ zenon_intro zenon_H389 | zenon_intro zenon_H4fa ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.28 apply (zenon_L218_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.28 apply (zenon_L219_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.28 apply (zenon_L307_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.28 apply (zenon_L156_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.28 apply (zenon_L148_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.28 apply (zenon_L220_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.28 apply (zenon_L206_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.28 apply (zenon_L148_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.07/47.28 apply (zenon_L150_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.07/47.28 apply (zenon_L160_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.07/47.28 apply (zenon_L399_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.28 apply (zenon_L45_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.28 apply (zenon_L282_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.28 apply (zenon_L15_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H50 | zenon_intro zenon_H316 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H301 | zenon_intro zenon_H317 ].
% 47.07/47.28 apply (zenon_L285_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_Hee | zenon_intro zenon_Hf7 ].
% 47.07/47.28 apply (zenon_L50_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.28 apply (zenon_L9_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.28 apply (zenon_L390_); trivial.
% 47.07/47.28 apply (zenon_L402_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_L11_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.28 apply (zenon_L133_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.28 apply (zenon_L9_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.28 apply (zenon_L401_); trivial.
% 47.07/47.28 apply (zenon_L402_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_L11_); trivial.
% 47.07/47.28 apply (zenon_L361_); trivial.
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.28 apply (zenon_L151_); trivial.
% 47.07/47.28 apply (zenon_L152_); trivial.
% 47.07/47.28 apply (zenon_L366_); trivial.
% 47.07/47.28 apply (zenon_L381_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H4fa); [ zenon_intro zenon_H4fc | zenon_intro zenon_H4fb ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.28 apply (zenon_L218_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.28 apply (zenon_L219_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.28 apply (zenon_L45_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.28 apply (zenon_L282_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.28 cut (((h2 (e11)) = (e21)) = ((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4fc.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H37b.
% 47.07/47.28 cut (((e21) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4fd].
% 47.07/47.28 cut (((h2 (e11)) = (h2 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4fe].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10))))); [ zenon_intro zenon_H4ff | zenon_intro zenon_H500 ].
% 47.07/47.28 cut (((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10)))) = ((h2 (e11)) = (h2 (op1 (e12) (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4fe.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H4ff.
% 47.07/47.28 cut (((h2 (op1 (e12) (e10))) = (h2 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H500].
% 47.07/47.28 cut (((h2 (op1 (e12) (e10))) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H501].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op1 (e12) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H502].
% 47.07/47.28 congruence.
% 47.07/47.28 exact (zenon_H502 zenon_Hed).
% 47.07/47.28 apply zenon_H500. apply refl_equal.
% 47.07/47.28 apply zenon_H500. apply refl_equal.
% 47.07/47.28 elim (classic ((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [ zenon_intro zenon_H503 | zenon_intro zenon_H504 ].
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10)))) = ((e21) = (op2 (h2 (e12)) (h2 (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H4fd.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H503.
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H504].
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e10))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H505].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op2 (e22) (e20)) = (e21)) = ((op2 (h2 (e12)) (h2 (e10))) = (e21))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H505.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H2a8.
% 47.07/47.28 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H181].
% 47.07/47.28 cut (((op2 (e22) (e20)) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H506].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [ zenon_intro zenon_H503 | zenon_intro zenon_H504 ].
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10)))) = ((op2 (e22) (e20)) = (op2 (h2 (e12)) (h2 (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H506.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H503.
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (h2 (e12)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H504].
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H507].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 47.07/47.28 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 47.07/47.28 congruence.
% 47.07/47.28 apply (zenon_L325_); trivial.
% 47.07/47.28 apply (zenon_L1_); trivial.
% 47.07/47.28 apply zenon_H504. apply refl_equal.
% 47.07/47.28 apply zenon_H504. apply refl_equal.
% 47.07/47.28 apply zenon_H181. apply refl_equal.
% 47.07/47.28 apply zenon_H504. apply refl_equal.
% 47.07/47.28 apply zenon_H504. apply refl_equal.
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_L381_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H4fb); [ zenon_intro zenon_H509 | zenon_intro zenon_H508 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.28 cut (((h2 (e10)) = (op2 (op2 (e21) (e21)) (e21))) = ((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H509.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H13.
% 47.07/47.28 cut (((op2 (op2 (e21) (e21)) (e21)) = (op2 (h2 (e12)) (h2 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H50a].
% 47.07/47.28 cut (((h2 (e10)) = (h2 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H50b].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((h2 (op1 (e12) (e11))) = (h2 (op1 (e12) (e11))))); [ zenon_intro zenon_H50c | zenon_intro zenon_H50d ].
% 47.07/47.28 cut (((h2 (op1 (e12) (e11))) = (h2 (op1 (e12) (e11)))) = ((h2 (e10)) = (h2 (op1 (e12) (e11))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H50b.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H50c.
% 47.07/47.28 cut (((h2 (op1 (e12) (e11))) = (h2 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H50d].
% 47.07/47.28 cut (((h2 (op1 (e12) (e11))) = (h2 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H50e].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H50f].
% 47.07/47.28 congruence.
% 47.07/47.28 exact (zenon_H50f zenon_H32e).
% 47.07/47.28 apply zenon_H50d. apply refl_equal.
% 47.07/47.28 apply zenon_H50d. apply refl_equal.
% 47.07/47.28 cut (((e21) = (h2 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H4f1].
% 47.07/47.28 cut (((op2 (e21) (e21)) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H510].
% 47.07/47.28 congruence.
% 47.07/47.28 apply zenon_H510. apply sym_equal. exact zenon_H32a.
% 47.07/47.28 apply zenon_H4f1. apply sym_equal. exact zenon_H37b.
% 47.07/47.28 apply (zenon_L19_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H508); [ zenon_intro zenon_H396 | zenon_intro zenon_H511 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.28 apply (zenon_L218_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.28 apply (zenon_L219_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.28 apply (zenon_L307_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.28 apply (zenon_L156_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.28 apply (zenon_L160_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H23b | zenon_intro zenon_H2c4 ].
% 47.07/47.28 apply (zenon_L222_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2c5 ].
% 47.07/47.28 apply (zenon_L223_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H29a | zenon_intro zenon_H23c ].
% 47.07/47.28 apply (zenon_L321_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H226 ].
% 47.07/47.28 apply (zenon_L151_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H227 ].
% 47.07/47.28 apply (zenon_L168_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H207 | zenon_intro zenon_H223 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.28 apply (zenon_L45_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.28 apply (zenon_L282_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.28 apply (zenon_L15_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.28 apply (zenon_L50_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.28 apply (zenon_L51_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.28 apply (zenon_L137_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.28 apply (zenon_L327_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.28 apply (zenon_L403_); trivial.
% 47.07/47.28 apply (zenon_L84_); trivial.
% 47.07/47.28 apply (zenon_L19_); trivial.
% 47.07/47.28 apply (zenon_L361_); trivial.
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_L210_); trivial.
% 47.07/47.28 apply (zenon_L167_); trivial.
% 47.07/47.28 apply (zenon_L366_); trivial.
% 47.07/47.28 apply (zenon_L381_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H511); [ zenon_intro zenon_H513 | zenon_intro zenon_H512 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.28 apply (zenon_L218_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.28 apply (zenon_L219_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.28 apply (zenon_L307_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.28 apply (zenon_L156_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H23b | zenon_intro zenon_H2c4 ].
% 47.07/47.28 apply (zenon_L222_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2c5 ].
% 47.07/47.28 apply (zenon_L223_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H29a | zenon_intro zenon_H23c ].
% 47.07/47.28 apply (zenon_L321_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.28 apply (zenon_L45_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.28 apply (zenon_L282_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.28 apply (zenon_L15_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.28 apply (zenon_L50_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.28 apply (zenon_L51_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.28 apply (zenon_L137_); trivial.
% 47.07/47.28 cut (((h2 (e12)) = (op2 (e21) (e21))) = ((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H513.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H32a.
% 47.07/47.28 cut (((op2 (e21) (e21)) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H514].
% 47.07/47.28 cut (((h2 (e12)) = (h2 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H515].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((h2 (op1 (e12) (e13))) = (h2 (op1 (e12) (e13))))); [ zenon_intro zenon_H516 | zenon_intro zenon_H517 ].
% 47.07/47.28 cut (((h2 (op1 (e12) (e13))) = (h2 (op1 (e12) (e13)))) = ((h2 (e12)) = (h2 (op1 (e12) (e13))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H515.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H516.
% 47.07/47.28 cut (((h2 (op1 (e12) (e13))) = (h2 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H517].
% 47.07/47.28 cut (((h2 (op1 (e12) (e13))) = (h2 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H518].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H519].
% 47.07/47.28 congruence.
% 47.07/47.28 exact (zenon_H519 zenon_Hb8).
% 47.07/47.28 apply zenon_H517. apply refl_equal.
% 47.07/47.28 apply zenon_H517. apply refl_equal.
% 47.07/47.28 elim (classic ((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [ zenon_intro zenon_H51a | zenon_intro zenon_H51b ].
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13)))) = ((op2 (e21) (e21)) = (op2 (h2 (e12)) (h2 (e13))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H514.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H51a.
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H51b].
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H51c].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op2 (e22) (e23)) = (e22)) = ((op2 (h2 (e12)) (h2 (e13))) = (op2 (e21) (e21)))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H51c.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H23c.
% 47.07/47.28 cut (((e22) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H4e3].
% 47.07/47.28 cut (((op2 (e22) (e23)) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H51d].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [ zenon_intro zenon_H51a | zenon_intro zenon_H51b ].
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13)))) = ((op2 (e22) (e23)) = (op2 (h2 (e12)) (h2 (e13))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H51d.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H51a.
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (h2 (e12)) (h2 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H51b].
% 47.07/47.28 cut (((op2 (h2 (e12)) (h2 (e13))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H51e].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 47.07/47.28 cut (((h2 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H329].
% 47.07/47.28 congruence.
% 47.07/47.28 apply (zenon_L325_); trivial.
% 47.07/47.28 apply (zenon_L391_); trivial.
% 47.07/47.28 apply zenon_H51b. apply refl_equal.
% 47.07/47.28 apply zenon_H51b. apply refl_equal.
% 47.07/47.28 exact (zenon_H4e3 zenon_H183).
% 47.07/47.28 apply zenon_H51b. apply refl_equal.
% 47.07/47.28 apply zenon_H51b. apply refl_equal.
% 47.07/47.28 apply (zenon_L361_); trivial.
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_L366_); trivial.
% 47.07/47.28 apply (zenon_L381_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H512); [ zenon_intro zenon_H520 | zenon_intro zenon_H51f ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.28 apply (zenon_L218_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.28 apply (zenon_L219_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H280 ].
% 47.07/47.28 apply (zenon_L307_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H1c8 | zenon_intro zenon_H281 ].
% 47.07/47.28 apply (zenon_L158_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H23b | zenon_intro zenon_H257 ].
% 47.07/47.28 apply (zenon_L222_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.28 apply (zenon_L45_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.28 apply (zenon_L282_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H50 | zenon_intro zenon_H316 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H301 | zenon_intro zenon_H317 ].
% 47.07/47.28 apply (zenon_L285_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_Hee | zenon_intro zenon_Hf7 ].
% 47.07/47.28 apply (zenon_L50_); trivial.
% 47.07/47.28 elim (classic ((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10))))); [ zenon_intro zenon_H521 | zenon_intro zenon_H522 ].
% 47.07/47.28 cut (((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10)))) = ((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H520.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H521.
% 47.07/47.28 cut (((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H522].
% 47.07/47.28 cut (((op2 (h2 (e13)) (h2 (e10))) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H523].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((op2 (e23) (e20)) = (e22)) = ((op2 (h2 (e13)) (h2 (e10))) = (h2 (op1 (e13) (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H523.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H257.
% 47.07/47.28 cut (((e22) = (h2 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3a2].
% 47.07/47.28 cut (((op2 (e23) (e20)) = (op2 (h2 (e13)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H524].
% 47.07/47.28 congruence.
% 47.07/47.28 elim (classic ((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10))))); [ zenon_intro zenon_H521 | zenon_intro zenon_H522 ].
% 47.07/47.28 cut (((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10)))) = ((op2 (e23) (e20)) = (op2 (h2 (e13)) (h2 (e10))))).
% 47.07/47.28 intro zenon_D_pnotp.
% 47.07/47.28 apply zenon_H524.
% 47.07/47.28 rewrite <- zenon_D_pnotp.
% 47.07/47.28 exact zenon_H521.
% 47.07/47.28 cut (((op2 (h2 (e13)) (h2 (e10))) = (op2 (h2 (e13)) (h2 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H522].
% 47.07/47.28 cut (((op2 (h2 (e13)) (h2 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H525].
% 47.07/47.28 congruence.
% 47.07/47.28 cut (((h2 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H12].
% 47.07/47.28 cut (((h2 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H367].
% 47.07/47.28 congruence.
% 47.07/47.28 apply (zenon_L391_); trivial.
% 47.07/47.28 apply (zenon_L1_); trivial.
% 47.07/47.28 apply zenon_H522. apply refl_equal.
% 47.07/47.28 apply zenon_H522. apply refl_equal.
% 47.07/47.28 apply (zenon_L404_); trivial.
% 47.07/47.28 apply zenon_H522. apply refl_equal.
% 47.07/47.28 apply zenon_H522. apply refl_equal.
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_L381_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H51f); [ zenon_intro zenon_H3a8 | zenon_intro zenon_H526 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.28 apply (zenon_L160_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H2e2 ].
% 47.07/47.28 apply (zenon_L220_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2e3 ].
% 47.07/47.28 apply (zenon_L221_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H22e ].
% 47.07/47.28 apply (zenon_L168_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H69 | zenon_intro zenon_Hd1 ].
% 47.07/47.28 apply (zenon_L19_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H7d | zenon_intro zenon_Hd2 ].
% 47.07/47.28 apply (zenon_L40_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Haf | zenon_intro zenon_Hb5 ].
% 47.07/47.28 apply (zenon_L28_); trivial.
% 47.07/47.28 apply (zenon_L405_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_L167_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H526); [ zenon_intro zenon_H3bb | zenon_intro zenon_H527 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.28 apply (zenon_L218_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.28 apply (zenon_L219_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.28 apply (zenon_L307_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.28 apply (zenon_L156_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.28 apply (zenon_L148_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.28 apply (zenon_L220_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.28 apply (zenon_L206_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.28 apply (zenon_L148_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H186 | zenon_intro zenon_H2c0 ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2c1 ].
% 47.07/47.28 apply (zenon_L160_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H1ea | zenon_intro zenon_H1e3 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H355); [ zenon_intro zenon_H18b | zenon_intro zenon_H358 ].
% 47.07/47.28 apply (zenon_L157_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H358); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H359 ].
% 47.07/47.28 apply (zenon_L398_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H359); [ zenon_intro zenon_H290 | zenon_intro zenon_H260 ].
% 47.07/47.28 apply (zenon_L213_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cd); [ zenon_intro zenon_H23 | zenon_intro zenon_H3ce ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H4f | zenon_intro zenon_H167 ].
% 47.07/47.28 apply (zenon_L280_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H16c ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H4f | zenon_intro zenon_H16d ].
% 47.07/47.28 apply (zenon_L45_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_He1 | zenon_intro zenon_H16e ].
% 47.07/47.28 apply (zenon_L282_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hed | zenon_intro zenon_H15a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H50 | zenon_intro zenon_H168 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H57 | zenon_intro zenon_H169 ].
% 47.07/47.28 apply (zenon_L15_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H5b | zenon_intro zenon_H8e ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H50 | zenon_intro zenon_H316 ].
% 47.07/47.28 apply (zenon_L283_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H301 | zenon_intro zenon_H317 ].
% 47.07/47.28 apply (zenon_L285_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_Hee | zenon_intro zenon_Hf7 ].
% 47.07/47.28 apply (zenon_L50_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H2d | zenon_intro zenon_H16a ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H5f | zenon_intro zenon_H16b ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2d | zenon_intro zenon_H49 ].
% 47.07/47.28 apply (zenon_L7_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H34 | zenon_intro zenon_H4a ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H345); [ zenon_intro zenon_H33 | zenon_intro zenon_H347 ].
% 47.07/47.28 apply (zenon_L9_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H347); [ zenon_intro zenon_H32c | zenon_intro zenon_H348 ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H348); [ zenon_intro zenon_Hdf | zenon_intro zenon_H172 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H344); [ zenon_intro zenon_H1d | zenon_intro zenon_H349 ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H349); [ zenon_intro zenon_H32c | zenon_intro zenon_H34a ].
% 47.07/47.28 apply (zenon_L326_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H34a); [ zenon_intro zenon_H32e | zenon_intro zenon_H69 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_Hee | zenon_intro zenon_H131 ].
% 47.07/47.28 apply (zenon_L50_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H132 ].
% 47.07/47.28 apply (zenon_L51_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hb8 ].
% 47.07/47.28 apply (zenon_L137_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H3a | zenon_intro zenon_Had ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H60 | zenon_intro zenon_Hae ].
% 47.07/47.28 apply (zenon_L327_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H339); [ zenon_intro zenon_H71 | zenon_intro zenon_H33a ].
% 47.07/47.28 apply (zenon_L113_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H33a); [ zenon_intro zenon_H69 | zenon_intro zenon_H33b ].
% 47.07/47.28 apply (zenon_L19_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H33b); [ zenon_intro zenon_H102 | zenon_intro zenon_H30a ].
% 47.07/47.28 apply (zenon_L288_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_Hd7 | zenon_intro zenon_H158 ].
% 47.07/47.28 apply (zenon_L412_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H136 | zenon_intro zenon_H159 ].
% 47.07/47.28 apply (zenon_L92_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H152 ].
% 47.07/47.28 apply (zenon_L84_); trivial.
% 47.07/47.28 apply (zenon_L388_); trivial.
% 47.07/47.28 apply (zenon_L84_); trivial.
% 47.07/47.28 apply (zenon_L19_); trivial.
% 47.07/47.28 apply (zenon_L411_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3a | zenon_intro zenon_H41 ].
% 47.07/47.28 apply (zenon_L10_); trivial.
% 47.07/47.28 apply (zenon_L11_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hd7 ].
% 47.07/47.28 apply (zenon_L133_); trivial.
% 47.07/47.28 apply (zenon_L412_); trivial.
% 47.07/47.28 apply (zenon_L361_); trivial.
% 47.07/47.28 apply (zenon_L343_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H141 | zenon_intro zenon_H14f ].
% 47.07/47.28 apply (zenon_L298_); trivial.
% 47.07/47.28 apply (zenon_L306_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3ce); [ zenon_intro zenon_H1d | zenon_intro zenon_H3cf ].
% 47.07/47.28 apply (zenon_L4_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H3cf); [ zenon_intro zenon_H22 | zenon_intro zenon_H13d ].
% 47.07/47.28 apply (zenon_L124_); trivial.
% 47.07/47.28 apply (zenon_L142_); trivial.
% 47.07/47.28 apply (zenon_L167_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.28 apply (zenon_L151_); trivial.
% 47.07/47.28 apply (zenon_L152_); trivial.
% 47.07/47.28 apply (zenon_L366_); trivial.
% 47.07/47.28 apply (zenon_L381_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H527); [ zenon_intro zenon_H3c7 | zenon_intro zenon_H528 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H423); [ zenon_intro zenon_H18c | zenon_intro zenon_H4bf ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2da ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H29f | zenon_intro zenon_H2e1 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H2be ].
% 47.07/47.28 apply (zenon_L279_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H2bf ].
% 47.07/47.28 apply (zenon_L219_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2b8 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H27e ].
% 47.07/47.28 apply (zenon_L307_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1bf | zenon_intro zenon_H27f ].
% 47.07/47.28 apply (zenon_L156_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1db ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H195 | zenon_intro zenon_H282 ].
% 47.07/47.28 apply (zenon_L148_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H283 ].
% 47.07/47.28 apply (zenon_L220_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H24e | zenon_intro zenon_H278 ].
% 47.07/47.28 apply (zenon_L206_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H195 | zenon_intro zenon_H1b1 ].
% 47.07/47.28 apply (zenon_L148_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b2 ].
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H19b | zenon_intro zenon_H2db ].
% 47.07/47.28 apply (zenon_L150_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H1cd | zenon_intro zenon_H2dc ].
% 47.07/47.28 apply (zenon_L160_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ].
% 47.07/47.28 apply (zenon_L399_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H1da | zenon_intro zenon_H2c8 ].
% 47.07/47.28 apply (zenon_L207_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1de | zenon_intro zenon_H2c9 ].
% 47.07/47.28 apply (zenon_L166_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H222 | zenon_intro zenon_H243 ].
% 47.07/47.28 apply (zenon_L233_); trivial.
% 47.07/47.28 apply (zenon_L427_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a9 ].
% 47.07/47.28 apply (zenon_L151_); trivial.
% 47.07/47.28 apply (zenon_L152_); trivial.
% 47.07/47.28 apply (zenon_L366_); trivial.
% 47.07/47.28 apply (zenon_L381_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2cf | zenon_intro zenon_H1da ].
% 47.07/47.28 apply (zenon_L320_); trivial.
% 47.07/47.28 apply (zenon_L324_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4bf); [ zenon_intro zenon_H186 | zenon_intro zenon_H4cb ].
% 47.07/47.28 apply (zenon_L145_); trivial.
% 47.07/47.28 apply (zenon_or_s _ _ zenon_H4cb); [ zenon_intro zenon_H18b | zenon_intro zenon_H2e6 ].
% 47.07/47.28 apply (zenon_L251_); trivial.
% 47.07/47.28 apply (zenon_L278_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H528); [ zenon_intro zenon_H52a | zenon_intro zenon_H529 ].
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_H52a). zenon_intro zenon_H12. zenon_intro zenon_H52b.
% 47.07/47.28 apply (zenon_L1_); trivial.
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H529); [ zenon_intro zenon_H52d | zenon_intro zenon_H52c ].
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_H52d). zenon_intro zenon_H52f. zenon_intro zenon_H52e.
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_H52e). zenon_intro zenon_H388. zenon_intro zenon_H530.
% 47.07/47.28 exact (zenon_H388 zenon_H37b).
% 47.07/47.28 apply (zenon_notand_s _ _ zenon_H52c); [ zenon_intro zenon_H532 | zenon_intro zenon_H531 ].
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_H532). zenon_intro zenon_H534. zenon_intro zenon_H533.
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_H533). zenon_intro zenon_H536. zenon_intro zenon_H535.
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_H535). zenon_intro zenon_H329. zenon_intro zenon_H537.
% 47.07/47.28 apply (zenon_L325_); trivial.
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_H531). zenon_intro zenon_H539. zenon_intro zenon_H538.
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_H538). zenon_intro zenon_H53b. zenon_intro zenon_H53a.
% 47.07/47.28 apply (zenon_notor_s _ _ zenon_H53a). zenon_intro zenon_H53c. zenon_intro zenon_H367.
% 47.07/47.28 apply (zenon_L391_); trivial.
% 47.07/47.28 Qed.
% 47.07/47.28 % SZS output end Proof
% 47.07/47.28 (* END-PROOF *)
% 47.07/47.28 nodes searched: 1993535
% 47.07/47.28 max branch formulas: 2155
% 47.07/47.28 proof nodes created: 32373
% 47.07/47.28 formulas created: 1117574
% 47.07/47.28
%------------------------------------------------------------------------------